The linear and nonlinear diffusion of the competitive Lotka–Volterra model |
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| Authors: | Xin-an Zhang Lansun Chen |
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| Institution: | 1. Department of Mathematics, Central China Normal University, Wuhan, 430079, PR China;2. Institute of Mathematics, Academia Sinica, Beijing, 100080, PR China |
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| Abstract: | This paper has studied the effects of linear and nonlinear diffusion of the competitive Lotka–Volterra model, and has investigated how the linear and nonlinear diffusions lead from the extinction of one species to the persistence or global asymptotic stability of all species. This research has important implications in the design of nature reserves. |
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| Keywords: | 34C05 58F09 92D25 |
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