| 一类具有附加食物的Leslic - Gower捕食者-食饵模型的定性分析 |
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| 引用本文： | 吴罗义.一类具有附加食物的Leslic - Gower捕食者-食饵模型的定性分析[J].延边大学理工学报,2022,0(2):118-122,137. |
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| 作者姓名： | 吴罗义 |
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| 作者单位： | (武夷学院 数学与计算机学院, 福建 武夷山 354300) |
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| 摘 要： | 研究了一类具有附加食物的Leslie - Gower捕食者-食饵模型平衡点的局部与全局渐进稳定性及其非双曲平衡点的分支行为,并利用数值模拟验证了所得结论的正确性.该研究结果可为应用额外食物进行生物防治提供参考.
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| 关 键 词： | 捕食者- 食饵模型 附加食物 稳定性 跨临界分支 |
Qualitative analysis of a Leslic - Gower type predator - prey model with additional food |
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| WU Luoyi.Qualitative analysis of a Leslic - Gower type predator - prey model with additional food[J].Journal of Yanbian University (Natural Science),2022,0(2):118-122,137. |
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| Authors: | WU Luoyi |
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| Affiliation: | (School of Mathematics and Computer, Wuyi University, Wuyishan 354300, China) |
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| Abstract: | The locally and globally asymptotic stability of equilibria and bifurcation behavior of non - hyperbolic equilibria are studiedin a class of Leslie - Gower type predator - prey model with additional food. The numerical simulation is given to show the validity of the obtained conditions.The results can provide a reference for the design of biological control methods to use additional food. |
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| Keywords: | predator - prey model additional food stability transcritical bifurcation |
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