The stability of a predator-prey system with linear mass-action functional response perturbed by white noise
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- 作者：Qiumei Zhang ; Xiangdan Wen ; Daqing Jiang ; Zhenwen Liu
- 关键词：linear mass ; action functional response ; asymptotically stable ; stochastically asymptotically stable
- 刊名：Advances in Difference Equations
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：2016
- 期：1
- 全文大小：1,989 KB
- 刊物主题：Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
- 出版者：Springer International Publishing
- ISSN：1687-1847
文摘
The present paper deals with the problem of an ecoepidemiological model with linear mass-action functional response perturbed by white noise. The essential mathematical features are analyzed with the help of the stochastic stability, its long time behavior around the equilibrium of deterministic ecoepidemiological model, and the stochastic asymptotic stability by Lyapunov analysis methods. Numerical simulations for a hypothetical set of parameter values are presented to illustrate the analytical findings.