| 具有Holling-Ⅲ型功能反应的捕食扩散系统的稳定性和Hopf分支 |
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| 引用本文： | 霍林杰,张存华.具有Holling-Ⅲ型功能反应的捕食扩散系统的稳定性和Hopf分支[J].山东大学学报(理学版),2023,58(1):16-24. |
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| 作者姓名： | 霍林杰 张存华 |
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| 作者单位： | 兰州交通大学数理学院, 甘肃 兰州 730070 |
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| 基金项目： | 国家自然科学基金资助项目(61763024) |
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| 摘 要： | 考虑了一类具有Holling-Ⅲ型功能反应函数的捕食者-食饵反应扩散系统。通过分析系统在正常数平衡解处线性化系统的特征值问题的根在复平面的分布情况,获得了系统正常数平衡解的稳定性和Hopf分支。
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| 关 键 词： | 捕食者-食饵反应扩散系统 正常数平衡解 稳定性 Hopf分支 |
Stability and Hopf bifurcation of diffusive predator-prey system with Holling-Ⅲ type functional response |
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| HUO Lin-jie,ZHANG Cun-hua.Stability and Hopf bifurcation of diffusive predator-prey system with Holling-Ⅲ type functional response[J].Journal of Shandong University,2023,58(1):16-24. |
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| Authors: | HUO Lin-jie ZHANG Cun-hua |
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| Institution: | School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China |
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| Abstract: | This paper considers a predator-prey reaction-diffusion system with Holling-Ⅲ type functional response function. By analyzing the distribution in the complex plane of the roots of the eigenvalue problem of the linearized system at the constant positive equilibrium solution, the stability and Hopf bifurcation of the constant positive equilibrium solution are analyzed. |
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| Keywords: | predator-prey reaction-diffusion system constant positive equilibrium solution stability Hopf bifurcation |
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