2015•Journal of Science of Teachers' College and UniversityRequires access
Stability analysis of a kind of host-vector epidemic model with standard incidence rate
Xiao Ya-na
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Abstract
The host-vector epidemic model with standard incidence rate was formulated and studied.The threshold is identified which determines the outcome of disease and the existence of the equilibrium was discussed.The model is shown that the disease free equilibrium is locally stability when R01.For the basic reproductive number R01,a unique endemic equilibrium exists and is locally asymptotically stable.The numerical simulations are carried out to find the disease free equilibrium and endemic equilibrium are globally asymptotically stable.