Literature DB >> 25678683

Revisiting a two-patch SIS model with infection during transport.

Julien Arino1, Chengjun Sun2, Wei Yang3.   

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.
© The Authors 2015. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Entities:  

Keywords:  SIS patch model; basic reproduction number; global asymptotic stability; infection during transport

Mesh:

Year:  2015        PMID: 25678683     DOI: 10.1093/imammb/dqv001

Source DB:  PubMed          Journal:  Math Med Biol        ISSN: 1477-8599            Impact factor:   1.854


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