具反馈控制和Beddington-DeAngelis功能反应的离散竞争系统的持久性
Permanence of a Discrete Competitive System with Feedback Controls and Beddington-DeAngelis Functional Response
DOI: 10.12677/AAM.2020.910193, PDF,    科研立项经费支持
作者: 余胜斌：阳光学院基础教研部，福建 福州
关键词: 反馈控制；Beddington-DeAngelis；持久性；离散；竞争；Feedback Controls； Beddington-DeAngelis； Permanence； Discrete； Competitive
摘要: 借助差分不等式，研究一类具Beddington-DeAngelis功能反应和反馈控制的离散非自治竞争系统的持久性，得到了一组新的持久性条件，从而改进了已有的工作。数值模拟验证了结果的可靠性。
Abstract: We consider a discrete nonautonomous competitive system with Beddington-DeAngelis functional response and feedback controls. Using difference inequality theory, new conditions on permanence of the system are obtained. The results improve the recent one obtained by Zhang Jiehua. The numerical simulations show the feasibility of our results.
文章引用：余胜斌. 具反馈控制和Beddington-DeAngelis功能反应的离散竞争系统的持久性[J]. 应用数学进展, 2020, 9(10): 1665-1671. https://doi.org/10.12677/AAM.2020.910193

参考文献

[1] 张杰华. 具反馈控制和Beddington-DeAngelis功能反应的离散竞争系统的概周期解[J]. 应用数学进展, 2020, 9(8): 1134-1145.
[2] Chen, F.D., Chen, X.X. and Huang, S.Y. (2016) Extinction of a Two Species Non-Autonomous Competitive System with Beddington-DeAngelis Functional Response and the Effect of Toxic Substances. Open Mathematics, 14, 1157-1173. [Google Scholar] [CrossRef] 
[3] Yu, S.B. and Chen, F.D. (2019) Dynamic Behaviors of a Competitive System with Beddington-DeAngelis Functional Response. Discrete Dynamics in Nature and Society, 2019, Article ID: 4592054. [Google Scholar] [CrossRef] 
[4] Zhang, J., Yu, S. and Wang, Q. (2020) Extinction and Stability of a Discrete Competitive System with Beddington-DeAngelis Functional Response. Engineering Letters, 28, 406-411.
[5] 余胜斌. 一类非自治连续型竞争系统的概周期解[J]. 福州大学学报(自然科学版), 2019, 47(3): 290-294.
[6] Chen, F.D., Xie, X.D., Miao, Z.S., et al. (2016) Extinction in Two Species Nonautonomous Nonlinear Competitive System. Applied Mathematics and Computation, 274, 119-124. [Google Scholar] [CrossRef] 
[7] Chen, F.D., Gong, X.J. and Chen, W.L. (2016) Extinction in Two Dimensional Discrete Lotka-Volterra Competitive System with the Effect of Toxic Substances (II). Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications & Algorithms, 20, 449-461.
[8] Yu, S.B. (2017) Extinction for a Discrete Competition System with Feedback Controls. Advances in Difference Equations, 2017, Article No. 9. [Google Scholar] [CrossRef] 
[9] 余胜斌. 具反馈控制和 Holling-III的修正Leslie-Gower捕食系统的持久性[J]. 延边大学学报(自然科学版), 2018, 44(1): 49-53.
[10] 余胜斌, 张杰华. 具时滞和反馈控制的修正Leslie-Gower离散系统的持久性[J]. 应用泛函分析学报, 2014, 16(3): 244-249.
[11] 王颖, 陈江彬. 具反馈控制和Holling-Ⅱ类功能性反应的修正Leslie-Gower捕食系统的持久性[J]. 福州大学学报(自然科学版), 2016, 44(2): 150-155.
[12] Wang, L.L. and Fan, Y.H. (2008) Permanence for a Discrete Nicholson’s Blowflies Model with Feedback Control and Delay. International Journal of Biomathematics, 1, 433-442. [Google Scholar] [CrossRef] 
[13] Chen, F.D. (2008) Permanence for the Discrete Mutualism Model with Time Delays. Mathematical and Computer Modelling, 47, 431-435. [Google Scholar] [CrossRef] 

为你推荐