Global Behavior for a Diffusive Predator-Prey Model with Stage Structure and Nonlinear Density Restriction-I: The Case in Open image in new windowReportar como inadecuado




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Boundary Value Problems

, 2009:378763

First Online: 27 September 2009Received: 02 April 2009Accepted: 31 August 2009

Abstract

This paper deals with a Holling type III diffusive predator-prey model with stage structure and nonlinear density restriction in the space Open image in new window. We first consider the asymptotical stability of equilibrium points for the model of ODE type. Then, the existence and uniform boundedness of global solutions and stability of the equilibrium points for the model of weakly coupled reaction-diffusion type are discussed. Finally, the global existence and the convergence of solutions for the model of cross-diffusion type are investigated when the space dimension is less than 6.

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Autor: Rui Zhang - Ling Guo - Shengmao Fu

Fuente: https://link.springer.com/







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