Global stability of an epidemic model for vector-borne disease |
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| Authors: | Hongzhi Yang Huiming Wei Xuezhi Li |
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| Institution: | 1.Faculty of Science,Xi’an Jiaotong University,Xi’an,China;2.State Key Laboratory of Multiphase Flow in Power Engineering,Xian Jiaotong University,Xi’an,China;3.Department of Mathematics,Xinyang Normal University,Xinyang,China |
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| Abstract: | This paper considers an epidemic model of a vector-borne disease which has the vectormediated transmission only. The incidence
term is of the bilinear mass-action form. It is shown that the global dynamics is completely determined by the basic reproduction
number R
0. If R
0 ≤ 1, the diseasefree equilibrium is globally stable and the disease dies out. If R
0 > 1, a unique endemic equilibrium is globally stable in the interior of the feasible region and the disease persists at the
endemic equilibrium. Numerical simulations are presented to illustrate the results. |
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| Keywords: | |
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