Search Results - "Ackleh, Azmy S."

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  1. 1

    Sensitivity equations for measure-valued solutions to transport equations by Ackleh, Azmy S, Saintier, Nicolas, Skrzeczkowski, Jakub

    “…We consider the following transport equation in the space of bounded, nonnegative Radon measures $\mathcal{M}^+(\mathbb{R}^d)$:$$ ∂_t\mu_t + ∂_x(v(x) \mu_t) =…”
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  2. 2

    Finite difference schemes for a structured population model in the space of measures by Ackleh, Azmy S, Lyons, Rainey, Saintier, Nicolas

    “…We present two finite-difference methods for approximating solutions to a structured population model in the space of non-negative Radon Measures. The first…”
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  3. 3

    The interplay between multiple control mechanisms in a host–parasitoid system: a discrete-time stage-structured modelling approach by Ackleh, Azmy S., Jahangir, Jenita, Veprauskas, Amy

    Published in Journal of biological dynamics (31-12-2023)
    “…We propose a discrete-time host–parasitoid model with stage structure in both species. For this model, we establish conditions for the existence and global…”
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  4. 4

    High resolution finite difference schemes for a size structured coagulation-fragmentation model in the space of radon measures by Ackleh, Azmy S, Lyons, Rainey, Saintier, Nicolas

    “…In this paper, we develop explicit and semi-implicit second-order high-resolution finite difference schemes for a structured coagulation-fragmentation model…”
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  5. 5

    Assessing critical population thresholds under periodic disturbances by Ackleh, Azmy S., Veprauskas, Amy, Banks, John, Stark, John

    Published in Ecosphere (Washington, D.C) (01-09-2023)
    “…Population responses to repeated environmental or anthropogenic disturbances depend on complicated interactions between the disturbance regime, population…”
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  6. 6

    A continuous-time mathematical model and discrete approximations for the aggregation of β-Amyloid by Ackleh, Azmy S., Elaydi, Saber, Livadiotis, George, Veprauskas, Amy

    Published in Journal of biological dynamics (01-01-2021)
    “…Alzheimer's disease is a degenerative disorder characterized by the loss of synapses and neurons from the brain, as well as the accumulation of amyloid-based…”
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  7. 7

    Special issue: Mathematical Modeling with Measures by Ackleh, Guest Editors Azmy S, Colombo, Rinaldo M, Goatin, Paola, Hille, Sander, Muntean, Adrian

    “…The special issue is available from: http://www.aimspress.com/newsinfo/1132.html…”
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  8. 8

    Competitive exclusion and coexistence in a two-strain pathogen model with diffusion by Ackleh, Azmy S, Deng, Keng, Wu, Yixiang

    “…We consider a two-strain pathogen model described by a system of reaction-diffusion equations. We define a basic reproduction number R0 and show that when the…”
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  9. 9

    Modeling the invasion and establishment of a tick-borne pathogen by Ackleh, Azmy S., Veprauskas, Amy

    Published in Ecological modelling (01-05-2022)
    “…We develop a discrete-time tick–host–pathogen model to describe the spread of a disease in a hard-bodied tick species. This model incorporates the…”
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  10. 10

    Finite difference schemes for a size structured coagulation-fragmentation model in the space of Radon measures by Ackleh, Azmy S, Lyons, Rainey, Saintier, Nicolas

    Published in IMA journal of numerical analysis (04-11-2023)
    “…Abstract We study a size-structured coagulation-fragmentation model formulated in the space of Radon measures. We reformulate this model as a mass conservation…”
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  11. 11

    Sublethal Effects in Pest Management: A Surrogate Species Perspective on Fruit Fly Control by Banks, John E, Vargas, Roger I, Ackleh, Azmy S, Stark, John D

    Published in Insects (Basel, Switzerland) (29-07-2017)
    “…Tephritid fruit flies are economically important orchard pests globally. While much effort has focused on controlling individual species with a combination of…”
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  12. 12

    Examining the influence of prey dynamics on predator-prey interactions by Ackleh, Azmy S., Hossain, Md Istiaq, Veprauskas, Amy

    “…We develop variations of a discrete-time predator-prey model to examine how intrinsic properties of the prey population may impact overall system dynamics. We…”
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  13. 13

    A nullcline approach to global stability in discrete-time predator-prey models by Ackleh, Azmy S., Salceanu, Paul, Veprauskas, Amy

    “…In this paper, we consider a two-dimensional discrete-time predator-prey model that was recently developed in Ackleh et al. [Persistence and stability analysis…”
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  14. 14

    Examining the effect of reoccurring disturbances on population persistence with application to marine mammals by Veprauskas, Amy, Ackleh, Azmy S., Tang, Tingting

    Published in Journal of theoretical biology (14-10-2018)
    “…•Developed a two-state Markov chain model to describe reoccurring disturbances.•Derived an approximation for the stochastic growth rate.•The growth rate is…”
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  15. 15

    Preface to '' Modeling with measures ' by Ackleh, Azmy S, Colombo, Rinaldo M, Hille, Sander C, Muntean, Adrian

    “…Different communities met in the research workshop ``Modeling with Measures" that took place at the Lorentz Center (Leiden, The Netherlands) during 26th--30th…”
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  16. 16

    Measuring and modeling the seasonal changes of an urban Green Treefrog ( Hyla cinerea) population by Ackleh, Azmy S., Carter, Jacoby, Cole, Lauren, Nguyen, Tom, Monte, Jay, Pettit, Claire

    Published in Ecological modelling (01-01-2010)
    “…Green Treefrogs ( Hyla cinerea) were captured, marked, measured and released at an urban study site in Lafayette, LA, during the 2004 and 2005 breeding…”
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  17. 17

    Persistence and stability analysis of discrete-time predator-prey models: a study of population and evolutionary dynamics by Ackleh, Azmy S., Hossain, Md Istiaq, Veprauskas, Amy, Zhang, Aijun

    “…Prolonged exposure to disturbances, such as toxicants, has the potential to result in evolutionary responses in a population. These evolutionary responses may…”
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  18. 18

    Long-term dynamics of discrete-time predator-prey models: stability of equilibria, cycles and chaos by Ackleh, Azmy S., Hossain, Md Istiaq, Veprauskas, Amy, Zhang, Aijun

    “…In [A.S. Ackleh, M.I. Hossain, A. Veprauskas, and A. Zhang, Persistence and stability analysis of discrete-time predator-prey models: A study of population and…”
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    Evolutionary game theory on measure spaces: Well-posedness by Cleveland, John, Ackleh, Azmy S.

    “…An attempt is made to find a comprehensive mathematical framework in which to investigate the problems of well-posedness and asymptotic analysis for fully…”
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