| 具有非线性收获的Leslie-Gower捕食者-食饵扩散模型的Hopf分支分析 |
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| 引用本文： | 鲁引儿,徐菲,张丽娜.具有非线性收获的Leslie-Gower捕食者-食饵扩散模型的Hopf分支分析[J].高校应用数学学报(A辑),2019,34(1):101-106. |
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| 作者姓名： | 鲁引儿 徐菲 张丽娜 |
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| 作者单位： | 西北师范大学 数学与统计学院,甘肃兰州,730070;西北师范大学 数学与统计学院,甘肃兰州,730070;西北师范大学 数学与统计学院,甘肃兰州,730070 |
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| 摘 要： | 研究一类具有非线性收获和扩散的Leslie-Gower捕食者-食饵模型.通过对常微分系统和反应扩散系统产生Hopf分支条件的讨论,分析收获和扩散在系统产生Hopf分支中的作用.
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| 关 键 词： | Leslie-Gower捕食者-食饵模型 非线性收获 扩散 HOPF分支 |
Hopf bifurcation analysis on a diffusion Leslie-Gower predator-prey model with nonlinear harvesting |
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| LU Yin-er,XU Fei,ZHANG Li-na.Hopf bifurcation analysis on a diffusion Leslie-Gower predator-prey model with nonlinear harvesting[J].Applied Mathematics A Journal of Chinese Universities,2019,34(1):101-106. |
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| Authors: | LU Yin-er XU Fei ZHANG Li-na |
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| Institution: | (College of Mathematics and statistics, Northwest Normal University, Lanzhou, 730070, China) |
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| Abstract: | In this paper, a Leslie-Gower predator-prey model with diffusion and nonlinear harvesting is considered. Through the discussion about the conditions of Hopf bifurcation for ODE system and PDE system, the effects of harvesting and diffusion on the occurrence of Hopf bifurcation are investigated. |
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| Keywords: | Leslie-Gower predator-prey model nonlinear harvesting diffusion Hopf bifurcation |
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