Dynamical Analysis of a Plateau Pika with Cross-Diffusion under Contraception Control

Xiaoyan Wang, Junyuan Yang and Fengqin Zhang

Discrete Dynamics in Nature and Society, 2014, vol. 2014, 1-10

Abstract:

A plateau pika model with spatial cross-diffusion is investigated. By analyzing the corresponding characteristic equations, the local stability of an coexistence steady state is discussed when is small enough. However, when is large enough, the model shows Turing bifurcation if . Furthermore, it is proved that if, and cross-diffusion rates are zero, the positive coexistence steady state is globally asymptotically stable. A nonconstant positive solution bifurcates from the coexistent steady state by the Leray-Schauder degree theory. Numerical simulations are carried out to illustrate the main results.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:402194

DOI: 10.1155/2014/402194

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