title: Revisiting a two-patch SIS model with infection during transport.
abstract: We incorporate parameter heterogeneity in a two-patch susceptible-infectious-susceptible (SIS) epidemic model with infection during transport and prove that the disease-free and endemic equilibria are globally asymptotically stable when the basic reproduction number [Formula: see text] and [Formula: see text], respectively. We find that infection during transport increases the possibility that the disease persists in both patches and amplifies prevalence when disease is present. We then study the effect of a perfect unilateral exit screening programme. Finally, we compare numerically the effects of using different incidence functions for infection within and while travelling between patches, and find that using mass action incidence to model infection during transport has the effect of maintaining disease prevalence at a higher level compared with when standard incidence is used.
authors: Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada.
authors: Julien
authors: J
authors: Arino
authors: Department of Mechanical Engineering, The University of Hong Kong, Pok Fu Lam Road, Hong Kong.
authors: Chengjun
authors: C
authors: Sun
authors: Shanghai Center for Mathematical Sciences, Fudan University, Shanghai, China weiyang@fudan.edu.cn.
authors: Wei
authors: W
authors: Yang
mesh_terms: D050936:Basic Reproduction Number; D018562:Disease Transmission, Infectious; D058872:Epidemics; D006801:Humans; D008962:Models, Theoretical
keywords: SIS patch model; basic reproduction number; global asymptotic stability; infection during transport