GLOBAL STABILITY OF AN EPIDEMIC MODEL FOR VECTOR-BORNE DISEASE  

作　　者：Hongzhi YANG Huiming WEI Xuezhi LI 

机构地区：[1]Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China. [2]State Key Laboratory of Multiphase Flow in Power Engineering, Xian Jiaotong University, Xi'an 710049,China [3]Department of Mathematics, Xinyang Normal University, Xinyang 464000, China. [4]Department of Mathematics, Xinyang Normal University, Xinyang 464000, China

出　　处：《Journal of Systems Science & Complexity》2010年第2期279-292,共14页系统科学与复杂性学报（英文版）

基　　金：supported by the Natural Science Foundation of China under Grant Nos.10371105 and 10671166;the Natural Science Foundation of Henan Province under Grant No.0312002000

摘　　要：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 Ro. If Ro ≤ 1, the diseasefree equilibrium is globally stable and the disease dies out. If Ro 〉 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.

关 键 词：Basic reproduction number endemic equilibrium epidemic model global stability vectorborne disease. 

分 类 号：O175[理学—数学] Q141[理学—基础数学]