Chris Cosner

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All published works
Action Title Year Authors
+ Effects of dispersal rates in a two-stage reaction-diffusion system 2023 Robert Stephen Cantrell
Chris Cosner
Rachidi B. Salako
+ Linking mathematical models and trap data to infer the proliferation, abundance, and control of Aedes aegypti 2023 Jing Chen
Xi Huo
André Barretto Bruno Wilke
John C. Beier
Chalmers Vasquez
William D. Petrie
Robert Stephen Cantrell
Chris Cosner
Shigui Ruan
+ PDF Chat Ideal Free Dispersal under General Spatial Heterogeneity and Time Periodicity 2021 Robert Stephen Cantrell
Chris Cosner
King‐Yeung Lam
+ Persistence (Permanence), Compressivity, and Practical Persistence in Some Reaction–Diffusion Models from Ecology 2020 Chris Cosner
+ PDF Chat Persistence for a Two-Stage Reaction-Diffusion System 2020 Robert Stephen Cantrell
Chris Cosner
Salomé Martínez
+ PDF Chat Populations with individual variation in dispersal in heterogeneous environments: Dynamics and competition with simply diffusing populations 2020 Robert Stephen Cantrell
Chris Cosner
Xiao Yu
+ Populations with individual variation in dispersal in heterogeneous environments: dynamics and competition with simply diffusing populations 2020 Robert Stephen Cantrell
Chris Cosner
Xiao Yu
+ Habitat fragmentation promotes malaria persistence 2019 Daozhou Gao
P. van den Driessche
Chris Cosner
+ Modeling the importation and local transmission of vector-borne diseases in Florida: The case of Zika outbreak in 2016 2018 Jing Chen
John C. Beier
Robert Stephen Cantrell
Chris Cosner
Douglas O. Fuller
Yongtao Guan
Guoyan Zhang
Shigui Ruan
+ Two-patch model for the spread of West Nile virus 2018 Juping Zhang
Chris Cosner
Huaiping Zhu
+ PDF Chat Dynamics of populations with individual variation in dispersal on bounded domains 2018 Robert Stephen Cantrell
Chris Cosner
Xiao Yu
+ PDF Chat Evolution of natal dispersal in spatially heterogenous environments 2016 Robert Stephen Cantrell
Chris Cosner
Yuan Lou
Sebastian J. Schreiber
+ PDF Chat Evolution of Natal Dispersal in Spatially Heterogenous Environments 2016 Robert Stephen Cantrell
Chris Cosner
Yuan Lou
Sebastian J. Schreiber
+ Models for the effects of host movement in vector-borne disease systems 2015 Chris Cosner
+ Reaction-diffusion-advection models for the effects and evolution of dispersal 2013 Chris Cosner
+ Random dispersal versus fitness-dependent dispersal 2013 Robert Stephen Cantrell
Chris Cosner
Yuan Lou
Chao Xie
+ Evolutionary stability of ideal free dispersal strategies: A nonlocal dispersal model 2012 Robert Stephen Cantrell
Chris Cosner
Yuan Lou
Daniel P. Ryan
+ Global Bifurcation of Solutions for Crime Modeling Equations 2012 Robert Stephen Cantrell
Chris Cosner
RaĂșl ManĂĄsevich
+ PDF Chat Evolutionary stability of ideal free nonlocal dispersal 2011 Chris Cosner
Juan DĂĄvila
Salomé Martínez
+ PDF Chat Steady state solutions of a logistic equation with nonlinear boundary conditions 2011 Robert Stephen Cantrell
Chris Cosner
Salomé Martínez
+ PDF Chat Emergence and dynamics of influenza super-strains 2011 Brian J Coburn
Chris Cosner
Shigui Ruan
+ PDF Chat The effects of human movement on the persistence of vector-borne diseases 2009 Chris Cosner
John C. Beier
Robert Stephen Cantrell
Daniel Impoinvil
Lev Kapitanski
Matthew D. Potts
Adriana Troyo
Shigui Ruan
+ Global bifurcation of solutions to diffusive logistic equations on bounded domains subject to nonlinear boundary conditions 2009 Robert Stephen Cantrell
Chris Cosner
Salomé Martínez
+ On the effects of nonlinear boundary conditions in diffusive logistic equations on bounded domains 2006 Robert Stephen Cantrell
Chris Cosner
+ Movement toward better environments and the evolution of rapid diffusion 2006 Robert Stephen Cantrell
Chris Cosner
Yuan Lou
+ Beyond Permanence: More Persistence Theory 2004 Robert Stephen Cantrell
Chris Cosner
+ Does movement toward better environments always benefit a population? 2003 Chris Cosner
Yuan Lou
+ Conditional persistence in logistic models via nonlinear diffusion 2002 Robert Stephen Cantrell
Chris Cosner
+ PDF Chat Upper and Lower Solutions for a Homogeneous Dirichlet Problem with Nonlinear Diffusion and the Principle of Linearized Stability 2000 Robert Stephen Cantrell
Chris Cosner
+ Contributions of Alan C. Lazer to mathematical population dynamics 2000 Chris Cosner
+ On the effects of spatial heterogeneity on the persistence of interacting species 1998 Robert Stephen Cantrell
Chris Cosner
+ Models for Predator-Prey Systems at Multiple Scales 1996 Robert Stephen Cantrell
Chris Cosner
+ PDF Chat Book Review: Monotone dynamical systems: An introduction to the theory of competitive and cooperative systems 1996 Chris Cosner
+ Variability, vagueness and comparison methods for ecological models 1996 Chris Cosner
+ PDF Chat Ecological Models, Permanence and Spatial Heterogeneity 1996 Robert Stephen Cantrell
Chris Cosner
V. Hutson
+ Practical persistence in ecological models via comparison methods 1996 Robert Stephen Cantrell
Chris Cosner
+ Diffusive Logistic Equations with Indefinite Weights: Population Models in Disrupted Environments II 1991 Robert Stephen Cantrell
Chris Cosner
+ On the definition of ellipticity for systems of partial differential equations 1991 Chris Cosner
+ PDF Chat Some comparison principles for weakly coupled systems of elliptic equations 1991 Chris Cosner
Philip Schaefer
+ PDF Chat Principal eigenvalues for problems with indefinite weight function on 𝑅ⁿ 1990 K.J. Brown
Chris Cosner
Jacqueline Fleckinger
+ On eigenfunctions with sign definite components in weakly coupled linear elliptic systems 1989 Robert Stephen Cantrell
Chris Cosner
+ On the complex spectra of second order elliptic systems 1989 Chris Cosner
+ Sign-definite solutions in some linear elliptic systems 1989 Chris Cosner
Philip Schaefer
+ Diffusive logistic equations with indefinite weights: population models in disrupted environments 1989 Robert Stephen Cantrell
Chris Cosner
+ On the convex case in the positone problem for elliptic systems 1988 Robert Stephen Cantrell
Chris Cosner
+ Transport Equations with Second-Order Differential Collision Operators 1988 Chris Cosner
Suzanne Lenhart
V. Protopopescu
+ PDF Chat On the geometry of level sets of positive solutions of semilinear elliptic equations 1988 Chris Cosner
Klaus Schmitt
+ Bifurcation from higher eigenvalues in nonlinear elliptic equations: Continua that meet infinity 1988 Chris Cosner
+ A comparison principle for a class of fourth-order elliptic operators 1987 Chris Cosner
Philip Schaefer
+ PDF Chat On the Generalized Spectrum for Second-Order Elliptic Systems 1987 Robert Stephen Cantrell
Chris Cosner
+ Wave-Like Solutions to Reaction-Diffusion Equations on a Cylinder: Dependence on Cylinder Width 1987 Jonathan Bell
Chris Cosner
+ Existence of Global Solutions to a Model of a Myelinated Nerve Axon 1987 Chris Cosner
+ On the development of functionals which satisfy a maximum principle 1987 Chris Cosner
Philip Schaefer
+ PDF Chat On the generalized spectrum for second-order elliptic systems 1987 Robert Stephen Cantrell
Chris Cosner
+ PDF Chat A Priori Bounds for Positive Solutions of a Semilinear Elliptic Equation 1985 Chris Cosner
Klaus Schmitt
+ Bounds for the spectrum and the norm of solutions of nonlinear elliptic equations and systems 1985 Chris Cosner
Murray H. Protter
+ PDF Chat A priori bounds for positive solutions of a semilinear elliptic equation 1985 Chris Cosner
Klaus Schmitt
+ Some estimates of the norm of solutions of nonlinear elliptic eigenvalue problems 1984 Chris Cosner
+ PDF Chat Upper and lower solutions for systems of second order equations with nonnegative characteristic form and discontinuous nonlinearities 1984 Chris Cosner
Frank Schlinder
+ PDF Chat Threshold behavior and propagation for nonlinear differential-difference systems motivated by modeling myelinated axons 1984 Jonathan Bell
Chris Cosner
+ Pointwise Bounds for Strongly Coupled Time Dependent Systems of Reaction-Diffusion Equations 1984 Chris Cosner
+ PDF Chat Estimates for Eigenfunctions and Eigenvalues of Nonlinear Elliptic Problems 1984 Chris Cosner
+ PDF Chat Estimates for eigenfunctions and eigenvalues of nonlinear elliptic problems 1984 Chris Cosner
+ Positive solutions for superlinear elliptic systems without variational structure 1984 Chris Cosner
+ A Priori Estimates in Nonlinear Eigenvalue Problems for Elliptic Systems 1984 Chris Cosner
+ Threshold conditions for a diffusive model of a myelinated axon 1983 J. Bell
Chris Cosner
+ Uniqueness classes for pseudoparabolic equations with unbounded coefficients 1983 Chris Cosner
William Rundell
+ Solutions for a Flux-Dependent Diffusion Model 1982 Jonathan Bell
Chris Cosner
Willy Bertiger
+ PDF Chat A maximum principle for weakly coupled systems of second order partial differential equations with nonnegative characteristic form 1981 Chris Cosner
+ Asymptotic behavior of solutions of second order parabolic partial differential equations with unbounded coefficients 1980 Chris Cosner
+ Systems of second order equations with nonnegative characteristic form 1979 W. I. Bertiger
Chris Cosner
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Maximum Principles in Differential Equations 1984 Murray H. Protter
Hans F. Weinberger
14
+ On some linear and nonlinear eigenvalue problems with an indefinite weight function 1980 Peter Heß
Tosio Kato
11
+ PDF Chat Elliptic Partial Differential Equations of Second Order 2001 David Gilbarg
Neil S. Trudinger
11
+ The evolution of slow dispersal rates: a reaction diffusion model 1998 Jack D. Dockery
V. Hutson
Konstantin Mischaikow
Mark Pernarowski
10
+ On the Eigenvalue Problem for Coupled Elliptic Systems 1986 Robert Stephen Cantrell
Klaus Schmitt
9
+ Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces 1976 Herbert Amann
9
+ PDF Chat Partial Differential Equations 1988 Shiing-Shen Chern
9
+ Isoperimetric inequalities and applications 1980 Catherine Bandle
9
+ PDF Chat Elliptic Partial Differential Equations of Second Order 1977 David Gilbarg
Neil S. Trudinger
9
+ Diffusive logistic equations with indefinite weights: population models in disrupted environments 1989 Robert Stephen Cantrell
Chris Cosner
8
+ Second Order Equations With Nonnegative Characteristic Form 1973 O. A. OleÄ­nik
E. V. Radkevič
7
+ Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems 2008 Hal L. Smith
7
+ Reaction-diffusion-advection models for the effects and evolution of dispersal 2013 Chris Cosner
7
+ Diffusion and Ecological Problems: Mathematical Models 1980 Akira ƌkubo
7
+ PDF Chat The generalized spectrum of second order elliptic systems 1979 Murray H. Protter
7
+ Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission 2002 P. van den Driessche
James Watmough
7
+ Bifurcation from simple eigenvalues 1971 Michael G. Crandall
Paul H. Rabinowitz
7
+ On the existence of positive eigenfunctions for an eigenvalue problem with indefinite weight function 1980 K.J. Brown
S. S. Lin
6
+ PDF Chat Geometric Theory of Semilinear Parabolic Equations 1981 Daniel Henry
6
+ Diffusive Logistic Equations with Indefinite Weights: Population Models in Disrupted Environments II 1991 Robert Stephen Cantrell
Chris Cosner
6
+ PDF Chat Symmetry and related properties via the maximum principle 1979 Basilis Gidas
Wei‐Ming Ni
Louis Nirenberg
6
+ The evolution of dispersal rates in a heterogeneous time-periodic environment 2001 V. Hutson
Konstantin Mischaikow
Peter Poláčik
5
+ On several conjectures from evolution of dispersal 2011 Isabel Averill
Yuan Lou
Dan Munther
5
+ PDF Chat Resolvent positive linear operators exhibit the reduction phenomenon 2012 Lee Altenberg
5
+ Lower Bounds for the First Eigenvalue of Elliptic Equations 1960 Murray H. Protter
5
+ PDF Chat Competitive exclusion and coexistence for competitive systems on ordered Banach spaces 1996 Sheau Yu Hsu
Heather F. Smith
Paul Waltman
5
+ Some global results for nonlinear eigenvalue problems 1971 Paul H. Rabinowitz
5
+ PDF Chat On the spectrum of general second order operators 1966 Murray H. Protter
Hans F. Weinberger
5
+ Differential and Integral Inequalities 1970 Wolfgang Walter
4
+ Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II 1964 Shmuel Agmon
Avron Douglis
Louis Nirenberg
4
+ A priori bounds for positive solutions of nonlinear elliptic equations 1981 Basilis Gidas
Joel Spruck
4
+ Bifurcation, perturbation of simple eigenvalues, itand linearized stability 1973 Michael G. Crandall
Paul H. Rabinowitz
4
+ On the Existence of Positive Solutions of Semilinear Elliptic Equations 1982 Pierre‐Louis Lions
4
+ On the eigenvalue problem for weakly coupled elliptic systems 1983 P. Hess
4
+ Partial differential equations of parabolic type 1965 John S. Maybee
4
+ On the principal eigenvalue of a second order linear elliptic problem 1985 J. P. Gossez
E. Lami Dozo
4
+ Systems of Nonlinear Partial Differential Equations 1989 Anthony W. Leung
4
+ Asymptotic Behavior of the Principal Eigenvalue for Cooperative Elliptic Systems and Applications 2015 King‐Yeung Lam
Yuan Lou
4
+ PDF Chat The effects of human movement on the persistence of vector-borne diseases 2009 Chris Cosner
John C. Beier
Robert Stephen Cantrell
Daniel Impoinvil
Lev Kapitanski
Matthew D. Potts
Adriana Troyo
Shigui Ruan
4
+ Variational Methods for Eigenvalue Approximation 1974 Hans F. Weinberger
4
+ Bifurcation of steady-state solutions in predator-prey and competition systems 1984 Josep Blat
K. J. Brown
4
+ PDF Chat Dynamics of populations with individual variation in dispersal on bounded domains 2018 Robert Stephen Cantrell
Chris Cosner
Xiao Yu
4
+ PDF Chat Perturbation Theory for Linear Operators 1995 Tosio Kato
4
+ PDF Chat Differential and Integral Inequalities 2019 Dorin Andrica
Themistocles M. Rassias
4
+ On a system of reaction–diffusion equations describing a population with two age groups 2003 K.J. Brown
Yanping Zhang
4
+ PDF Chat A Multipatch Malaria Model with Logistic Growth Populations 2012 Daozhou Gao
Shigui Ruan
4
+ Un'estensione della teoria variazionale classica degli autovalori per operatori ellittici del secondo ordine 1973 Alessandra Manes
Micheletti Am
4
+ PDF Chat Dissipative periodic processes 1971 J. E. Billotti
J. P. LaSalle
3
+ Instability results for reaction diffusion equations with Neumann boundary conditions 1978 Richard G. Casten
Charles J. Holland
3
+ Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I 1959 Shmuel Agmon
Avron Douglis
Louis Nirenberg
3