机构地区: 华南理工大学理学院
出 处: 《北华大学学报(自然科学版)》 2011年第2期144-148,共5页
摘 要: 研究了一类具有非线性发生率的四维生态-传染病模型,讨论了该模型的平衡点的存在条件,并对边界平衡点的局部稳定性进行分析,最后通过构造Lyapunov泛函得到了正平衡点全局稳定的充分条件. A four dimensional eco-epidemiological model with nonlinear incidence rate is studied.The existence condition of the equilibria is discussed and the locally asymptotical stability of the equilibria is analyzed,then a sufficient condition for global stability of the positive equilibria is obtained by constructing appropriate Lyapunov function.