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R. S. Cantrell · SciRah

Researcher profile · Semantic Scholar

R. S. Cantrell

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R. S. Cantrell — researcher profile on SciRah

h-index: 34
Works: 112
Citations: 6,510

Most-cited papers

Spatial Ecology via Reaction-Diffusion Equations: Cantrell/Diffusion
R. S. Cantrell, C. Cosner
20031,678 citations
Semantic Scholar
How Habitat Edges Change Species Interactions
W. Fagan, R. S. Cantrell, C. Cosner
1999American Naturalist669 citations
Semantic Scholar
On the Dynamics of Predator–Prey Models with the Beddington–DeAngelis Functional Response☆
R. S. Cantrell, C. Cosner
2001365 citations Open access
Semantic Scholar
The Effects of Human Movement on the Persistence of Vector-Borne Diseases
C. Cosner, J. Beier, R. S. Cantrell, D. Impoinvil +4 more
2009Journal of Theoretical Biology256 citations Open access
Semantic Scholar
Movement toward better environments and the evolution of rapid diffusion.
R. S. Cantrell, C. Cosner, Y. Lou
2006Mathematical Biosciences161 citations
Semantic Scholar
Advection-mediated coexistence of competing species
R. S. Cantrell, C. Cosner, Y. Lou
2007Proceedings of the Royal Society of Edinburgh. Section A Mathematics147 citations
Semantic Scholar
Evolution of dispersal and the ideal free distribution.
R. S. Cantrell, C. Cosner, Y. Lou
2010Mathematical biosciences and engineering : MBE145 citations Open access
Semantic Scholar
Permanence in ecological systems with spatial heterogeneity
R. S. Cantrell, Chris Cosners, V. Hutson
1993Proceedings of the Royal Society of Edinburgh. Section A Mathematics126 citations
Semantic Scholar
Diffusion models for population dynamics incorporating individual behavior at boundaries: applications to refuge design.
R. S. Cantrell, C. Cosner
1999Theoretical Population Biology123 citations Open access
Semantic Scholar
On the effects of spatial heterogeneity on the persistence of interacting species
R. S. Cantrell, C. Cosner
1998121 citations
Semantic Scholar
Perceptual Ranges, Information Gathering, and Foraging Success in Dynamic Landscapes
W. Fagan, E. Gurarie, S. Bewick, Allison Howard +2 more
2017American Naturalist112 citations
Semantic Scholar
Approximating the ideal free distribution via reaction–diffusion–advection equations
R. S. Cantrell, C. Cosner, Y. Lou
2008100 citations Open access
Semantic Scholar
Evolutionary stability of ideal free dispersal strategies in patchy environments
R. S. Cantrell, C. Cosner, Y. Lou
2012Journal of Mathematical Biology91 citations
Semantic Scholar
The total dispersal kernel: a review and future directions
Haldre S. Rogers, N. Beckman, Florian Hartig, Jeremy S. Johnson +12 more
2019AoB Plants90 citations Open access
Semantic Scholar
Ecological models, permanence and spatial heterogeneity
R. S. Cantrell, C. Cosner, V. Hutson
199684 citations Open access
Semantic Scholar
Intraspecific interference and consumer-resource dynamics
R. S. Cantrell, C. Cosner, S. Ruan
200471 citations Open access
Semantic Scholar
Competitive reversals inside ecological reserves: the role of external habitat degradation
R. S. Cantrell, C. Cosner, W. Fagan
1998Journal of Mathematical Biology66 citations
Semantic Scholar
Global Bifurcation of Solutions for Crime Modeling Equations
R. S. Cantrell, C. Cosner, R. Manásevich
2012SIAM Journal on Mathematical Analysis64 citations
Semantic Scholar
Employing plant functional groups to advance seed dispersal ecology and conservation
Clare E. Aslan, N. Beckman, Haldre S. Rogers, Judie Bronstein +29 more
2019AoB Plants57 citations Open access
Semantic Scholar
Should a Park Be an Island?
R. S. Cantrell, C. Cosner
1993SIAM Journal on Applied Mathematics56 citations
Semantic Scholar
How Predator Incursions Affect Critical Patch Size: The Role of the Functional Response*
R. S. Cantrell, C. Cosner, W. Fagan
2001American Naturalist55 citations
Semantic Scholar
Density Dependent Behavior at Habitat Boundaries and the Allee Effect
R. S. Cantrell, C. Cosner
2007Bulletin of Mathematical Biology47 citations
Semantic Scholar
Practical persistence in ecological models via comparison methods
R. S. Cantrell, C. Cosner
1996Proceedings of the Royal Society of Edinburgh: Section A Mathematics47 citations
Semantic Scholar
How Resource Phenology Affects Consumer Population Dynamics
S. Bewick, R. S. Cantrell, C. Cosner, W. Fagan
2016American Naturalist45 citations
Semantic Scholar
On the effects of nonlinear boundary conditions in diffusive logistic equations on bounded domains
R. S. Cantrell, C. Cosner
200645 citations Open access
Semantic Scholar
Modeling the Spatial Spread of Rift Valley Fever in Egypt
D. Gao, C. Cosner, R. S. Cantrell, J. Beier +1 more
2013Bulletin of Mathematical Biology40 citations Open access
Semantic Scholar
Modelling the Effects of Seasonality and Socioeconomic Impact on the Transmission of Rift Valley Fever Virus
Yan-Yu Xiao, J. Beier, R. S. Cantrell, C. Cosner +2 more
2015PLoS Neglected Tropical Diseases38 citations Open access
Semantic Scholar
Leadership, social learning, and the maintenance (or collapse) of migratory populations
W. Fagan, R. S. Cantrell, C. Cosner, T. Mueller +1 more
2012Theoretical Ecology37 citations
Semantic Scholar
Spatial heterogeneity and critical patch size: Area effects via diffusion in closed environments.
R. S. Cantrell, C. Cosner
2001Journal of Theoretical Biology37 citations
Semantic Scholar
Modeling and control of local outbreaks of West Nile virus in the United States
Jing Chen, Jicai Huang, J. Beier, R. S. Cantrell +4 more
201635 citations Open access
Semantic Scholar
Evolutionary stability of ideal free dispersal strategies: A nonlocal dispersal model
R. S. Cantrell, C. Cosner, Y. Lou, Daniel Ryan
201234 citations
Semantic Scholar
A Modeling Approach to Investigate Epizootic Outbreaks and Enzootic Maintenance of Rift Valley Fever Virus
F. Chamchod, R. S. Cantrell, C. Cosner, A. Hassan +2 more
2014Bulletin of Mathematical Biology33 citations Open access
Semantic Scholar
Habitat edges and predator-prey interactions: effects on critical patch size.
R. S. Cantrell, C. Cosner, W. Fagan
2002Mathematical Biosciences30 citations
Semantic Scholar
Rapid changes in seed dispersal traits may modify plant responses to global change
Jeremy S. Johnson, R. S. Cantrell, C. Cosner, Florian Hartig +8 more
2019AoB Plants29 citations Open access
Semantic Scholar
Evolutionary stability of ideal free dispersal under spatial heterogeneity and time periodicity.
R. S. Cantrell, C. Cosner
2018Mathematical Biosciences29 citations Open access
Semantic Scholar
Avoidance behavior in intraguild predation communities: A cross-diffusion model
Daniel Ryan, R. S. Cantrell
201429 citations Open access
Semantic Scholar
Random dispersal versus fitness-dependent dispersal
R. S. Cantrell, C. Cosner, Y. Lou, Chao Xie
201329 citations Open access
Semantic Scholar
Dynamics of populations with individual variation in dispersal on bounded domains
R. S. Cantrell, C. Cosner, Xiao Yu
2018Journal of Biological Dynamics27 citations Open access
Semantic Scholar
Evolution of dispersal in spatial population models with multiple timescales
R. S. Cantrell, C. Cosner, M. Lewis, Y. Lou
2018Journal of Mathematical Biology27 citations
Semantic Scholar
Evolution of Natal Dispersal in Spatially Heterogenous Environments
R. S. Cantrell, C. Cosner, Y. Lou, S. Schreiber
2016bioRxiv27 citations Open access
Semantic Scholar
Multiple Reversals of Competitive Dominance in Ecological Reserves via External Habitat Degradation
R. S. Cantrell, C. Cosner, Y. Lou
200426 citations
Semantic Scholar
Persistence for a Two-Stage Reaction-Diffusion System
R. S. Cantrell, C. Cosner, Salomé Martínez
2020Mathematics25 citations Open access
Semantic Scholar
Brucellosis, botflies, and brainworms: the impact of edge habitats on pathogen transmission and species extinction
R. S. Cantrell, C. Cosner, William F. Faganantrell
2001Journal of Mathematical Biology25 citations
Semantic Scholar
Improved foraging by switching between diffusion and advection: benefits from movement that depends on spatial context
W. Fagan, T. Hoffman, Daisy Dahiya, E. Gurarie +2 more
2019Theoretical Ecology24 citations
Semantic Scholar
Interspecific Variation in Critical Patch Size and Gap‐Crossing Ability as Determinants of Geographic Range Size Distributions
W. Fagan, R. S. Cantrell, C. Cosner, S. Ramakrishnan
2009American Naturalist24 citations
Semantic Scholar
Insular Biogeographic Theory and Diffusion Models in Population Dynamics
R. S. Cantrell, C. Cosner
199424 citations Open access
Semantic Scholar
Conditional persistence in logistic models via nonlinear diffusion
R. S. Cantrell, C. Cosner
2002Proceedings of the Royal Society of Edinburgh: Section A Mathematics23 citations
Semantic Scholar
Models for Predator-Prey Systems at Multiple Scales
R. S. Cantrell, C. Cosner
1996SIAM Review22 citations
Semantic Scholar
Ideal Free Dispersal under General Spatial Heterogeneity and Time Periodicity
R. S. Cantrell, C. Cosner, King-Yeung Lam
2020SIAM Journal on Applied Mathematics21 citations Open access
Semantic Scholar
Global bifurcation of solutions to diffusive logistic equations on bounded domains subject to nonlinear boundary conditions
R. S. Cantrell, C. Cosner, Salomé Martínez
2009Proceedings of the Royal Society of Edinburgh: Section A Mathematics21 citations
Semantic Scholar

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