摘要
研究了一类两种群相互竞争的SEIQV传染病模型.讨论了系统平衡点的存在性,再利用Lyapunov函数、Lasalle不变集原理和Routh-Hurwitz准则等证明了系统平衡点的稳定性,得到了系统平衡点稳定的条件.结果表明,在两种群之间,交叉传染强度越大,疾病流行的可能性越大;若不存在交叉传染,疾病将逐渐趋于灭亡.
An SEIQV epidemic model of two competitive species is studied.The existence of equilibrating points is discussed.The stability of the equilibrium points of the system is proved by using the Lyapunov function,Lasalle invariant set principle and Routh-Hurwitz criterion,and the condition which make the equilibrium points stable is obtained.The results show that the disease may prevail when the interinfection is high enough and the disease will die out without the inter-infection for both species.
作者
侯高梅
周文
瞿佳
Hou Gaomei Zhou Wen Qu Jia(School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China)
出处
《宁夏大学学报（自然科学版）》
CAS
2016年第3期257-263,267,共8页
Journal of Ningxia University(Natural Science Edition)
基金
国家自然科学基金资助项目(11302002)
安徽省高校优秀青年人才基金重点资助项目(2011SQRL022ZD)
关键词
竞争系统
传染病模型
平衡点
稳定性
competitive system
epidemic model
equilibrium point
stability
