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Papers by Chris Cosner

Research paper thumbnail of What’s in a resource gradient? Comparing alternative cues for foraging in dynamic environments via movement, perception, and memory

Theoretical Ecology, Aug 23, 2022

Research paper thumbnail of Effects of domain size on the persistence of populations in a diffusive food-chain model with Beddington-DeAngelis functional response

ABSTRACT. A food chain consisting of species at three trophic levels is modeled using Beddington‐... more ABSTRACT. A food chain consisting of species at three trophic levels is modeled using Beddington‐DeAngelis functional responses as the links between trophic levels. The dispersal of the species is modeled by diffusion, so the resulting model is a three component reaction‐diffusion system. The behavior of the system is described in terms of predictions of extinction or persistence of the species. Persistence is characterized via permanence, i.e., uniform persistence plus dissi‐pativity. The way that the predictions of extinction or persistence depend on domain size is studied by examining how they vary as the size (but not the shape) of the underlying spatial domain is changed.

Research paper thumbnail of Evolutionary stability of ideal free dispersal under spatial heterogeneity and time periodicity

Mathematical biosciences, Nov 1, 2018

Research paper thumbnail of Persistence for a Two-Stage Reaction-Diffusion System

Mathematics, Mar 11, 2020

Research paper thumbnail of Effects of dispersal rates in a two-stage reaction-diffusion system

Journal of Mathematical Biology, Feb 3, 2023

Research paper thumbnail of The Effect of Directed Movement on the Strong Allee Effect

Siam Journal on Applied Mathematics, 2021

It is well known that movement strategies in ecology and in economics can make the difference bet... more It is well known that movement strategies in ecology and in economics can make the difference between extinction and persistence. We present a unifying model for the dynamics of ecological populati...

Research paper thumbnail of Improved foraging by switching between diffusion and advection: benefits from movement that depends on spatial context

Theoretical Ecology, Jun 15, 2019

Research paper thumbnail of Habitat fragmentation promotes malaria persistence

Journal of Mathematical Biology, Sep 13, 2019

Research paper thumbnail of Modeling and control of local outbreaks of West Nile virus in the United States

Discrete and Continuous Dynamical Systems-series B, Sep 1, 2016

Research paper thumbnail of Interspecific interactions and range limits: contrasts among interaction types

Theoretical Ecology, Nov 29, 2016

Research paper thumbnail of How Resource Phenology Affects Consumer Population Dynamics

The American Naturalist, Feb 1, 2016

Research paper thumbnail of On the Allee effect and directed movement on the whole space

Mathematical Biosciences and Engineering, 2023

It is well known that relocation strategies in ecology can make the difference between extinction... more It is well known that relocation strategies in ecology can make the difference between extinction and persistence. We consider a reaction-advection-diffusion framework to analyze movement strategies in the context of species which are subject to a strong Allee effect. The movement strategies we consider are a combination of random Brownian motion and directed movement through the use of an environmental signal. We prove that a population can overcome the strong Allee effect when the signals are super-harmonic. In other words, an initially small population can survive in the long term if they aggregate sufficiently fast. A sharp result is provided for a specific signal that can be related to the Fokker-Planck equation for the Orstein-Uhlenbeck process. We also explore the case of pure diffusion and pure aggregation and discuss their benefits and drawbacks, making the case for a suitable combination of the two as a better strategy.

Research paper thumbnail of Linking mathematical models and trap data to infer the proliferation, abundance, and control of Aedes aegypti

Acta Tropica, Mar 1, 2023

Research paper thumbnail of Evolutionarily stable movement strategies in reaction–diffusion models with edge behavior

Journal of Mathematical Biology, Feb 19, 2019

Research paper thumbnail of Evolution of dispersal in spatial population models with multiple timescales

Journal of Mathematical Biology, Nov 3, 2018

Research paper thumbnail of Diffusive Logistic Equations with Indefinite Weights: Population Models in Disrupted Environments II

Siam Journal on Mathematical Analysis, Jul 1, 1991

The dynamics of a population inhabiting a strongly heterogeneous environment are modeled by diffu... more The dynamics of a population inhabiting a strongly heterogeneous environment are modeled by diffusive logistic equations of the form u_1=nablacdot(d(x,u)+nablau)−bfb(x)cdotnablau+m(x)u−cu2u_1 = \nabla \cdot (d(x,u) + \nabla u) - {\bf b}(x) \cdot \nabla u + m(x)u - cu^2 u_1=nablacdot(d(x,u)+nablau)−bfb(x)cdotnablau+m(x)u−cu2 in Omegatimes(0,infty)\Omega \times (0,\infty )Omegatimes(0,infty), where uuu represents the ...

Research paper thumbnail of Ideal free dispersal in integrodifference models

Journal of Mathematical Biology, Jul 1, 2022

Research paper thumbnail of Spatial Ecology via Reaction-Diffusion Equations

... ED1TOR-IN-CH1EF Simon Levin, Princeton University, USA Spatial Ecology via Reaction-Diffusion... more ... ED1TOR-IN-CH1EF Simon Levin, Princeton University, USA Spatial Ecology via Reaction-Diffusion Equations Robert Stephen Cantrell and ... of Ecology and Evolutionary Biology, Princeton University, USA Associate Editors Zvia Agur, Tel-Aviv University, Israel Odo Diekmann. ...

Research paper thumbnail of What’s in a resource gradient ? Comparing alternative cues for foraging in dynamic environments via movement, perception, and memory

Research Square (Research Square), Feb 18, 2022

Research paper thumbnail of Populations with individual variation in dispersal in heterogeneous environments: dynamics and competition with simply diffusing populations

arXiv (Cornell University), Jan 10, 2020

Research paper thumbnail of What’s in a resource gradient? Comparing alternative cues for foraging in dynamic environments via movement, perception, and memory

Theoretical Ecology, Aug 23, 2022

Research paper thumbnail of Effects of domain size on the persistence of populations in a diffusive food-chain model with Beddington-DeAngelis functional response

ABSTRACT. A food chain consisting of species at three trophic levels is modeled using Beddington‐... more ABSTRACT. A food chain consisting of species at three trophic levels is modeled using Beddington‐DeAngelis functional responses as the links between trophic levels. The dispersal of the species is modeled by diffusion, so the resulting model is a three component reaction‐diffusion system. The behavior of the system is described in terms of predictions of extinction or persistence of the species. Persistence is characterized via permanence, i.e., uniform persistence plus dissi‐pativity. The way that the predictions of extinction or persistence depend on domain size is studied by examining how they vary as the size (but not the shape) of the underlying spatial domain is changed.

Research paper thumbnail of Evolutionary stability of ideal free dispersal under spatial heterogeneity and time periodicity

Mathematical biosciences, Nov 1, 2018

Research paper thumbnail of Persistence for a Two-Stage Reaction-Diffusion System

Mathematics, Mar 11, 2020

Research paper thumbnail of Effects of dispersal rates in a two-stage reaction-diffusion system

Journal of Mathematical Biology, Feb 3, 2023

Research paper thumbnail of The Effect of Directed Movement on the Strong Allee Effect

Siam Journal on Applied Mathematics, 2021

It is well known that movement strategies in ecology and in economics can make the difference bet... more It is well known that movement strategies in ecology and in economics can make the difference between extinction and persistence. We present a unifying model for the dynamics of ecological populati...

Research paper thumbnail of Improved foraging by switching between diffusion and advection: benefits from movement that depends on spatial context

Theoretical Ecology, Jun 15, 2019

Research paper thumbnail of Habitat fragmentation promotes malaria persistence

Journal of Mathematical Biology, Sep 13, 2019

Research paper thumbnail of Modeling and control of local outbreaks of West Nile virus in the United States

Discrete and Continuous Dynamical Systems-series B, Sep 1, 2016

Research paper thumbnail of Interspecific interactions and range limits: contrasts among interaction types

Theoretical Ecology, Nov 29, 2016

Research paper thumbnail of How Resource Phenology Affects Consumer Population Dynamics

The American Naturalist, Feb 1, 2016

Research paper thumbnail of On the Allee effect and directed movement on the whole space

Mathematical Biosciences and Engineering, 2023

It is well known that relocation strategies in ecology can make the difference between extinction... more It is well known that relocation strategies in ecology can make the difference between extinction and persistence. We consider a reaction-advection-diffusion framework to analyze movement strategies in the context of species which are subject to a strong Allee effect. The movement strategies we consider are a combination of random Brownian motion and directed movement through the use of an environmental signal. We prove that a population can overcome the strong Allee effect when the signals are super-harmonic. In other words, an initially small population can survive in the long term if they aggregate sufficiently fast. A sharp result is provided for a specific signal that can be related to the Fokker-Planck equation for the Orstein-Uhlenbeck process. We also explore the case of pure diffusion and pure aggregation and discuss their benefits and drawbacks, making the case for a suitable combination of the two as a better strategy.

Research paper thumbnail of Linking mathematical models and trap data to infer the proliferation, abundance, and control of Aedes aegypti

Acta Tropica, Mar 1, 2023

Research paper thumbnail of Evolutionarily stable movement strategies in reaction–diffusion models with edge behavior

Journal of Mathematical Biology, Feb 19, 2019

Research paper thumbnail of Evolution of dispersal in spatial population models with multiple timescales

Journal of Mathematical Biology, Nov 3, 2018

Research paper thumbnail of Diffusive Logistic Equations with Indefinite Weights: Population Models in Disrupted Environments II

Siam Journal on Mathematical Analysis, Jul 1, 1991

The dynamics of a population inhabiting a strongly heterogeneous environment are modeled by diffu... more The dynamics of a population inhabiting a strongly heterogeneous environment are modeled by diffusive logistic equations of the form u_1=nablacdot(d(x,u)+nablau)−bfb(x)cdotnablau+m(x)u−cu2u_1 = \nabla \cdot (d(x,u) + \nabla u) - {\bf b}(x) \cdot \nabla u + m(x)u - cu^2 u_1=nablacdot(d(x,u)+nablau)−bfb(x)cdotnablau+m(x)u−cu2 in Omegatimes(0,infty)\Omega \times (0,\infty )Omegatimes(0,infty), where uuu represents the ...

Research paper thumbnail of Ideal free dispersal in integrodifference models

Journal of Mathematical Biology, Jul 1, 2022

Research paper thumbnail of Spatial Ecology via Reaction-Diffusion Equations

... ED1TOR-IN-CH1EF Simon Levin, Princeton University, USA Spatial Ecology via Reaction-Diffusion... more ... ED1TOR-IN-CH1EF Simon Levin, Princeton University, USA Spatial Ecology via Reaction-Diffusion Equations Robert Stephen Cantrell and ... of Ecology and Evolutionary Biology, Princeton University, USA Associate Editors Zvia Agur, Tel-Aviv University, Israel Odo Diekmann. ...

Research paper thumbnail of What’s in a resource gradient ? Comparing alternative cues for foraging in dynamic environments via movement, perception, and memory

Research Square (Research Square), Feb 18, 2022

Research paper thumbnail of Populations with individual variation in dispersal in heterogeneous environments: dynamics and competition with simply diffusing populations

arXiv (Cornell University), Jan 10, 2020

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