捕食者食饵均染病的入侵反应扩散捕食系统中扩散的作用

柳文清; 陈清婉

doi:10.21656/1000-0887.390100

捕食者食饵均染病的入侵反应扩散捕食系统中扩散的作用

doi: 10.21656/1000-0887.390100

福建师范大学闽南科技学院, 福建泉州 362300

基金项目: 国家自然科学基金（11662005）；江西省青年科学基金（2016BAB211001）

详细信息

作者简介:
柳文清(1984—)，男，硕士(通讯作者. E-mail: lwq84815@163.com).

中图分类号: O175.26
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- 被引次数: 0
出版历程
- 收稿日期: 2018-06-27
- 修回日期: 2018-10-16
- 刊出日期: 2019-03-01

Influence of Diffusion on an InvasionDiffusion Prey-Predator Model With Disease Infection in Both Populations

Minnan Science and Technology Institute, Fujian Normal University, Quanzhou, Fujian 362300, P.R.China

Funds: The National Natural Science Foundation of China（11662005）

摘要

摘要: 研究了捕食者食饵均染病的入侵反应扩散捕食系统.利用特征值方法和构造Lyapunov函数,获得了入侵扩散对正常数平衡解的影响, 当入侵扩散系数充分大时，导致平衡态失稳.进一步，利用拓扑度方法，证明了在一定条件下入侵扩散系数很大，自扩散充分小时，有非常数正平衡解存在.
- 入侵反应扩散 /
- 稳定性 /
- 正常数平衡解 /
- 非常数正平衡解
Abstract: An invasiondiffusion preypredator epidemic system with disease infection in both populations was studied. The influence of invasion diffusion on the equilibrium solutions of positive constants was obtained through analysis of the eigenvalue and construction of the Lyapunov function. Furthermore, with the topological method, it was proved that the coefficient of invasion diffusion will be big enough while the selfdiffusion coefficient is sufficiently small, then there exists a positive nonconstant equilibrium solution.
- invasion diffusion /
- stability /
- positive equilibrium solution /
- nonconstant positive equilibrium solution

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参考文献(16)

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