Article ID Journal Published Year Pages File Type
483434 Journal of the Egyptian Mathematical Society 2015 5 Pages PDF
Abstract

With influenza as a prototype, we propose a compartmental model for a pandemic by taking into account of recruitment. The model has a threshold dynamics. Precisely, when the basic reproduction number R0⩽1R0⩽1, the disease free equilibrium is globally asymptotically stable; when R0>1R0>1, the disease free equilibrium is unstable and there is a unique endemic equilibrium which globally attracts all solutions except the trivial one (the disease free equilibrium). These results are established by applying the LaSalle’s invariance principle.

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Physical Sciences and Engineering Computer Science Computer Science (General)
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