具有Beddington-DeAngelis功能反应和密度制约的非自治捕食–食饵系统的灭绝性
Extinctionof the Density Dependent Nonautonomous Predator-Prey System with Beddington-DeAngelis Functional Response
摘要: 本文研究具有Beddington-DeAngelis功能反应和密度制约的非自治捕食–食饵系统，利用比较定理和微分不等式及Logistic方程的动力学行为，得到边界周期解的全局渐近稳定性。我们的主要结论表明，即使没有种内竞争，但如果在一个周期区间上捕食者种群的平均收益小于平均死亡数，就会导致该种群的灭绝。另外，给出了数值模拟验证所得理论结果是正确的。
Abstract: In this paper, the density dependent nonautonomous predator-prey system with Beddington-DeAngelis functional response is studied. The global asymptotic stability of boundary periodic solution is obtained by using the comparison theorem, differential inequality and the dynamics of Logistic equation. Our main result indicates that, even though there is no intraspecific competition, over a periodic interval if the average predation benefit is less than the average death number of predator species, the predator species will go extinction. In addition, some numerical simulations are performed to illustrate the theoretical results.
文章引用：曾文瑞, 白定勇, 李金水. 具有Beddington-DeAngelis功能反应和密度制约的非自治捕食–食饵系统的灭绝性[J]. 应用数学进展, 2020, 9(3): 400-407. https://doi.org/10.12677/AAM.2020.93048

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