环境因素影响下的宿主内部与宿主之间疾病传染耦合系统的离散情形（英文）

A Discrete Time Analogue for Coupling Within-host and Between-host Dynamics in Environmentally-driven Infectious Disease

通过非标准差分法,研究了一个环境因素影响下的宿主内部与宿主之间疾病传染的离散耦合系统.下面将耦合系统分为快系统和慢系统来分析.在快系统中,得到了解的正性、有界性和无病平衡点和被传染平衡点的存在性,然后,用线性化方法证明了平衡点的稳定性.在慢系统中,得到地方病平衡点的存在性和它的局部稳定性.

In this paper, we study a discrete coupling within-host and between-host model in environmentally-driven infectious disease by the Non-standard finite difference method. We analyze the decoupling models which are divided into fast system and slow system. In the fast system, The basic properties on the positivity and boundedness of solutions and the existence of the infection-free, infected equilibria are established. By using the linearization methods, the local stability of infection-free equilibria and infected equilibria are established. In the slow system, we also prove the existence of endemic equilibrium and the local stability of the equilibria.