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Analysis Of The Medium Epidemic Model With Infection And Age Of Susceptible

Posted on:2015-02-09Degree:MasterType:Thesis
Country:ChinaCandidate:D X LiuFull Text:PDF
GTID:2250330428478563Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
Media infectious disease is one of several class infectious diseases most harmful to human health.Modeling analysis was carried out on the medium of infectious diseases, prevent and control its spread has value and practical significan.Because people of different ages have different ability to fight infections,so A disease model with infected and susceptible age structure impact of medium is constructed.It is shown the expression of the basic reproductive number,that the global dynamical behavior of this model is completed determined by Ro, that is, the disease free equilibrium is global asymp-totical stable if R0<1, in this case,the disease will die out; The endemic equilibrium is global asymptotical stable if R0>1, in this case, the disease will persist in population.
Keywords/Search Tags:susceptible age structure, infected age structure, medium coverage, basic reproductionnumber, global asymptotic stability, Lyapunov functional
PDF Full Text Request
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