Positive solutions of a diffusive Leslie–Gower predator–prey model with Bazykin functional response
Positive solutions of a diffusive Leslie–Gower predator–prey model with Bazykin functional response
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DOI：
10.1007/s00033-013-0315-3
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发表时间：
2014-02
期刊：
影响因子：
--
通讯作者：
Jun Zhou
中科院分区：
文献类型：
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作者：
Jun Zhou
本文考虑一类具有Bazykin功能反应和零Dirichlet边界条件的Leslie-Gower捕食-食饵扩散模型.当参数在不同的区域时，我们证明了正解的存在性、多重性和唯一性。利用分歧理论、不动点指数理论、能量估计和渐近性态分析证明了结果。
In this paper, we consider a diffusive Leslie–Gower predator–prey model with Bazykin functional response and zero Dirichlet boundary condition. We show the existence, multiplicity and uniqueness of positive solutions when parameters are in different regions. Results are proved by using bifurcation theory, fixed point index theory, energy estimate and asymptotical behavior analysis.