title: Global stability of a transport-related infection model with general incidence rate in two heterogeneous cities.
abstract: To further understand the effects of travel on disease spread, a transport-related infection model with general incidence rate in two heterogeneous cities is proposed and analyzed. Some analytical results on the global stability of equilibria (including disease free equilibrium and endemic equilibrium) are obtained. The explicit formula for the basic reproduction number R0 is derived and it is proved to be a threshold for disease spread. To reveal how incidence rate and travel rate influence the disease spread, effects of general incidence rate and travel rate on the dynamics of system are shown via numeric simulations.
authors.affiliation: Key Laboratory of Eco-environments in Three Gorges Reservoir Region (Ministry of Education), School of Mathematics and Statistics, Southwest University, Chongqing 400715, China.
authors.forename: Lili
authors.initials: L
authors.lastname: Liu
authors.affiliation: Key Laboratory of Eco-environments in Three Gorges Reservoir Region (Ministry of Education), School of Mathematics and Statistics, Southwest University, Chongqing 400715, China. Electronic address: liuxn@swu.edu.cn.
authors.forename: Xianning
authors.initials: X
authors.lastname: Liu
mesh_terms: D002947:Cities / Q000453:epidemiology* / Q000706:statistics & numerical data*; D003141:Communicable Diseases / Q000453:epidemiology*; D058872:Epidemics / Q000706:statistics & numerical data; D006801:Humans; D015994:Incidence; D008962:Models, Theoretical; D014195:Travel / Q000706:statistics & numerical data* / Q000639:trends
keywords: General incidence rate; Global stability; Heterogeneous cities; Transport-related infection