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具有Holling-Ⅲ型反应项的捕食-食饵系统的分歧分析 被引量：5

Bifurcation analysis on a predator-prey system with Holling-Ⅲ functional response
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摘要 研究了一类具有Holling-Ⅲ型反应函数的捕食-食饵反应扩散系统.运用谱理论、分歧理论以及不动点指数理论,以捕食者的死亡率为参数讨论了系统发自唯一半平凡解处的分歧解的局部和全局存在性. A predator-prey reaction-diffusion system with Holling-Ⅲ functional response is studied. By the use of spectrum theory,bifurcation theory and fixed point index theory,taking the death rate of predator as a bifurcation parameter,we discuss the local and global existence of the bifurcation solution which bifurcates from the unique semi-trivial solution.
作者 李方方 贾云锋
机构地区 陕西师范大学数学与信息科学学院
出处 《云南大学学报（自然科学版）》 CAS CSCD 北大核心 2016年第1期11-17,共7页 Journal of Yunnan University(Natural Sciences Edition)
基金 国家自然科学基金(11271236) 中央高校基本科研业务费专项资金(GK201303008 GK201401004)
关键词 Holling-Ⅲ反应函数 捕食-食饵系统 分歧 不动点指数 Holling-Ⅲ functional response predator-prey system bifurcation fixed point index
分类号 O175.26 [理学—基础数学]
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参考文献14

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二级参考文献11

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二级引证文献8

云南大学学报（自然科学版）
2016年 第1期

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