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Discrete and Continuous Dynamical Systems - Series B (DCDS-B)
 

Extinction in discrete, competitive, multi-species patch models
Pages: 1583 - 1590, Issue 6, August 2015

doi:10.3934/dcdsb.2015.20.1583      Abstract        References        Full text (322.4K)           Related Articles

David M. Chan - Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, VA 23284, United States (email)
Matt McCombs - Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, VA 23284, United States (email)
Sarah Boegner - Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, VA 23284, United States (email)
Hye Jin Ban - Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, VA 23284, United States (email)
Suzanne L. Robertson - Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, VA 23284, United States (email)

1 M. Doebeli, Dispersal and dynamics, Theoretical Population Biology, 47 (1995), 82-106.
2 J. E. Franke and A. Yakubu, Mutual exclusion versus coexistence for discrete competitive systems, Journal of Mathematical Biology, 30 (1991), 161-168.       
3 J. E. Franke and A. Yakubu, Geometry of exclusion principles in discrete systems, Journal of Mathematical Analysis and Applications, 168 (1992), 385-400.       
4 J. E. Franke and A. Yakubu, Extinction and persistence of species in discrete competitive systems with a safe refuge, Journal of Mathematical Analysis and Applications, 203 (1996), 746-761.       
5 J. E. Franke and A. Yakubu, Diffusion between patches in multi-species discrete competitive systems, in Advances in Difference Equations (eds. S. Elaydi, G. Ladas, and I. Gyori), Gordon and Breach, Amsterdam, 1997, 205-212.       
6 A. Hastings, Can spatial variation alone lead to selection for dispersal?, Theoretical Population Biology, 24 (1983), 244-251.
7 A. Hastings, Complex interactions between dispersal and dynamics: Lessons from coupled logistic equations, Ecology, 74 (1993), 1362-1372.
8 A. Hastings and C. L. Wolin, Within-patch dynamics in a metapopulation, Ecology, 70 (1989), 1261-1266.
9 M. A. McPeek and R. D. Holt, The evolution of dispersal in spatially and temporally varying environments, American Naturalist, 140 (1992), 1010-1027.
10 S. J. Schreiber, Interactive effects of temporal correlations, spatial heterogeneity and dispersal on population persistence, Proceedings of the Royal Society B, 277 (2010), 1907-1914.
11 C. M. Taylor and A. Hastings, Allee effects in biological invasions, Ecology Letters, 8 (2005), 895-908.
12 J. Verboom, R. Foppen, P. Chardon, P. Opdam and P. Luttikhuizen, Introducing the key patch approach for habitat networks with persistent populations: An example for marshland birds, Biological Conservation, 100 (2001), 89-101.
13 A. Yakubu and C. Castillo-Chavez, Interplay between local dynamics and dispersal in discrete-time metapopulation models, Journal of Theoretical Biology, 218 (2002), 273-288.       

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