具有超级感染和Logistic增长的两菌株传染病模型

A Two-strain Epidemic Model with Super-infection and Logistic Growth

研究一类具有Logistic增长和超级感染的两菌株传染病模型.首先,证明模型解的非负性和有界性;其次,讨论平衡点的存在性和局部稳定性;最后,运用Lyapunov函数方法与LaSalle不变集原理得出其全局稳定性,并通过数值模拟验证了理论结果.

The dynamics of a two-strain model with superinfection and Logistic growth is formulated.Firstly,the nonnegativity and boundedness of the solution of the model is presented;Secondly,the existence and local stability of the equilibria are discussed;Finally,by constructing Lyapunov function and LaSalle invariant principle,the global stability of such equilibria is obtained.Numerical simulations are carried out to validate the theoretical results.