Affiliation:
1. College of Mathematics and Statistics Fuzhou University No. 2, wulongjiang Avenue, Minhou County, Fuzhou CHINA
Abstract
A nonautonomous single-species model with stage structure and feedback control is revisited in this paper. By applying the differential inequality theory, a set of delay-dependent conditions ensures the permanence of the system is obtained; Next, by further developing the analytical technique of Chen et al, we prove that the system is always permanent. Numeric simulation supports our findings. Also, the numeric simulation shows that the feedback control variable harms the final density of the species, and this may increase the chance of the extinction of the species. Our results supplement and complement some known results.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)
Subject
Electrical and Electronic Engineering
Reference52 articles.
1. Chen F. D., Chen W. L., et al, Permanece of a stage-structured predator-prey system, Applied Mathematics and Computation, Vol. 219, No. 17, 2013, pp.8856-8862
2. Huang X, Chen F, Xie X, et al, Extinction of a two species competitive stage-structured system with the effect of toxic substance and harvesting, Open Mathematics, Vol.17, No.1, 2019, pp. 856-873.
3. Chen F. D., Wang H. N., et al, Global stability of a stage-structured predator-prey system, Ap plied Mathematics and Computation, Vol.223, No.1,2013, pp.45-53.
4. Chen F. D., Xie X. D., et al, Dynamic behaviors of a stage-structured cooperation model, Communications in Mathematical Biology and Neuroscience, V ol 2015, No.1, 2015, Article ID 4.
5. Li T. T., Chen F. D., et al, Stability of a mutualism model in plant-pollinator system with stagestructure and the Beddington-DeAngelis functional response, Journal of Nonlinear Functional Analysis, Vol. 2017, No.1, 2017, Article ID 50.
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献