| Allee效应对Lotka-Volterra捕食-食饵模型的动力学行为影响 |
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| 引用本文： | 周起梅,林思佳,陈凤德,陈晓英.Allee效应对Lotka-Volterra捕食-食饵模型的动力学行为影响[J].福州大学学报(自然科学版),2022,50(6):723-728. |
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| 作者姓名： | 周起梅 林思佳 陈凤德 陈晓英 |
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| 作者单位： | 福州大学数学与统计学院,福州大学数学与统计学院 |
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| 基金项目： | 福建省自然科学基金资助项目 |
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| 摘 要： | 考虑一类食饵具有Allee效应的Lotka-Volterra捕食-食饵模型, 研究Allee效应对生物种群的影响. 探讨了系统平衡点的存在性及其稳定性, 利用数值模拟Allee常数m对种群动力学的影响. 研究表明:Allee效应会使捕食者在稳态下的种群密度增加, 系统达到稳态解所需要的时间与Allee效应有关.
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| 关 键 词： | Allee效应 捕食-食饵模型 稳态解 |
| 收稿时间： | 2021/10/17 0:00:00 |
| 修稿时间： | 2021/11/16 0:00:00 |
Influence of Allee effect on the dynamic behaviors of Lotka-Volterra predator-prey model |
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| ZHOU Qimei,LIN Siji,CHEN Fengde,CHEN Xiaoying.Influence of Allee effect on the dynamic behaviors of Lotka-Volterra predator-prey model[J].Journal of Fuzhou University(Natural Science Edition),2022,50(6):723-728. |
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| Authors: | ZHOU Qimei LIN Siji CHEN Fengde CHEN Xiaoying |
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| Institution: | School of Mathematics and Statistics, Fuzhou University,School of Mathematics and Statistics, Fuzhou University |
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| Abstract: | A Lotka-Volterra predator-prey model with Allee effect is considered, and the influence of Allee effect on the population is studied. The existence and stability of equilibrium point of the system is discussed. The influence of Allee constant m on population dynamics is studied by numeric. The results demonstrate that the Allee effect increases the final density of the predator in steady state, and the time required for the system to reach the steady-state solution is depending on Allee effect. |
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| Keywords: | Allee effect predator-prey model steady-state solution |
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