A strongly coupled predator-prey system with modified Holling-Tanner functional response

作者：Li Jianjun; Gao Wenjie^*

来源：Computers & Mathematics with Applications, 2010, 60(7): 1908-1916.

DOI：10.1016/j.camwa.2009.03.124

• Predator-prey model
• Cross-diffusion
• Functional response
• Non-constant positive steady solutions
• Leray-Schauder theorem

In this paper, a strongly coupled system of partial differential equations in a bounded domain with the homogeneous Neumann boundary condition which models a predator-prey system with modified Holling-Tanner functional response is considered. First, the authors study the stability of the positive constant solution. Sufficient conditions are derived for the global stability of the positive equilibrium by constructing a suitable Lyapunov function. By using the Leray-Schauder theorem, the authors prove a number of existence and non-existence results about the non-constant steady states of the system.

• 出版日期2010-10
• 单位吉林大学