Global stability of a two-stage epidemic model with generalized non-linear incidence

S.M. Moghadas and A.B. Gumel

Mathematics and Computers in Simulation (MATCOM), 2002, vol. 60, issue 1, 107-118

Abstract: A multi-stage model of disease transmission, which incorporates a generalized non-linear incidence function, is developed and analysed qualitatively. The model exhibits two steady states namely: a disease-free state and a unique endemic state. A global stability of the model reveals that the disease-free equilibrium is globally asymptotically stable (and therefore the disease can be eradicated) provided a certain threshold R0 (known as the basic reproductive number) is less than unity. On the other hand, the unique endemic equilibrium is globally asymptotically stable for R0>1.

Keywords: Equilibria; Multi-stage infection; Non-linear incidence; Stability (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:60:y:2002:i:1:p:107-118

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