Positive Steady States of a Strongly Coupled Predator‐Prey System with Holling‐(n + 1) Functional Response

Xiao-zhou Feng and Zhi-guo Wang

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: This paper discusses a predator‐prey system with Holling‐(n + 1) functional response and the fractional type nonlinear diffusion term in a bounded domain under homogeneous Neumann boundary condition. The existence and nonexistence results concerning nonconstant positive steady states of the system were obtained. In particular, we prove that the positive constant solution (u~,v~) is asymptotically stable when the parameter k satisfies some conditions.

Date: 2013
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https://doi.org/10.1155/2013/851028

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:851028

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