| 带有乘法Allee效应的捕食-食饵模型的共存解 |
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| 引用本文： | 李海侠. 带有乘法Allee效应的捕食-食饵模型的共存解[J]. 计算机工程与应用, 2015, 51(10): 16-19 |
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| 作者姓名： | 李海侠 |
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| 作者单位： | 宝鸡文理学院 数学系，陕西 宝鸡 721013 |
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| 基金项目： | 中央高校基本科研业务费专项资金资助(No.GK201302025)；陕西省教育厅专项科研计划资助项目(No.14JK1035)；宝鸡文理学院重点科研项目(No.ZK15039，ZK12042)。 |
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| 摘 要： | 讨论了一类带有乘法Allee效应的捕食-食饵扩散模型正解的存在性和稳定性。利用局部分歧理论研究了分歧正解的存在性，考察了分歧解的稳定性，运用全局分歧定理将局部分歧进行延拓从而得到了正解存在的充分条件。结果表明当参数满足一定条件时，两物种能共存而且共存解稳定。
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| 关 键 词： | 乘法Allee效应 分歧理论 稳定性 |
Coexistence solutions for predator-prey model with multiplicative Allee affect |
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| LI Haixia. Coexistence solutions for predator-prey model with multiplicative Allee affect[J]. Computer Engineering and Applications, 2015, 51(10): 16-19 |
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| Authors: | LI Haixia |
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| Affiliation: | Department of Mathematics, Baoji University of Arts and Sciences, Baoji, Shaanxi 721013, China |
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| Abstract: | The existence and stability of a predator-prey diffusive model with multiplicative Allee affect are discussed. The existence of bifurcating positive solutions is investigated by means of the local bifurcation theory. The stability of bifurcation solutions is determined. By using the global bifurcation theory, the local bifurcation is extended and the sufficiently conditions of the existence of positive solutions are obtained. The results indicate that the two species will coexist when the parameters satisfy certain conditions, furthermore the coexistence solutions are stable. |
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| Keywords: | multiplicative Allee affect bifurcation theory stability |
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