Analysis of a predator-prey model for exploited fish populations with schooling behavior
In this paper, a predator-prey model for exploited fish populations is considered, where the prey and the predator both show schooling behavior. Due to this coordinated behavior, predator-prey interaction occurs only at the outer edge of the schools formed by the populations. Positivity and boundedn...
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| Published in: | Applied mathematics and computation Vol. 317; pp. 35 - 48 |
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| Format: | Journal Article |
| Language: | English |
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| Abstract | In this paper, a predator-prey model for exploited fish populations is considered, where the prey and the predator both show schooling behavior. Due to this coordinated behavior, predator-prey interaction occurs only at the outer edge of the schools formed by the populations. Positivity and boundedness of the model are discussed. Analysis of the equilibria is presented. A criterion for Hopf bifurcation is obtained. The optimal harvest policy is also discussed using Pontryagin’s maximum principle, where the effort is used as the control parameter. Numerical simulations are carried out to validate our analytical findings. Implications of our analytical and numerical findings are discussed critically. |
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| AbstractList | In this paper, a predator-prey model for exploited fish populations is considered, where the prey and the predator both show schooling behavior. Due to this coordinated behavior, predator-prey interaction occurs only at the outer edge of the schools formed by the populations. Positivity and boundedness of the model are discussed. Analysis of the equilibria is presented. A criterion for Hopf bifurcation is obtained. The optimal harvest policy is also discussed using Pontryagin’s maximum principle, where the effort is used as the control parameter. Numerical simulations are carried out to validate our analytical findings. Implications of our analytical and numerical findings are discussed critically. |
| Author | Maiti, Alakes Manna, Debasis Samanta, G.P. |
| Author_xml | – sequence: 1 givenname: Debasis surname: Manna fullname: Manna, Debasis email: debasismanna451@yahoo.in organization: Department of Mathematics, Surendranath Evening College, Kolkata 700009, India – sequence: 2 givenname: Alakes surname: Maiti fullname: Maiti, Alakes email: alakesh_maity@hotmail.com organization: Department of Mathematics, Vidyasagar Evening College, Kolkata 700006, India – sequence: 3 givenname: G.P. surname: Samanta fullname: Samanta, G.P. email: g_p_samanta@yahoo.co.uk, gpsamanta@math.iiests.ac.in, gpsamanta@math.becs.ac.in organization: Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, India |
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| Cites_doi | 10.1016/j.nonrwa.2011.02.002 10.1155/2014/568943 10.1016/j.pocean.2010.04.015 10.2989/18142320309504009 10.1007/BF00292770 10.15388/NA.2016.3.4 10.1080/21642583.2016.1241194 10.1016/j.nonrwa.2011.12.014 10.1016/S0165-7836(98)00135-0 10.1051/mmnp/201712208 10.1080/00207390802136610 10.1007/s40435-017-0321-y 10.1006/jmsc.2002.1282 10.1016/0025-5564(74)90043-1 10.1111/j.1439-0485.2009.00328.x 10.1051/alr/2012031 10.1016/j.jtbi.2008.03.008 10.1006/tpbi.1999.1414 10.1007/BF02936194 |
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| Keywords | Stability Schooling Hopf bifurcation Fishing effort Predator-prey model |
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| References | Lotka (bib0022) 1925 Pontryagin, Boltyanskii, Gamkrelidze (bib0031) 1962 Maiti, Sen, Manna, Samanta (bib0024) 2016; 16 Bera, Maiti, Samanta (bib0006) 2016; 2 Ajraldi, Pittavino, Venturino (bib0001) 2011; 12 Brown, Churnside, Collins, Veenstra, Wilson, Abnett (bib0010) 2002; 59 C. Xu, S. Yuan, Stability and hopf bifurcation in a delayed predator-prey system with herd behavior, Abstr. Appl. Anal., 2014, 2014. 1–8. Brattey (bib0008) 1997; 29 Bera, Maiti, Samanta (bib0005) 2015; 11 Samanta, Manna, Maiti (bib0032) 2003; 12 Boustany, Matteson, Castleton, Farwell, Block (bib0007) 2010; 86 Maiti, Patra, Samanta (bib0023) 2008; 39 Maiti, Sen, Samanta (bib0025) 2016; 4 D’Elia, Patti, Sulli, Tranchida, Bonanno, Basilone, Giacalone, I., Genovese, Guisande, Mazzola (bib0016) 2009; 30 Mitsunaga, Endo, Babaran (bib0029) 2013; 26 Flaaten (bib0017) 1998; 37 Goh, Leitmann, Vincent (bib0019) 1974; 19 Braza (bib0009) 2012; 13 Chattopadhyay, Chatterjee, Venturino (bib0011) 2008; 253 Volterra (bib0034) 1926; 2 . Leitmann (bib0021) 1966 Marzano (bib0027) 2013 Clark (bib0013) 1990 Partridge, Pitcher, Cullen, Wilson (bib0030) 1980; 6 Verhulst (bib0033) 1838; 10 Misund, Coetzee, Freon, Gardener, Olsen, Svellingen, Hampton (bib0028) 2003; 25 Clark (bib0012) 1985 Cosner, DeAngelis, Ault, Olson (bib0015) 1999; 56 Manna, Maiti, Samanta (bib0026) 2017 Banerjee, Kooi, Venturino (bib0004) 2017; 12 Maiti (10.1016/j.amc.2017.08.052_bib0025) 2016; 4 Mitsunaga (10.1016/j.amc.2017.08.052_bib0029) 2013; 26 Maiti (10.1016/j.amc.2017.08.052_bib0024) 2016; 16 Flaaten (10.1016/j.amc.2017.08.052_bib0017) 1998; 37 Lotka (10.1016/j.amc.2017.08.052_bib0022) 1925 Ajraldi (10.1016/j.amc.2017.08.052_bib0001) 2011; 12 D’Elia (10.1016/j.amc.2017.08.052_bib0016) 2009; 30 Samanta (10.1016/j.amc.2017.08.052_bib0032) 2003; 12 Brattey (10.1016/j.amc.2017.08.052_bib0008) 1997; 29 Braza (10.1016/j.amc.2017.08.052_bib0009) 2012; 13 Volterra (10.1016/j.amc.2017.08.052_bib0034) 1926; 2 Chattopadhyay (10.1016/j.amc.2017.08.052_bib0011) 2008; 253 Maiti (10.1016/j.amc.2017.08.052_bib0023) 2008; 39 Goh (10.1016/j.amc.2017.08.052_bib0019) 1974; 19 Verhulst (10.1016/j.amc.2017.08.052_bib0033) 1838; 10 10.1016/j.amc.2017.08.052_bib0035 Boustany (10.1016/j.amc.2017.08.052_bib0007) 2010; 86 Clark (10.1016/j.amc.2017.08.052_bib0012) 1985 Bera (10.1016/j.amc.2017.08.052_bib0006) 2016; 2 Clark (10.1016/j.amc.2017.08.052_bib0013) 1990 Bera (10.1016/j.amc.2017.08.052_bib0005) 2015; 11 Leitmann (10.1016/j.amc.2017.08.052_bib0021) 1966 Partridge (10.1016/j.amc.2017.08.052_bib0030) 1980; 6 Misund (10.1016/j.amc.2017.08.052_bib0028) 2003; 25 Brown (10.1016/j.amc.2017.08.052_bib0010) 2002; 59 Marzano (10.1016/j.amc.2017.08.052_bib0027) 2013 Manna (10.1016/j.amc.2017.08.052_bib0026) 2017 Pontryagin (10.1016/j.amc.2017.08.052_bib0031) 1962 Banerjee (10.1016/j.amc.2017.08.052_bib0004) 2017; 12 Cosner (10.1016/j.amc.2017.08.052_bib0015) 1999; 56 |
| References_xml | – volume: 59 start-page: 1120 year: 2002 end-page: 1130 ident: bib0010 article-title: Remote sensing of capelin and other biological features in the north pacific using lidar and video technology publication-title: ICES J. Mar. Sci. contributor: fullname: Abnett – volume: 12 start-page: 133 year: 2017 end-page: 161 ident: bib0004 article-title: An ecoepidemic model with prey herd behavior and predator feeding saturation response on both healthy and diseased prey publication-title: Math. Model. Nat. Phenom. contributor: fullname: Venturino – volume: 16 start-page: 86 year: 2016 end-page: 101 ident: bib0024 article-title: A predator-prey system with herd behaviour and strong allee effect publication-title: Nonlinear Dyn. Syst. Theory contributor: fullname: Samanta – year: 1985 ident: bib0012 article-title: Bioeconomic Modelling and Fisheries Management contributor: fullname: Clark – year: 1925 ident: bib0022 article-title: Elements of Physical Biology contributor: fullname: Lotka – volume: 26 start-page: 79 year: 2013 end-page: 84 ident: bib0029 article-title: Schooling behavior of juvenile yellowfin tuna thunnus albacares around a fish aggregating device (FAD) in the philippines publication-title: Aquat. Living Resour. contributor: fullname: Babaran – volume: 37 start-page: 179 year: 1998 end-page: 191 ident: bib0017 article-title: On the bioeconomics of predator and prey fishing publication-title: Fish. Res. contributor: fullname: Flaaten – volume: 11 start-page: 3 year: 2015 end-page: 14 ident: bib0005 article-title: Modelling herd behavior of prey: analysis of a prey-predator model publication-title: World J. Model. Simul. contributor: fullname: Samanta – year: 1966 ident: bib0021 article-title: An Introduction to Optimal Control contributor: fullname: Leitmann – volume: 2 start-page: 345 year: 2016 end-page: 361 ident: bib0006 article-title: Stochastic analysis of a prey-predator model with herd behaviour of prey publication-title: Nonlinear Anal. Model. Control contributor: fullname: Samanta – volume: 56 start-page: 65 year: 1999 end-page: 75 ident: bib0015 article-title: Effects of spatial grouping on the functional response of predators publication-title: Theor. Pop. Biol. contributor: fullname: Olson – year: 2013 ident: bib0027 article-title: Harvesting the Sea: The Exploitation of Marine Resources in the Roman Mediterranean contributor: fullname: Marzano – volume: 25 start-page: 185 year: 2003 end-page: 193 ident: bib0028 article-title: Schooling behaviour of sardine sardinops sagas in false bay, South Africa publication-title: S. Afr. J. Mar. Sci. contributor: fullname: Hampton – volume: 253 start-page: 289 year: 2008 end-page: 295 ident: bib0011 article-title: Patchy agglomeration as a transition from monospecies to recurrent plankton blooms publication-title: J. Theor. Biol. contributor: fullname: Venturino – year: 2017 ident: bib0026 article-title: Analysis of a harvested predator-prey system with schooling behaviour publication-title: Int. J. Dyn. Control contributor: fullname: Samanta – volume: 12 start-page: 2319 year: 2011 end-page: 2338 ident: bib0001 article-title: Modelling herd behavior in population systems publication-title: Nonlinear Anal. RWA contributor: fullname: Venturino – volume: 12 start-page: 219 year: 2003 end-page: 231 ident: bib0032 article-title: Bioeconomic modeling of a three-species fishery with switching effect publication-title: J. Appl. Math. Comput. contributor: fullname: Maiti – year: 1990 ident: bib0013 article-title: Mathematical Bioeconomic: The Optimal Mmanagement of Renewable Resources contributor: fullname: Clark – volume: 86 start-page: 94 year: 2010 end-page: 104 ident: bib0007 article-title: Movements of pacific bluefin tuna (thunnus orientalis) in the eastern north pacific revealed with archival tags publication-title: Prog. Oceanogr. contributor: fullname: Block – volume: 2 start-page: 31 year: 1926 end-page: 113 ident: bib0034 article-title: Variazioni e fluttuazioni del numero di individui in specie animali conviventi publication-title: Mem. Accd. Lincei. contributor: fullname: Volterra – volume: 13 start-page: 1837 year: 2012 end-page: 1843 ident: bib0009 article-title: Predator-prey dynamics with square root functional responses publication-title: Nonlinear Anal. RWA contributor: fullname: Braza – volume: 4 start-page: 259 year: 2016 end-page: 269 ident: bib0025 article-title: Deterministic and stochastic analysis of a prey-predator model with herd behaviour in both publication-title: Syst. Sci. Control Eng. contributor: fullname: Samanta – year: 1962 ident: bib0031 article-title: The Mathematical Theory of Optimal Processes contributor: fullname: Gamkrelidze – volume: 30 start-page: 151 year: 2009 end-page: 160 ident: bib0016 article-title: Distribution and spatial structure of pelagic fish schools in relation to the nature of the seabed in the sicily straits (central mediterranean) publication-title: Mar. Ecol. contributor: fullname: Mazzola – volume: 6 start-page: 277 year: 1980 end-page: 288 ident: bib0030 article-title: The three-dimensional structure of fish schools publication-title: Behav. Ecol. Sociobiol. contributor: fullname: Wilson – volume: 19 start-page: 263 year: 1974 end-page: 286 ident: bib0019 article-title: Optimal control of a prey–predator system publication-title: Math. Biosci. contributor: fullname: Vincent – volume: 39 start-page: 1061 year: 2008 end-page: 1076 ident: bib0023 article-title: Bionomic exploitation of a ratio-dependent predatorprey system publication-title: Int. J. Math. Ed. Sci. Tech. contributor: fullname: Samanta – volume: 10 start-page: 113 year: 1838 end-page: 121 ident: bib0033 article-title: Notice sur la loi que la population poursuit dans son accroissement publication-title: Corresp. Math. Phys. contributor: fullname: Verhulst – volume: 29 start-page: 31 year: 1997 end-page: 42 ident: bib0008 article-title: Biological characteristics of atlantic cod (gadus morhua) from three inshore areas of northeastern newfoundland publication-title: NAFO Sci. Coun. Stud. contributor: fullname: Brattey – volume: 12 start-page: 2319 year: 2011 ident: 10.1016/j.amc.2017.08.052_bib0001 article-title: Modelling herd behavior in population systems publication-title: Nonlinear Anal. RWA doi: 10.1016/j.nonrwa.2011.02.002 contributor: fullname: Ajraldi – year: 1925 ident: 10.1016/j.amc.2017.08.052_bib0022 contributor: fullname: Lotka – ident: 10.1016/j.amc.2017.08.052_bib0035 doi: 10.1155/2014/568943 – volume: 2 start-page: 31 year: 1926 ident: 10.1016/j.amc.2017.08.052_bib0034 article-title: Variazioni e fluttuazioni del numero di individui in specie animali conviventi publication-title: Mem. Accd. Lincei. contributor: fullname: Volterra – volume: 86 start-page: 94 year: 2010 ident: 10.1016/j.amc.2017.08.052_bib0007 article-title: Movements of pacific bluefin tuna (thunnus orientalis) in the eastern north pacific revealed with archival tags publication-title: Prog. Oceanogr. doi: 10.1016/j.pocean.2010.04.015 contributor: fullname: Boustany – volume: 25 start-page: 185 year: 2003 ident: 10.1016/j.amc.2017.08.052_bib0028 article-title: Schooling behaviour of sardine sardinops sagas in false bay, South Africa publication-title: S. Afr. J. Mar. Sci. doi: 10.2989/18142320309504009 contributor: fullname: Misund – volume: 6 start-page: 277 year: 1980 ident: 10.1016/j.amc.2017.08.052_bib0030 article-title: The three-dimensional structure of fish schools publication-title: Behav. Ecol. Sociobiol. doi: 10.1007/BF00292770 contributor: fullname: Partridge – volume: 10 start-page: 113 year: 1838 ident: 10.1016/j.amc.2017.08.052_bib0033 article-title: Notice sur la loi que la population poursuit dans son accroissement publication-title: Corresp. Math. Phys. contributor: fullname: Verhulst – year: 1962 ident: 10.1016/j.amc.2017.08.052_bib0031 contributor: fullname: Pontryagin – year: 2013 ident: 10.1016/j.amc.2017.08.052_bib0027 contributor: fullname: Marzano – year: 1990 ident: 10.1016/j.amc.2017.08.052_bib0013 contributor: fullname: Clark – volume: 2 start-page: 345 year: 2016 ident: 10.1016/j.amc.2017.08.052_bib0006 article-title: Stochastic analysis of a prey-predator model with herd behaviour of prey publication-title: Nonlinear Anal. Model. Control doi: 10.15388/NA.2016.3.4 contributor: fullname: Bera – volume: 4 start-page: 259 year: 2016 ident: 10.1016/j.amc.2017.08.052_bib0025 article-title: Deterministic and stochastic analysis of a prey-predator model with herd behaviour in both publication-title: Syst. Sci. Control Eng. doi: 10.1080/21642583.2016.1241194 contributor: fullname: Maiti – volume: 13 start-page: 1837 year: 2012 ident: 10.1016/j.amc.2017.08.052_bib0009 article-title: Predator-prey dynamics with square root functional responses publication-title: Nonlinear Anal. RWA doi: 10.1016/j.nonrwa.2011.12.014 contributor: fullname: Braza – volume: 29 start-page: 31 year: 1997 ident: 10.1016/j.amc.2017.08.052_bib0008 article-title: Biological characteristics of atlantic cod (gadus morhua) from three inshore areas of northeastern newfoundland publication-title: NAFO Sci. Coun. Stud. contributor: fullname: Brattey – volume: 37 start-page: 179 year: 1998 ident: 10.1016/j.amc.2017.08.052_bib0017 article-title: On the bioeconomics of predator and prey fishing publication-title: Fish. Res. doi: 10.1016/S0165-7836(98)00135-0 contributor: fullname: Flaaten – year: 1966 ident: 10.1016/j.amc.2017.08.052_bib0021 contributor: fullname: Leitmann – year: 1985 ident: 10.1016/j.amc.2017.08.052_bib0012 contributor: fullname: Clark – volume: 12 start-page: 133 year: 2017 ident: 10.1016/j.amc.2017.08.052_bib0004 article-title: An ecoepidemic model with prey herd behavior and predator feeding saturation response on both healthy and diseased prey publication-title: Math. Model. Nat. Phenom. doi: 10.1051/mmnp/201712208 contributor: fullname: Banerjee – volume: 39 start-page: 1061 year: 2008 ident: 10.1016/j.amc.2017.08.052_bib0023 article-title: Bionomic exploitation of a ratio-dependent predatorprey system publication-title: Int. J. Math. Ed. Sci. Tech. doi: 10.1080/00207390802136610 contributor: fullname: Maiti – year: 2017 ident: 10.1016/j.amc.2017.08.052_bib0026 article-title: Analysis of a harvested predator-prey system with schooling behaviour publication-title: Int. J. Dyn. Control doi: 10.1007/s40435-017-0321-y contributor: fullname: Manna – volume: 59 start-page: 1120 year: 2002 ident: 10.1016/j.amc.2017.08.052_bib0010 article-title: Remote sensing of capelin and other biological features in the north pacific using lidar and video technology publication-title: ICES J. Mar. Sci. doi: 10.1006/jmsc.2002.1282 contributor: fullname: Brown – volume: 19 start-page: 263 year: 1974 ident: 10.1016/j.amc.2017.08.052_bib0019 article-title: Optimal control of a prey–predator system publication-title: Math. Biosci. doi: 10.1016/0025-5564(74)90043-1 contributor: fullname: Goh – volume: 30 start-page: 151 year: 2009 ident: 10.1016/j.amc.2017.08.052_bib0016 article-title: Distribution and spatial structure of pelagic fish schools in relation to the nature of the seabed in the sicily straits (central mediterranean) publication-title: Mar. Ecol. doi: 10.1111/j.1439-0485.2009.00328.x contributor: fullname: D’Elia – volume: 26 start-page: 79 year: 2013 ident: 10.1016/j.amc.2017.08.052_bib0029 article-title: Schooling behavior of juvenile yellowfin tuna thunnus albacares around a fish aggregating device (FAD) in the philippines publication-title: Aquat. Living Resour. doi: 10.1051/alr/2012031 contributor: fullname: Mitsunaga – volume: 11 start-page: 3 year: 2015 ident: 10.1016/j.amc.2017.08.052_bib0005 article-title: Modelling herd behavior of prey: analysis of a prey-predator model publication-title: World J. Model. Simul. contributor: fullname: Bera – volume: 16 start-page: 86 year: 2016 ident: 10.1016/j.amc.2017.08.052_bib0024 article-title: A predator-prey system with herd behaviour and strong allee effect publication-title: Nonlinear Dyn. Syst. Theory contributor: fullname: Maiti – volume: 253 start-page: 289 year: 2008 ident: 10.1016/j.amc.2017.08.052_bib0011 article-title: Patchy agglomeration as a transition from monospecies to recurrent plankton blooms publication-title: J. Theor. Biol. doi: 10.1016/j.jtbi.2008.03.008 contributor: fullname: Chattopadhyay – volume: 56 start-page: 65 year: 1999 ident: 10.1016/j.amc.2017.08.052_bib0015 article-title: Effects of spatial grouping on the functional response of predators publication-title: Theor. Pop. Biol. doi: 10.1006/tpbi.1999.1414 contributor: fullname: Cosner – volume: 12 start-page: 219 year: 2003 ident: 10.1016/j.amc.2017.08.052_bib0032 article-title: Bioeconomic modeling of a three-species fishery with switching effect publication-title: J. Appl. Math. Comput. doi: 10.1007/BF02936194 contributor: fullname: Samanta |
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| SubjectTerms | Fishing effort Hopf bifurcation Predator-prey model Schooling Stability |
| Title | Analysis of a predator-prey model for exploited fish populations with schooling behavior |
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