Reactivity and transient dynamics of predator–prey and food web models
Stability and resilience characterize the asymptotic responses of perturbations to the equilibria of ecological models. Short-term responses, however, can differ markedly from asymptotic responses. Perturbations to a stable equilibrium may, for example, produce trajectories that initially move away...
Saved in:
| Published in: | Ecological modelling Vol. 179; no. 1; pp. 29 - 38 |
|---|---|
| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Amsterdam
Elsevier B.V
01-11-2004
Elsevier |
| Subjects: | |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | Stability and resilience characterize the asymptotic responses of perturbations to the equilibria of ecological models. Short-term responses, however, can differ markedly from asymptotic responses. Perturbations to a stable equilibrium may, for example, produce trajectories that initially move away from, rather than towards, the equilibrium. The maximum short-term rate of departure from the equilibrium is called the “reactivity”, and stable equilibria with positive reactivity are called “reactive”. These transient responses can be large and long-lasting, and have been reported in a variety of ecological models. In this paper we explore the reactivity of predator–prey and food web models. We show that coexistence equilibria are reactive in all predator–prey and food web models in which at least one species has a per capita growth rate that is independent of its own density. These constitute the vast majority of published models. When density-dependent mortality of the top predator is included in the form of a non-linear “closure term”, reactivity always decreases, and may be eliminated altogether. Our results imply that short-term amplification of perturbations is a real possibility for predator–prey interactions and food webs. |
|---|---|
| AbstractList | Stability and resilience characterize the asymptotic responses of perturbations to the equilibria of ecological models. Short-term responses, however, can differ markedly from asymptotic responses. Perturbations to a stable equilibrium may, for example, produce trajectories that initially move away from, rather than towards, the equilibrium. The maximum short-term rate of departure from the equilibrium is called the 'reactivity', and stable equilibria with positive reactivity are called 'reactive'. These transient responses can be large and long-lasting, and have been reported in a variety of ecological models. In this paper we explore the reactivity of predator-prey and food web models. We show that coexistence equilibria are reactive in all predator-prey and food web models in which at least one species has a per capita growth rate that is independent of its own density. These constitute the vast majority of published models. When density-dependent mortality of the top predator is included in the form of a non-linear 'closure term', reactivity always decreases, and may be eliminated altogether. Our results imply that short-term amplification of perturbations is a real possibility for predator-prey interactions and food webs. |
| Author | Neubert, Michael G Caswell, Hal Klanjscek, Tin |
| Author_xml | – sequence: 1 givenname: Michael G surname: Neubert fullname: Neubert, Michael G email: mneubert@whoi.edu – sequence: 2 givenname: Tin surname: Klanjscek fullname: Klanjscek, Tin – sequence: 3 givenname: Hal surname: Caswell fullname: Caswell, Hal |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=16019573$$DView record in Pascal Francis |
| BookMark | eNqFkM9KAzEQh4Mo2KrP4F70tuskmzTbYxH_QUEQPYdsMoGU7aYmW6U338E39ElMbdGjp5nD95sf843JYR96JOScQkWBTq4WFZrQLYPFrmIAvAJRAdADMqKNZKUENjkkI6iBl3UDcEzGKS0gE6xhI3L_hNoM_s0Pm0L3thii7pPHfijsptdLb1IRXLGKaPUQ4tfHZ153pAvBFu_YFj_V6ZQcOd0lPNvPE_Jye_N8fV_OH-8ermfz0nAOQ4kNFxQYz9PBtOVWG5zUXFjNjNTQoDRGNEKKtpYts9K51rlmKjRzluWtPiGXu7urGF7XmAa19Mlg1-kewzop2gCvJRMZlDvQxJBSRKdW0S913CgKamtOLdSvObU1p0Co7CUnL_YVOhnduazE-PQXnwCdCllnbrbj8vv45jGqZLI6g9ZHNIOywf_b9Q3TDYwx |
| CODEN | ECMODT |
| CitedBy_id | crossref_primary_10_1016_j_pocean_2014_04_025 crossref_primary_10_1002_ecs2_1518 crossref_primary_10_1140_epjp_s13360_023_03824_6 crossref_primary_10_1007_s11538_008_9309_2 crossref_primary_10_1038_s41586_021_03375_9 crossref_primary_10_3934_mbe_2020232 crossref_primary_10_1016_j_ecolmodel_2005_03_003 crossref_primary_10_1016_j_ecocom_2014_05_005 crossref_primary_10_1088_1367_2630_15_11_113036 crossref_primary_10_1002_ecm_1278 crossref_primary_10_1016_j_jtbi_2015_10_012 crossref_primary_10_1016_j_jtbi_2009_04_006 crossref_primary_10_1002_ecm_1598 crossref_primary_10_1086_674010 crossref_primary_10_1137_21M140451X crossref_primary_10_1137_120893859 crossref_primary_10_1890_07_0347_1 crossref_primary_10_1016_j_jtbi_2017_01_036 crossref_primary_10_1016_j_cnsns_2023_107788 crossref_primary_10_1111_j_1365_2664_2007_01333_x crossref_primary_10_1016_j_ecolmodel_2013_05_007 crossref_primary_10_1140_epjp_s13360_021_02138_9 crossref_primary_10_1103_PhysRevE_93_012415 crossref_primary_10_1890_12_0797_1 crossref_primary_10_1890_10_0776_1 crossref_primary_10_1007_s12080_019_00446_6 crossref_primary_10_5194_bg_18_2891_2021 crossref_primary_10_1093_plankt_fbn078 crossref_primary_10_1890_10_2320_1 crossref_primary_10_1155_2023_4977217 crossref_primary_10_5194_gmd_8_2231_2015 crossref_primary_10_1140_epjp_s13360_022_03429_5 crossref_primary_10_1016_j_dsr2_2008_11_021 crossref_primary_10_1103_PhysRevE_102_032409 crossref_primary_10_1016_j_ecolmodel_2022_110183 crossref_primary_10_1111_j_1469_1795_2007_00138_x crossref_primary_10_1142_S1793524517500097 crossref_primary_10_1086_701629 crossref_primary_10_1016_j_jtbi_2018_03_024 crossref_primary_10_1890_07_0348_1 crossref_primary_10_1073_pnas_2003955118 crossref_primary_10_1111_j_1365_2664_2008_01562_x crossref_primary_10_1016_j_physleta_2005_04_098 crossref_primary_10_1016_j_ecolmodel_2008_12_008 crossref_primary_10_1140_epjp_s13360_021_01525_6 crossref_primary_10_1007_s11538_008_9312_7 crossref_primary_10_1111_2041_210X_12805 crossref_primary_10_1137_080718929 crossref_primary_10_1016_j_tpb_2010_03_004 crossref_primary_10_1016_j_biosystems_2019_104064 crossref_primary_10_1142_S0218127408021671 crossref_primary_10_1016_j_neuron_2009_02_005 crossref_primary_10_1142_S021812742450041X crossref_primary_10_3389_fevo_2014_00021 crossref_primary_10_1007_s12080_023_00559_z crossref_primary_10_1002_ecm_1328 crossref_primary_10_1080_10236190412331335382 crossref_primary_10_1890_08_2014_1 |
| Cites_doi | 10.1006/bulm.1998.0082 10.1137/0148008 10.1890/0012-9615(2003)073[0301:ECSAEI]2.0.CO;2 10.1007/978-3-642-84602-1_15 10.1098/rspb.2001.1596 10.1007/978-94-011-2342-6 10.1093/plankt/20.9.1837 10.1086/285159 10.1016/0304-3800(81)90013-2 10.1357/002224090784984678 10.1890/0012-9658(1997)078[0653:ATRFMT]2.0.CO;2 10.1093/plankt/22.6.1085 10.1017/CBO9780511608520 10.1086/283752 10.1038/268329a0 10.1016/1054-3139(95)80071-9 10.4319/lo.1993.38.1.0128 10.1093/plankt/14.1.157 10.1017/CBO9780511810817 10.1016/S0960-0779(00)00065-5 10.1137/0523008 10.1080/02681119608806231 10.1016/S0025-5564(01)00087-6 10.1111/j.0272-4332.2004.00485.x 10.1515/9780691209463 10.1007/BF00386670 |
| ContentType | Journal Article |
| Copyright | 2004 Elsevier B.V. 2004 INIST-CNRS |
| Copyright_xml | – notice: 2004 Elsevier B.V. – notice: 2004 INIST-CNRS |
| DBID | IQODW AAYXX CITATION 7SN C1K |
| DOI | 10.1016/j.ecolmodel.2004.05.001 |
| DatabaseName | Pascal-Francis CrossRef Ecology Abstracts Environmental Sciences and Pollution Management |
| DatabaseTitle | CrossRef Ecology Abstracts Environmental Sciences and Pollution Management |
| DatabaseTitleList | Ecology Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Ecology Environmental Sciences |
| EISSN | 1872-7026 |
| EndPage | 38 |
| ExternalDocumentID | 10_1016_j_ecolmodel_2004_05_001 16019573 S0304380004002509 |
| GroupedDBID | --K --M -~X .~1 0R~ 1B1 1RT 1~. 1~5 29G 4.4 457 4G. 53G 5GY 5VS 7-5 71M 8P~ 9JM AABNK AABVA AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALCJ AALRI AAOAW AAQFI AAQXK AATLK AAXUO ABEFU ABFNM ABFYP ABGRD ABLST ABMAC ABTAH ABXDB ABYKQ ACDAQ ACGFS ACIUM ACRLP ADBBV ADEZE ADMUD ADQTV AEBSH AEKER AENEX AEQOU AFFNX AFKWA AFTJW AFXIZ AGHFR AGUBO AGYEJ AHEUO AHHHB AI. AIEXJ AIKHN AITUG AJBFU AJOXV AKIFW ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ASPBG AVWKF AXJTR AZFZN BKOJK BLECG BLXMC CBWCG CS3 DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA HLV HMC HVGLF HZ~ IHE J1W KCYFY KOM LW9 LY9 M41 MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- RIG ROL RPZ SAB SCC SDF SDG SDP SEN SES SEW SPCBC SSA SSJ SSZ T5K VH1 WH7 WUQ Y6R ZY4 ~02 ~G- 08R AAPBV ABPIF ABPTK IQODW AAHBH AAXKI AAYXX AFJKZ AKRWK CITATION 7SN C1K |
| ID | FETCH-LOGICAL-c440t-e8451024e84f09b4dace6345da2c7a08e7cc58575b37b2d7ffbff895a2fd2ff83 |
| ISSN | 0304-3800 |
| IngestDate | Fri Oct 25 21:13:03 EDT 2024 Thu Sep 26 18:39:22 EDT 2024 Sun Oct 22 16:09:02 EDT 2023 Fri Feb 23 02:30:27 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | Food webs Stability Food chains Perturbations Transients Prey Trophic chain Food web Models Perturbation Predator |
| Language | English |
| License | CC BY 4.0 |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c440t-e8451024e84f09b4dace6345da2c7a08e7cc58575b37b2d7ffbff895a2fd2ff83 |
| Notes | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| PQID | 18043725 |
| PQPubID | 23462 |
| PageCount | 10 |
| ParticipantIDs | proquest_miscellaneous_18043725 crossref_primary_10_1016_j_ecolmodel_2004_05_001 pascalfrancis_primary_16019573 elsevier_sciencedirect_doi_10_1016_j_ecolmodel_2004_05_001 |
| PublicationCentury | 2000 |
| PublicationDate | 20041101 |
| PublicationDateYYYYMMDD | 2004-11-01 |
| PublicationDate_xml | – month: 11 year: 2004 text: 20041101 day: 01 |
| PublicationDecade | 2000 |
| PublicationPlace | Amsterdam |
| PublicationPlace_xml | – name: Amsterdam |
| PublicationTitle | Ecological modelling |
| PublicationYear | 2004 |
| Publisher | Elsevier B.V Elsevier |
| Publisher_xml | – name: Elsevier B.V – name: Elsevier |
| References | Horn, R.A., Johnson, C.R., 1985. Matrix Analysis. Cambridge University Press, Cambridge. Edwards, Brindley (BIB5) 1996; 11 Steele, Henderson (BIB28) 1992; 14 Edwards, Brindley (BIB6) 1999; 61 Gatto (BIB10) 1991; 137 Murdoch, W.W., Briggs, C.J., Nisbet, R.M., 2003. Consumer–Resource Dynamics. Princeton University Press, Princeton. Totterdell, I.J., 1993. An annotated bibliography of marine biological models. In: Evans, G.T., Fasham, M.J.R. (Eds.), Towards a Model of Ocean Biogeochemical Processes. Springer–Verlag, Berlin, pp. 317–339. Fasham, Ducklow, McKelvie (BIB9) 1990; 48 Neubert, Caswell (BIB22) 1997; 78 Ives, Dennis, Cottingham, Carpenter (BIB17) 2003; 73 Hainzl (BIB14) 1992; 23 Marvier, M., Kareiva, P., Neubert, M.G., 2003. Habitat destruction, fragmentation, and disturbance promote invasion by habitat generalists in a multispecies metapopulation. Risk Anal., in press. Pimm, Lawton (BIB24) 1977; 268 Bazykin, Berezovskaya, Denisov, Kuznetzov (BIB1) 1981; 14 Caswell, Neubert (BIB2) 1998; 20 Neubert, Caswell, Murray (BIB23) 2002; 175 Chen, Cohen (BIB3) 2001; 268 Ross, Gurney, Heath, Hay, Henderson (BIB25) 1993; 38 Edwards, Bees (BIB7) 2001; 12 Kot, M., 2001. Elements of Mathematical Ecology. Cambridge University Press, Cambridge. Gilpin, M.E., 1975. Group Selection in Predator–Prey Communities. Princeton University Press, Princeton. Steele, Henderson (BIB27) 1981; 117 Hainzl (BIB13) 1988; 48 Hirsch, M., Smale, S., 1974. Differential Equations, Dynamical Systems, and Linear Algebra. Academic Press, New York. Edwards, Yool (BIB8) 2000; 22 Steele, Henderson (BIB29) 1995; 52 Steele (BIB26) 1976; 35 DeAngelis, D.L., 1992. Dynamics of Nutrient Cyling and Food Webs. Chapman and Hall, London. Murray, J.D., 2002. Mathematical Biology. I. An Introduction. Springer–Verlag, New York. Gurney, W.S.C, Nisbet, R.M., 1998. Ecological Dynamics. Oxford University Press, New York. Steele (10.1016/j.ecolmodel.2004.05.001_BIB29) 1995; 52 10.1016/j.ecolmodel.2004.05.001_BIB30 Bazykin (10.1016/j.ecolmodel.2004.05.001_BIB1) 1981; 14 Neubert (10.1016/j.ecolmodel.2004.05.001_BIB22) 1997; 78 Caswell (10.1016/j.ecolmodel.2004.05.001_BIB2) 1998; 20 10.1016/j.ecolmodel.2004.05.001_BIB19 Chen (10.1016/j.ecolmodel.2004.05.001_BIB3) 2001; 268 Ross (10.1016/j.ecolmodel.2004.05.001_BIB25) 1993; 38 Steele (10.1016/j.ecolmodel.2004.05.001_BIB28) 1992; 14 Steele (10.1016/j.ecolmodel.2004.05.001_BIB27) 1981; 117 10.1016/j.ecolmodel.2004.05.001_BIB11 10.1016/j.ecolmodel.2004.05.001_BIB12 10.1016/j.ecolmodel.2004.05.001_BIB18 10.1016/j.ecolmodel.2004.05.001_BIB15 10.1016/j.ecolmodel.2004.05.001_BIB16 Steele (10.1016/j.ecolmodel.2004.05.001_BIB26) 1976; 35 Edwards (10.1016/j.ecolmodel.2004.05.001_BIB8) 2000; 22 10.1016/j.ecolmodel.2004.05.001_BIB20 Hainzl (10.1016/j.ecolmodel.2004.05.001_BIB14) 1992; 23 10.1016/j.ecolmodel.2004.05.001_BIB21 Ives (10.1016/j.ecolmodel.2004.05.001_BIB17) 2003; 73 Gatto (10.1016/j.ecolmodel.2004.05.001_BIB10) 1991; 137 Edwards (10.1016/j.ecolmodel.2004.05.001_BIB6) 1999; 61 Edwards (10.1016/j.ecolmodel.2004.05.001_BIB7) 2001; 12 Neubert (10.1016/j.ecolmodel.2004.05.001_BIB23) 2002; 175 Hainzl (10.1016/j.ecolmodel.2004.05.001_BIB13) 1988; 48 10.1016/j.ecolmodel.2004.05.001_BIB4 Pimm (10.1016/j.ecolmodel.2004.05.001_BIB24) 1977; 268 Fasham (10.1016/j.ecolmodel.2004.05.001_BIB9) 1990; 48 Edwards (10.1016/j.ecolmodel.2004.05.001_BIB5) 1996; 11 |
| References_xml | – volume: 14 start-page: 39 year: 1981 end-page: 57 ident: BIB1 article-title: The influence of predator saturation effect and competition among predators on predator–prey system dynamics publication-title: Ecol. Model. contributor: fullname: Kuznetzov – volume: 14 start-page: 157 year: 1992 end-page: 172 ident: BIB28 article-title: The role of predation in plankton models publication-title: J. Plankton Res. contributor: fullname: Henderson – volume: 48 start-page: 170 year: 1988 end-page: 190 ident: BIB13 article-title: Stability and Hopf bifurcation in a predator–prey system with several parameters publication-title: SIAM J. Appl. Math. contributor: fullname: Hainzl – volume: 78 start-page: 653 year: 1997 end-page: 665 ident: BIB22 article-title: Alternatives to resilience for measuring the responses of ecological systems to perturbations publication-title: Ecology contributor: fullname: Caswell – volume: 117 start-page: 676 year: 1981 end-page: 691 ident: BIB27 article-title: A simple plankton model publication-title: Am. Nat. contributor: fullname: Henderson – volume: 268 start-page: 869 year: 2001 end-page: 877 ident: BIB3 article-title: Transient dynamics and food-web complexity in the Lotka-Volterra cascade model publication-title: Proc. R. Soc. London B contributor: fullname: Cohen – volume: 73 start-page: 301 year: 2003 end-page: 330 ident: BIB17 article-title: Estimating community stability and ecological interactions from time-series data publication-title: Ecol. Monogr. contributor: fullname: Carpenter – volume: 268 start-page: 329 year: 1977 end-page: 331 ident: BIB24 article-title: Number of trophic levels in ecological communities publication-title: Nature contributor: fullname: Lawton – volume: 12 start-page: 289 year: 2001 end-page: 300 ident: BIB7 article-title: Generic dynamics of a simple plankton population model with a non-integer exponent of closure publication-title: Chaos, Solitons Fract. contributor: fullname: Bees – volume: 22 start-page: 1085 year: 2000 end-page: 1112 ident: BIB8 article-title: The role of higher predation in plankton population models publication-title: J. Plankton Res. contributor: fullname: Yool – volume: 38 start-page: 128 year: 1993 end-page: 153 ident: BIB25 article-title: A strategic simulation model of a fjord ecosystem publication-title: Limnol. Oceanogr. contributor: fullname: Henderson – volume: 20 start-page: 1837 year: 1998 end-page: 1845 ident: BIB2 article-title: Chaos and closure terms in plankton food chain models publication-title: J. Plankton Res. contributor: fullname: Neubert – volume: 48 start-page: 591 year: 1990 end-page: 653 ident: BIB9 article-title: A nitrogen-based model of plankton dynamics in the oceanic mixed layer publication-title: J. Marine Res. contributor: fullname: McKelvie – volume: 52 start-page: 565 year: 1995 end-page: 573 ident: BIB29 article-title: Predation control of plankton demography publication-title: ICES J. Marine Sci. contributor: fullname: Henderson – volume: 11 start-page: 347 year: 1996 end-page: 370 ident: BIB5 article-title: Oscillatory behaviour in a three-component plankton population model publication-title: Dyn. Stab. Syst. contributor: fullname: Brindley – volume: 35 start-page: 9 year: 1976 end-page: 11 ident: BIB26 article-title: The role of predation in ecosystem models publication-title: Marine Biol. contributor: fullname: Steele – volume: 23 start-page: 150 year: 1992 end-page: 180 ident: BIB14 article-title: Multiparameter bifurcation of a predator–prey system publication-title: SIAM J. Math. Anal. contributor: fullname: Hainzl – volume: 61 start-page: 303 year: 1999 end-page: 339 ident: BIB6 article-title: Zooplankton mortality and the dynamical behaviour of plankton population models publication-title: Bull. Math. Biol. contributor: fullname: Brindley – volume: 175 start-page: 1 year: 2002 end-page: 11 ident: BIB23 article-title: Transient dynamics and pattern formation: reactivity is necessary for Turing instability publication-title: Math. Biosci. contributor: fullname: Murray – volume: 137 start-page: 264 year: 1991 end-page: 267 ident: BIB10 article-title: Some remarks on models of plankton densities in lakes publication-title: Am. Nat. contributor: fullname: Gatto – volume: 61 start-page: 303 year: 1999 ident: 10.1016/j.ecolmodel.2004.05.001_BIB6 article-title: Zooplankton mortality and the dynamical behaviour of plankton population models publication-title: Bull. Math. Biol. doi: 10.1006/bulm.1998.0082 contributor: fullname: Edwards – volume: 48 start-page: 170 year: 1988 ident: 10.1016/j.ecolmodel.2004.05.001_BIB13 article-title: Stability and Hopf bifurcation in a predator–prey system with several parameters publication-title: SIAM J. Appl. Math. doi: 10.1137/0148008 contributor: fullname: Hainzl – volume: 73 start-page: 301 year: 2003 ident: 10.1016/j.ecolmodel.2004.05.001_BIB17 article-title: Estimating community stability and ecological interactions from time-series data publication-title: Ecol. Monogr. doi: 10.1890/0012-9615(2003)073[0301:ECSAEI]2.0.CO;2 contributor: fullname: Ives – ident: 10.1016/j.ecolmodel.2004.05.001_BIB30 doi: 10.1007/978-3-642-84602-1_15 – volume: 268 start-page: 869 year: 2001 ident: 10.1016/j.ecolmodel.2004.05.001_BIB3 article-title: Transient dynamics and food-web complexity in the Lotka-Volterra cascade model publication-title: Proc. R. Soc. London B doi: 10.1098/rspb.2001.1596 contributor: fullname: Chen – ident: 10.1016/j.ecolmodel.2004.05.001_BIB4 doi: 10.1007/978-94-011-2342-6 – volume: 20 start-page: 1837 issue: 9 year: 1998 ident: 10.1016/j.ecolmodel.2004.05.001_BIB2 article-title: Chaos and closure terms in plankton food chain models publication-title: J. Plankton Res. doi: 10.1093/plankt/20.9.1837 contributor: fullname: Caswell – volume: 137 start-page: 264 year: 1991 ident: 10.1016/j.ecolmodel.2004.05.001_BIB10 article-title: Some remarks on models of plankton densities in lakes publication-title: Am. Nat. doi: 10.1086/285159 contributor: fullname: Gatto – volume: 14 start-page: 39 year: 1981 ident: 10.1016/j.ecolmodel.2004.05.001_BIB1 article-title: The influence of predator saturation effect and competition among predators on predator–prey system dynamics publication-title: Ecol. Model. doi: 10.1016/0304-3800(81)90013-2 contributor: fullname: Bazykin – volume: 48 start-page: 591 year: 1990 ident: 10.1016/j.ecolmodel.2004.05.001_BIB9 article-title: A nitrogen-based model of plankton dynamics in the oceanic mixed layer publication-title: J. Marine Res. doi: 10.1357/002224090784984678 contributor: fullname: Fasham – volume: 78 start-page: 653 year: 1997 ident: 10.1016/j.ecolmodel.2004.05.001_BIB22 article-title: Alternatives to resilience for measuring the responses of ecological systems to perturbations publication-title: Ecology doi: 10.1890/0012-9658(1997)078[0653:ATRFMT]2.0.CO;2 contributor: fullname: Neubert – ident: 10.1016/j.ecolmodel.2004.05.001_BIB15 – volume: 22 start-page: 1085 year: 2000 ident: 10.1016/j.ecolmodel.2004.05.001_BIB8 article-title: The role of higher predation in plankton population models publication-title: J. Plankton Res. doi: 10.1093/plankt/22.6.1085 contributor: fullname: Edwards – ident: 10.1016/j.ecolmodel.2004.05.001_BIB18 doi: 10.1017/CBO9780511608520 – volume: 117 start-page: 676 year: 1981 ident: 10.1016/j.ecolmodel.2004.05.001_BIB27 article-title: A simple plankton model publication-title: Am. Nat. doi: 10.1086/283752 contributor: fullname: Steele – ident: 10.1016/j.ecolmodel.2004.05.001_BIB21 – volume: 268 start-page: 329 year: 1977 ident: 10.1016/j.ecolmodel.2004.05.001_BIB24 article-title: Number of trophic levels in ecological communities publication-title: Nature doi: 10.1038/268329a0 contributor: fullname: Pimm – volume: 52 start-page: 565 year: 1995 ident: 10.1016/j.ecolmodel.2004.05.001_BIB29 article-title: Predation control of plankton demography publication-title: ICES J. Marine Sci. doi: 10.1016/1054-3139(95)80071-9 contributor: fullname: Steele – volume: 38 start-page: 128 year: 1993 ident: 10.1016/j.ecolmodel.2004.05.001_BIB25 article-title: A strategic simulation model of a fjord ecosystem publication-title: Limnol. Oceanogr. doi: 10.4319/lo.1993.38.1.0128 contributor: fullname: Ross – volume: 14 start-page: 157 year: 1992 ident: 10.1016/j.ecolmodel.2004.05.001_BIB28 article-title: The role of predation in plankton models publication-title: J. Plankton Res. doi: 10.1093/plankt/14.1.157 contributor: fullname: Steele – ident: 10.1016/j.ecolmodel.2004.05.001_BIB16 doi: 10.1017/CBO9780511810817 – volume: 12 start-page: 289 year: 2001 ident: 10.1016/j.ecolmodel.2004.05.001_BIB7 article-title: Generic dynamics of a simple plankton population model with a non-integer exponent of closure publication-title: Chaos, Solitons Fract. doi: 10.1016/S0960-0779(00)00065-5 contributor: fullname: Edwards – volume: 23 start-page: 150 year: 1992 ident: 10.1016/j.ecolmodel.2004.05.001_BIB14 article-title: Multiparameter bifurcation of a predator–prey system publication-title: SIAM J. Math. Anal. doi: 10.1137/0523008 contributor: fullname: Hainzl – volume: 11 start-page: 347 year: 1996 ident: 10.1016/j.ecolmodel.2004.05.001_BIB5 article-title: Oscillatory behaviour in a three-component plankton population model publication-title: Dyn. Stab. Syst. doi: 10.1080/02681119608806231 contributor: fullname: Edwards – volume: 175 start-page: 1 year: 2002 ident: 10.1016/j.ecolmodel.2004.05.001_BIB23 article-title: Transient dynamics and pattern formation: reactivity is necessary for Turing instability publication-title: Math. Biosci. doi: 10.1016/S0025-5564(01)00087-6 contributor: fullname: Neubert – ident: 10.1016/j.ecolmodel.2004.05.001_BIB12 – ident: 10.1016/j.ecolmodel.2004.05.001_BIB19 doi: 10.1111/j.0272-4332.2004.00485.x – ident: 10.1016/j.ecolmodel.2004.05.001_BIB20 – ident: 10.1016/j.ecolmodel.2004.05.001_BIB11 doi: 10.1515/9780691209463 – volume: 35 start-page: 9 year: 1976 ident: 10.1016/j.ecolmodel.2004.05.001_BIB26 article-title: The role of predation in ecosystem models publication-title: Marine Biol. doi: 10.1007/BF00386670 contributor: fullname: Steele |
| SSID | ssj0001282 |
| Score | 2.0617986 |
| Snippet | Stability and resilience characterize the asymptotic responses of perturbations to the equilibria of ecological models. Short-term responses, however, can... |
| SourceID | proquest crossref pascalfrancis elsevier |
| SourceType | Aggregation Database Index Database Publisher |
| StartPage | 29 |
| SubjectTerms | Animal, plant and microbial ecology Biological and medical sciences Food chains Food webs Fundamental and applied biological sciences. Psychology General aspects. Techniques Methods and techniques (sampling, tagging, trapping, modelling...) Perturbations Stability Transients |
| Title | Reactivity and transient dynamics of predator–prey and food web models |
| URI | https://dx.doi.org/10.1016/j.ecolmodel.2004.05.001 https://search.proquest.com/docview/18043725 |
| Volume | 179 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1bb9MwFLa6TUhIaILBxMYYeeANBbmJUzu8TSOogMQDG9LeIju2JaoqrZb1gTf-A_-QX7JzfEmICgKEeEkjN40v5-u52OdCyPNSTBtmcjBTmdIpU0ylJcvBcEVyZ4WdSY7xzvML_uFKvK5YNZlEP66h7b9SGtqA1hg5-xfU7l8KDXAPNIcrUB2uf0T3jwZDFVxFCOccibIIYx5faF973rlurK-NRms7ujrk0OCft5jlGOMXXYmcbrRx3_SM0n25jFLP7SVvVIz-8Y74Q9Gu90vZLrrGeJ_szz0az2UXXbLnYVZx-4GFOLx-T2wrLsbHYuF5i6D-xMV41io46PLUx8f3vNdXkhmBLHDS8geZ7BPAbHF7v_GweAmG-tJN3Nn7LhNrGOI4lfYFjguHhZwLdL9yh-xlwKCAP-6dva2u3vUyHKR2OH_y8xh5Bv60u1_pNffWsgPCWF8mZUviOzXm8j7ZD_ZHcuaB84BMTHtA7njSfjkgh9UQ-AiPBc7fPSTzAVcJ4CTpcZVEXCUrm0Rcff_6DRHlnkREJYCoxCPqEfn0pro8n6ehCkfaMEZvUiMY8O2MwaelpWJaNmaWs0LLrOGSCsObpsA6ryrnKtPcWmWtKAuZWZ3BXX5IdttVax6TJKNagjpvcy00m1quqCmn2oIOSXNdivyI0LiG9donW6mjF-Ki7pcdS6eymhboj3lEXsW1roPO6HXBGkDy-x-fjqgzdDrDOFoOA3oWyVUD28WzNNma1aarpwKTgmXF8b_0_4TcHf5SJ2T35npjnpKdTm9OAyBvAXbSqcE |
| link.rule.ids | 315,782,786,27933,27934 |
| linkProvider | Elsevier |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Reactivity+and+transient+dynamics+of+predator%E2%80%93prey+and+food+web+models&rft.jtitle=Ecological+modelling&rft.au=Neubert%2C+Michael+G&rft.au=Klanjscek%2C+Tin&rft.au=Caswell%2C+Hal&rft.date=2004-11-01&rft.pub=Elsevier+B.V&rft.issn=0304-3800&rft.eissn=1872-7026&rft.volume=179&rft.issue=1&rft.spage=29&rft.epage=38&rft_id=info:doi/10.1016%2Fj.ecolmodel.2004.05.001&rft.externalDocID=S0304380004002509 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0304-3800&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0304-3800&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0304-3800&client=summon |