Chris Cosner - Publications

Affiliations: 
University of Miami, Coral Gables, FL 
Area:
Mathematics, Epidemiology

76 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Cantrell RS, Cosner C, Yu X. Populations with individual variation in dispersal in heterogeneous environments: Dynamics and competition with simply diffusing populations Science China Mathematics. 63: 441-464. DOI: 10.1007/S11425-019-1623-2  0.372
2019 Gao D, van den Driessche P, Cosner C. Habitat fragmentation promotes malaria persistence. Journal of Mathematical Biology. PMID 31520106 DOI: 10.1007/S00285-019-01428-2  0.308
2019 Maciel G, Cosner C, Cantrell RS, Lutscher F. Evolutionarily stable movement strategies in reaction-diffusion models with edge behavior. Journal of Mathematical Biology. PMID 30783745 DOI: 10.1007/S00285-019-01339-2  0.38
2019 Fagan WF, Hoffman T, Dahiya D, Gurarie E, Cantrell RS, Cosner C. Improved foraging by switching between diffusion and advection: benefits from movement that depends on spatial context Theoretical Ecology. 13: 127-136. DOI: 10.1007/S12080-019-00434-W  0.336
2018 Cantrell RS, Cosner C, Lewis MA, Lou Y. Evolution of dispersal in spatial population models with multiple timescales. Journal of Mathematical Biology. PMID 30392106 DOI: 10.1007/S00285-018-1302-2  0.427
2018 StephenCantrell R, Cosner C. Evolutionary stability of ideal free dispersal under spatial heterogeneity and time periodicity. Mathematical Biosciences. PMID 30193955 DOI: 10.1016/J.Mbs.2018.09.002  0.405
2018 Chen J, Beier JC, Cantrell RS, Cosner C, Fuller DO, Guan Y, Zhang G, Ruan S. Modeling the Importation and Local Transmission of Vector-Borne Diseases in Florida: The Case of Zika Outbreak in 2016. Journal of Theoretical Biology. PMID 30053386 DOI: 10.1016/J.Jtbi.2018.07.026  0.314
2018 Cantrell RS, Cosner C, Yu X. Dynamics of populations with individual variation in dispersal on bounded domains. Journal of Biological Dynamics. 12: 288-317. PMID 29527959 DOI: 10.1080/17513758.2018.1445305  0.403
2018 Zhang J, Cosner C, Zhu H. Two-patch model for the spread of West Nile virus. Bulletin of Mathematical Biology. PMID 29492829 DOI: 10.1007/S11538-018-0404-8  0.327
2017 Cantrell RS, Cosner C, Lam K. Resident-invader dynamics in infinite dimensional systems Journal of Differential Equations. 263: 4565-4616. DOI: 10.1016/J.Jde.2017.05.029  0.389
2016 Cantrell RS, Cosner C, Lou Y, Schreiber SJ. Evolution of natal dispersal in spatially heterogenous environments. Mathematical Biosciences. PMID 27840280 DOI: 10.1016/J.Mbs.2016.11.003  0.402
2016 Bewick S, Cantrell RS, Cosner C, Fagan WF. How Resource Phenology Affects Consumer Population Dynamics. The American Naturalist. 187: 151-66. PMID 26807744 DOI: 10.1086/684432  0.36
2016 Chen J, Huang J, Beier JC, Cantrell RS, Cosner C, Fuller DO, Zhang G, Ruan S. Modeling and control of local outbreaks of west nile virus in the United States Discrete and Continuous Dynamical Systems - Series B. 21: 2423-2449. DOI: 10.3934/Dcdsb.2016054  0.318
2016 Godsoe W, Holland NJ, Cosner C, Kendall BE, Brett A, Jankowski J, Holt RD. Interspecific interactions and range limits: contrasts among interaction types Theoretical Ecology. 10: 167-179. DOI: 10.1007/S12080-016-0319-7  0.305
2015 Xiao Y, Beier JC, Cantrell RS, Cosner C, DeAngelis DL, Ruan S. Modelling the effects of seasonality and socioeconomic impact on the transmission of rift valley Fever virus. Plos Neglected Tropical Diseases. 9: e3388. PMID 25569474 DOI: 10.1371/Journal.Pntd.0003388  0.317
2015 Cosner C, Nevai AL. Spatial population dynamics in a producer-scrounger model Discrete and Continuous Dynamical Systems - Series B. 20: 1591-1607. DOI: 10.3934/Dcdsb.2015.20.1591  0.396
2014 Cosner C, Winkler M. Well-posedness and qualitative properties of a dynamical model for the ideal free distribution Journal of Mathematical Biology. 69: 1343-1382. PMID 24170293 DOI: 10.1007/S00285-013-0733-Z  0.416
2014 Cosner C. Reaction-diffusion-advection models for the effects and evolution of dispersal Discrete and Continuous Dynamical Systems- Series A. 34: 1701-1745. DOI: 10.3934/Dcds.2014.34.1701  0.357
2014 Lynch HJ, Rhainds M, Calabrese JM, Cantrell S, Cosner C, Fagan WF. How climate extremesnot meansdefine a species' geographic range boundary via a demographic tipping point Ecological Monographs. 84: 131-149. DOI: 10.1890/12-2235.1  0.369
2014 Cosner C. Challenges in modeling biological invasions and population distributions in a changing climate Ecological Complexity. 20: 258-263. DOI: 10.1016/J.Ecocom.2014.05.007  0.305
2014 Fagan WF, Bewick S, Cantrell S, Cosner C, Varassin IG, Inouye DW. Phenologically explicit models for studying plant-pollinator interactions under climate change Theoretical Ecology. 7: 289-297. DOI: 10.1007/S12080-014-0218-8  0.358
2013 Gao D, Cosner C, Cantrell RS, Beier JC, Ruan S. Modeling the spatial spread of Rift Valley fever in Egypt. Bulletin of Mathematical Biology. 75: 523-42. PMID 23377629 DOI: 10.1007/S11538-013-9818-5  0.349
2013 Cantrell RS, Cosner C, Lou Y, Xie C. Random dispersal versus fitness-dependent dispersal Journal of Differential Equations. 254: 2905-2941. DOI: 10.1016/J.Jde.2013.01.012  0.352
2012 Cosner C, Dávila J, Martínez S. Evolutionary stability of ideal free nonlocal dispersal. Journal of Biological Dynamics. 6: 395-405. PMID 22873597 DOI: 10.1080/17513758.2011.588341  0.367
2012 Cantrell RS, Cosner C, Fagan WF. The implications of model formulation when transitioning from spatial to landscape ecology Mathematical Biosciences and Engineering. 9: 27-60. PMID 22229395 DOI: 10.3934/Mbe.2012.9.27  0.396
2012 Cantrell RS, Cosner C, Lou Y. Evolutionary stability of ideal free dispersal strategies in patchy environments Journal of Mathematical Biology. 65: 943-965. PMID 22048260 DOI: 10.1007/S00285-011-0486-5  0.335
2012 Cantrell RS, Cosner C, Manásevich R. Global bifurcation of solutions for crime modeling equations Siam Journal On Mathematical Analysis. 44: 1340-1358. DOI: 10.1137/110843356  0.359
2012 Fagan WF, Cantrell RS, Cosner C, Mueller T, Noble AE. Leadership, social learning, and the maintenance (or collapse) of migratory populations Theoretical Ecology. 5: 253-264. DOI: 10.1007/S12080-011-0124-2  0.347
2011 Coburn BJ, Cosner C, Ruan S. Emergence and dynamics of influenza super-strains. Bmc Public Health. 11: S6. PMID 21356135 DOI: 10.1186/1471-2458-11-S1-S6  0.697
2011 Coburn BJ, Cosner C, Ruan S. Emergence and dynamics of influenza super-strains Bmc Public Health. 11. DOI: 10.1186/1471-2458-11-S1-S6  0.687
2010 Cantrell RS, Cosner C, Lou Y. Evolution of dispersal and the ideal free distribution Mathematical Biosciences and Engineering. 7: 17-36. PMID 20104946 DOI: 10.3934/Mbe.2010.7.17  0.378
2010 Fagan WF, Cosner C, Larsen EA, Calabrese JM. Reproductive asynchrony in spatial population models: how mating behavior can modulate allee effects arising from isolation in both space and time. The American Naturalist. 175: 362-73. PMID 20100104 DOI: 10.1086/650373  0.338
2010 DeAngelis DL, Trexler JC, Cosner C, Obaza A, Jopp F. Fish population dynamics in a seasonally varying wetland Ecological Modelling. 221: 1131-1137. DOI: 10.1016/J.Ecolmodel.2009.12.021  0.364
2009 Cosner C, Beier JC, Cantrell RS, Impoinvil D, Kapitanski L, Potts MD, Troyo A, Ruan S. The effects of human movement on the persistence of vector-borne diseases. Journal of Theoretical Biology. 258: 550-60. PMID 19265711 DOI: 10.1016/J.Jtbi.2009.02.016  0.34
2009 Fagan WF, Cantrell RS, Cosner C, Ramakrishnan S. Interspecific variation in critical patch size and gap-crossing ability as determinants of geographic range size distributions. The American Naturalist. 173: 363-75. PMID 19159262 DOI: 10.1086/596537  0.372
2009 Cantrell RS, Cosner C, Martnez S. Global bifurcation of solutions to diffusive logistic equations on bounded domains subject to nonlinear boundary conditions Proceedings of the Royal Society of Edinburgh Section a: Mathematics. 139: 45-56. DOI: 10.1017/S0308210507000807  0.38
2008 Magal C, Cosner C, Ruan S, Casas J. Control of invasive hosts by generalist parasitoids Mathematical Medicine and Biology. 25: 1-20. PMID 18445582 DOI: 10.1093/Imammb/Dqm011  0.382
2008 CANTRELL RS, COSNER C. EFFECTS OF DOMAIN SIZE ON THE PERSISTENCE OF POPULATIONS IN A DIFFUSIVE FOOD-CHAIN MODEL WITH BEDDINGTON-DeANGELIS FUNCTIONAL RESPONSE Natural Resource Modeling. 14: 335-367. DOI: 10.1111/J.1939-7445.2001.Tb00062.X  0.355
2008 Cantrell RS, Cosner C, Lou Y. Approximating the ideal free distribution via reaction-diffusion-advection equations Journal of Differential Equations. 245: 3687-3703. DOI: 10.1016/J.Jde.2008.07.024  0.408
2007 Cantrell RS, Cosner C, DeAngelis DL, Padron V. The ideal free distribution as an evolutionarily stable strategy. Journal of Biological Dynamics. 1: 249-271. PMID 22876794 DOI: 10.1080/17513750701450227  0.405
2007 Cantrell RS, Cosner C. Density dependent behavior at habitat boundaries and the allee effect Bulletin of Mathematical Biology. 69: 2339-2360. PMID 17557188 DOI: 10.1007/S11538-007-9222-0  0.376
2007 Cantrell RS, Cosner C, Lou Y. Advection-mediated coexistence of competing species Proceedings of the Royal Society of Edinburgh Section a: Mathematics. 137: 497-518. DOI: 10.1017/S0308210506000047  0.364
2006 Cantrell RS, Cosner C, Lou Y. Movement toward better environments and the evolution of rapid diffusion Mathematical Biosciences. 204: 199-214. PMID 17070869 DOI: 10.1016/J.Mbs.2006.09.003  0.354
2006 Cantrell RS, Cosner C. On the effects of nonlinear boundary conditions in diffusive logistic equations on bounded domains Journal of Differential Equations. 231: 768-804. DOI: 10.1016/J.Jde.2006.08.018  0.379
2005 Cantrell RS, Cosner C, Fagan WF. Edge-linked dynamics and the scale-dependence of competitive dominance. Mathematical Biosciences and Engineering : Mbe. 2: 833-68. PMID 20369955 DOI: 10.3934/Mbe.2005.2.833  0.332
2005 Cosner C. A dynamic model for the ideal-free distribution as a partial differential equation Theoretical Population Biology. 67: 101-108. PMID 15713323 DOI: 10.1016/J.Tpb.2004.09.002  0.427
2004 Cantrell RS, Cosner C. Deriving reaction-diffusion models in ecology from interacting particle systems Journal of Mathematical Biology. 48: 187-217. PMID 14745510 DOI: 10.1007/S00285-003-0229-3  0.34
2004 Cantrell RS, Cosner C, Ruan S. Intraspecific interference and consumer-resource dynamics Discrete and Continuous Dynamical Systems - Series B. 4: 527-546. DOI: 10.3934/Dcdsb.2004.4.527  0.325
2004 Cantrell RS, Cosner C, Lou Y. Multiple Reversals of Competitive Dominance in Ecological Reserves via External Habitat Degradation Journal of Dynamics and Differential Equations. 16: 973-1010. DOI: 10.1007/S10884-004-7831-Y  0.366
2003 Cosner C, Lou Y. Does movement toward better environments always benefit a population? Journal of Mathematical Analysis and Applications. 277: 489-503. DOI: 10.1016/S0022-247X(02)00575-9  0.342
2002 Kshatriya M, Cosner C. A Continuum Formulation of the Ideal Free Distribution and Its Implications for Population Dynamics Theoretical Population Biology. 61: 277-284. PMID 12027614 DOI: 10.1006/Tpbi.2002.1573  0.361
2002 Cantrell RS, Cosner C, Fagan WF. Habitat edges and predator-prey interactions: Effects on critical patch size Mathematical Biosciences. 175: 31-55. PMID 11779626 DOI: 10.1016/S0025-5564(01)00086-4  0.34
2002 Cantrell RS, Cosner C. Conditional persistence in logistic models via nonlinear diffusion Royal Society of Edinburgh - Proceedings A. 132: 267-281. DOI: 10.1017/S0308210500001621  0.399
2001 Cantrell RS, Cosner C. Spatial heterogeneity and critical patch size: Area effects via diffusion in closed environments Journal of Theoretical Biology. 209: 161-171. PMID 11401458 DOI: 10.1006/Jtbi.2000.2246  0.397
2001 Cantrell RS, Cosner C, Fagan WF. Brucellosis, botflies, and brainworms: The impact of edge habitats on pathogen transmission and species extinction Journal of Mathematical Biology. 42: 95-119. PMID 11261318 DOI: 10.1007/S002850000064  0.391
2001 Kshatriya M, Cosner C, Van Jaarsveld AS. Early detection of declining populations using floor and ceiling models Journal of Animal Ecology. 70: 906-914. DOI: 10.1046/J.0021-8790.2001.00544.X  0.352
2001 Cantrell RS, Cosner C. On the Dynamics of Predator-Prey Models with the Beddington-DeAngelis Functional Response Journal of Mathematical Analysis and Applications. 257: 206-222. DOI: 10.1006/Jmaa.2000.7343  0.379
1999 Fagan WF, Cantrell RS, Cosner C. How Habitat Edges Change Species Interactions. The American Naturalist. 153: 165-182. PMID 29578760 DOI: 10.1086/303162  0.371
1999 Cantrell RS, Cosner C. A comparison of foraging strategies in a patchy environment Mathematical Biosciences. 160: 25-46. PMID 10465930 DOI: 10.1016/S0025-5564(99)00027-9  0.348
1999 Cosner C, DeAngelis DL, Ault JS, Olson DB. Effects of spatial grouping on the functional response of predators. Theoretical Population Biology. 56: 65-75. PMID 10438669 DOI: 10.1006/Tpbi.1999.1414  0.305
1999 Cantrell RS, Cosner C. Diffusion models for population dynamics incorporating individual behavior at boundaries: Applications to refuge design Theoretical Population Biology. 55: 189-207. PMID 10329518 DOI: 10.1006/Tpbi.1998.1397  0.397
1998 Cantrell RS, Cosner C, Fagan WF. Competitive reversals inside ecological reserves: The role of external habitat degradation Journal of Mathematical Biology. 37: 491-533. PMID 9894349 DOI: 10.1007/S002850050139  0.361
1998 Cantrell RS, Cosner C. On the effects of spatial heterogeneity on the persistence of interacting species Journal of Mathematical Biology. 37: 103-145. DOI: 10.1007/S002850050122  0.4
1996 Cantrell RS, Cosner C, Hutson V. Spatially explicit models for the population dynamics of a species colonizing an island Mathematical Biosciences. 136: 65-107. PMID 8755337 DOI: 10.1016/0025-5564(96)00050-8  0.394
1996 Cantrell RS, Cosner C. Practical persistence in ecological models via comparison methods Royal Society of Edinburgh - Proceedings A. 126: 247-272. DOI: 10.1017/S0308210500022721  0.41
1996 Cosner C. Variability, vagueness and comparison methods for ecological models Bulletin of Mathematical Biology. 58: 207-246. DOI: 10.1016/0092-8240(95)00314-2  0.39
1995 Ali SW, Cosner C. Models for the effects of individual size and spatial scale on competition between species in heterogeneous environments Mathematical Biosciences. 127: 45-76. PMID 7734857 DOI: 10.1016/0025-5564(94)00041-W  0.381
1994 Cantrell RS, Cosner C. Insular biogeographic theory and diffusion models in population dynamics Theoretical Population Biology. 45: 177-202. DOI: 10.1006/Tpbi.1994.1010  0.412
1992 Ali SW, Cosner C. On the uniqueness of the positive steady state for Lotka-Volterra models with diffusion Journal of Mathematical Analysis and Applications. 168: 329-341. DOI: 10.1016/0022-247X(92)90161-6  0.348
1991 Cantrell RS, Cosner C. The effects of spatial heterogeneity in population dynamics Journal of Mathematical Biology. 29: 315-338. DOI: 10.1007/Bf00167155  0.416
1989 Cantrell RS, Cosner C. Diffusive logistic equations with indefinite weights: Population models in disrupted environments Proceedings of the Royal Society of Edinburgh: Section a Mathematics. 112: 293-318. DOI: 10.1017/S030821050001876X  0.356
1987 Cosner C. Existence of Global Solutions to a Model of a Myelinated Nerve Axon Siam Journal On Mathematical Analysis. 18: 703-710. DOI: 10.1137/0518053  0.325
1987 Bell J, Cosner C. Wave-Like Solutions to Reaction-Diffusion Equations on a Cylinder: Dependence on Cylinder Width Siam Journal On Applied Mathematics. 47: 534-543. DOI: 10.1137/0147036  0.32
1984 Cosner C. Pointwise Bounds for Strongly Coupled Time Dependent Systems of Reaction-Diffusion Equations Siam Journal On Mathematical Analysis. 15: 350-356. DOI: 10.1137/0515027  0.325
1984 Cosner C, Lazer AC. Stable Coexistence States in the Volterra–Lotka Competition Model with Diffusion Siam Journal On Applied Mathematics. 44: 1112-1132. DOI: 10.1137/0144080  0.338
1982 Bell J, Cosner C, Bertiger W. Solutions for a Flux-Dependent Diffusion Model Siam Journal On Mathematical Analysis. 13: 758-769. DOI: 10.1137/0513052  0.338
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