Robert S. Cantrell - Publications

Affiliations: 
Mathematics (Arts & Sciences) University of Miami, Coral Gables, FL 
Area:
Applied Mathematics, Ecology Biology

62 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
2022 Cantrell RS, Cosner C, Zhou Y. Ideal free dispersal in integrodifference models. Journal of Mathematical Biology. 85: 6. PMID 35796836 DOI: 10.1007/s00285-022-01743-1  0.317
2020 Beckman NG, Aslan CE, Rogers HS, Kogan O, Bronstein JL, Bullock JM, Hartig F, HilleRisLambers J, Zhou Y, Zurell D, Brodie JF, Bruna EM, Cantrell RS, Decker RR, Efiom E, et al. Advancing an interdisciplinary framework to study seed dispersal ecology. Aob Plants. 12: plz048. PMID 32346468 DOI: 10.1093/Aobpla/Plz048  0.387
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  0.405
2019 Rogers HS, Beckman NG, Hartig F, Johnson JS, Pufal G, Shea K, Zurell D, Bullock JM, Cantrell RS, Loiselle B, Pejchar L, Razafindratsima OH, Sandor ME, Schupp EW, Strickland WC, et al. The total dispersal kernel: a review and future directions. Aob Plants. 11: plz042. PMID 31579119 DOI: 10.1093/Aobpla/Plz042  0.403
2019 Johnson JS, Cantrell RS, Cosner C, Hartig F, Hastings A, Rogers HS, Schupp EW, Shea K, Teller BJ, Yu X, Zurell D, Pufal G. Rapid changes in seed dispersal traits may modify plant responses to global change. Aob Plants. 11: plz020. PMID 31198528 DOI: 10.1093/Aobpla/Plz020  0.321
2019 Aslan C, Beckman NG, Rogers HS, Bronstein J, Zurell D, Hartig F, Shea K, Pejchar L, Neubert M, Poulsen J, HilleRisLambers J, Miriti M, Loiselle B, Effiom E, Zambrano J, ... ... Cantrell RS, et al. Employing plant functional groups to advance seed dispersal ecology and conservation. Aob Plants. 11: plz006. PMID 30895154 DOI: 10.1093/Aobpla/Plz006  0.33
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  0.419
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  0.375
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  0.459
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  0.308
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  0.432
2017 Cantrell RS, Coomes B, Sha Y. A tridiagonal patch model of bacteria inhabiting a nanofabricated landscape. Mathematical Biosciences and Engineering : Mbe. 14: 953-973. PMID 28608705 DOI: 10.3934/Mbe.2017050  0.33
2017 Fagan WF, Gurarie E, Bewick S, Howard A, Cantrell RS, Cosner C. Perceptual Ranges, Information Gathering, and Foraging Success in Dynamic Landscapes. The American Naturalist. 189: 474-489. PMID 28410028 DOI: 10.1086/691099  0.311
2017 Cantrell RS, Cao X, Lam K, Xiang T. A PDE model of intraguild predation with cross-diffusion Discrete and Continuous Dynamical Systems-Series B. 22: 3653-3661. DOI: 10.3934/Dcdsb.2017145  0.414
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  0.42
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  0.466
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  0.303
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  0.305
2015 Ryan D, Cantrell RS. Avoidance behavior in intraguild predation communities: A cross-diffusion model Discrete and Continuous Dynamical Systems- Series A. 35: 1641-1663. DOI: 10.3934/Dcds.2015.35.1641  0.411
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  0.358
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  0.408
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  0.458
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  0.39
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  0.378
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  0.375
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  0.44
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  0.343
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  0.425
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  0.405
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  0.404
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  0.441
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  0.455
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  0.42
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  0.427
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  0.394
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  0.408
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  0.374
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  0.361
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  0.368
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  0.419
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  0.394
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  0.436
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  0.441
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  0.445
2001 Cantrell RS, Cosner C, Fagan WF. How predator incursions affect critical patch size: The role of the functional response American Naturalist. 158: 368-375. DOI: 10.1086/321989  0.4
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  0.404
2000 Cantrell RS, Cosner C. Upper and lower solutions for a homogeneous Dirichlet problem with nonlinear diffusion and the principle of linearized stability Rocky Mountain Journal of Mathematics. 30: 1229-1236. DOI: 10.1216/Rmjm/1021477348  0.3
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  0.423
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  0.313
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  0.436
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  0.411
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  0.449
1997 Cantrell RS, Ward JR. On competition-mediated coexistence Siam Journal On Applied Mathematics. 57: 1311-1327. DOI: 10.1137/S0036139995292367  0.346
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  0.43
1996 Cantrell RS, Cosner C, Hutson V. Ecological models, permanence and spatial heterogeneity Rocky Mountain Journal of Mathematics. 26: 1-35. DOI: 10.1216/Rmjm/1181072101  0.368
1996 Cantrell RS, Cosner C. Models for predator-prey systems at multiple scales Siam Review. 38: 256-286. DOI: 10.1137/1038041  0.413
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  0.452
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  0.457
1993 Cantrell RS, Cosner C, Hutson V. Permanence in ecological systems with spatial heterogeneity Proceedings of the Royal Society of Edinburgh: Section a Mathematics. 123: 533-559. DOI: 10.1017/S0308210500025877  0.449
1991 Cantrell RS, Cosner C. The effects of spatial heterogeneity in population dynamics Journal of Mathematical Biology. 29: 315-338. DOI: 10.1007/Bf00167155  0.443
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  0.389
1987 Cantrell RS. Global higher bifurcations in coupled systems of nonlinear eigenvalue problems Proceedings of the Royal Society of Edinburgh: Section a Mathematics. 106: 113-120. DOI: 10.1017/S0308210500018242  0.405
Show low-probability matches.