title: Dynamics of an SIQS epidemic model with transport-related infection and exit-entry screenings.
abstract: Population dispersal, as a common phenomenon in human society, may cause the spreading of many diseases such as influenza, SARS, etc. which are easily transmitted from one region to other regions. Exit and entry screenings at the border are considered as effective ways for controlling the spread of disease. In this paper, the dynamics of an SIQS model are analyzed and the combined effects of transport-related infection enhancing and exit-entry screenings suppressing on disease spread are discussed. The basic reproduction number is computed and proved to be a threshold for disease control. If it is not greater than the unity, the disease free equilibrium is globally asymptotically stable. And there exists an endemic equilibrium which is locally asymptotically stable if the reproduction number is greater than unity. It is shown that the disease is endemic in the sense of permanence if and only if the endemic equilibrium exists. Exit screening and entry screening are shown to be helpful for disease eradication since they can always have the possibility to eradicate the disease endemic led by transport-related infection and furthermore have the possibility to eradicate disease even when the isolated cites are disease endemic.
authors: Key Laboratory of Eco-environments in Three Gorges Reservoir Region (Ministry of Education), School of Mathematics and Statistics, Southwest University, Chongqing 400715, PR China. liuxn@swu.edu.cn
authors: Xianning
authors: X
authors: Liu
authors: Xiaoping
authors: X
authors: Chen
authors: Yasuhiro
authors: Y
authors: Takeuchi
mesh_terms: D003141:Communicable Diseases / Q000453:epidemiology*; D018562:Disease Transmission, Infectious / Q000706:statistics & numerical data*; D058872:Epidemics; D006801:Humans; D008403:Mass Screening / Q000379:methods; D008954:Models, Biological; D014186:Transportation; D014195:Travel