The effect of density-dependent dispersal on the stability of populations |
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| Authors: | G Mulone S Rionero |
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| Institution: | a Dipartimento di Matematica e Informatica, Città Universitaria, Viale A. Doria, 6-95125 Catania, Italyb Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, via Cintia, 80126 Napoli, Italyc Key Laboratory of Eco-environments in Three Gorges Reservoir Region, School of Mathematics and Statistics, Southwest University, Chongqing, 400715, PR China |
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| Abstract: | The nonlinear stability of two populations diffusing in a common bounded domain with nonlinear density-dependent dispersal of a general type is studied, under Robin boundary conditions. The stability and instability of the positive equilibrium are studied by the linear eigenvalues method. The nonlinear stability is studied with the Lyapunov direct method. In a particular case, global stability has been obtained. |
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| Keywords: | Nonlinear diffusion Global stability Lyapunov direct method |
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