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Analysis And Control For A Kind Of Vector-borne Transmission Disease

Posted on:2013-02-04Degree:MasterType:Thesis
Country:ChinaCandidate:J WangFull Text:PDF
GTID:2210330374459331Subject:Applied Mathematics
Abstract/Summary:
In this paper, a vector-borne disease transmission model with no linear and vaccination force of fection is formulated and analyzed. The explicite expression of basic reproduction number Ro(Φ) which is related with vaccination rate (Φ) is obtained. It is shown that the global dynamical behavior of the model is completely determined by Ro(Φ). If Ro(Φ)<1, the model exits only disease-free equilibrium which is globally asymptotically stable, in this case, the disease dies out. If Ro(Φ)>1, the disease-free equlibrium is unstable, and the model exits an unique endemic equilibrium, which is globally asymptotically stable, in this case, the disease will persist in vactor and human. Finally, the numerical simulations are given to support the theoretical results. The sensitive analysis of Ro(Φ) on some parameters are also perfermed.
Keywords/Search Tags:Vector-borne disease, basic reproduction, endemic equilibrium, basic re-production number, disease persistence, numberical simulations
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