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Volume 20,     Number 4,     Winter 2012

 

WEST NILE DYNAMICS: VIRUS
TRANSMISSION BETWEEN DOMESTIC AND
WILD BIRD POPULATIONS THROUGH
VECTORS
TUFAIL MALIK, PAUL SALCEANU, ANUJ MUBAYI,
ABDESSAMAD TRIDANE AND MUDASSAR IMRAN

Abstract. A deterministic model is constructed and analyzed to study the dynamics of West Nile Virus (WNV) transmission between two bird populations|domestic and wild through vectors (mosquitoes). Different effective contact rates are assumed between vectors and each of the two bird populations. The analysis of the model, which is based on a system of ordinary di erential equations, has a globally asymptotically stable disease-free equilibrium whenever a certain epidemiological threshold, known as the reproduction number, is less than unity. The disease persists uniformly with respect to small changes in the model parameters when the reproduction number is larger than unity. Furthermore, in the later case, the model is shown to have a unique endemic equilibrium under a certain condition. Numerical simulations suggest that this endemic equilibrium is asymptotically stable. Our results suggest that intervention programs aimed at the reduction of mosquito density|rather than those associated with birds have a higher impact in controlling WNV in the two bird populations.

 

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