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《Journal of Anhui Agricultural Sciences》 2012-02
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Dynamic Analysis of an Epidemic Model with Constant Immigration and Immunity

ZHANG Li-juan et al(Institute of Disaster Prevention,Beijing 065201)  
This article has considered an SEIRS model that incorporates the constant inflow of new individuals.The model also incorporates a population size dependent contact rate.The constant inflow includes susceptible,exposed,infected person and rehabilitation clients.As the infected fraction cannot be eliminated from the population,it was identifiecd that there is an endemic equilibrium which is globally asymptotically stable.In order to prove the global asymptotical stability of the endemic equilibrium,the system was changed into a three-dimensional asymptotical autonomous system with limit equation.If immigrants are all susceptible,the model considered here shows a threshold phenomenon and a sharp threshold has been obtained.
【Fund】: 防灾减灾青年科技基金项目(201009)
【CateGory Index】: R181.3
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【References】
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【Co-citations】
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1 ZHANG Juan,LI Jian-quan,MA Zhi-en(Department of Mathematics, Xi'an Jiaotong University, Xi'an 710049);Global Analysis of SIR Epidemic Models with Population Size Dependent Contact Rate[J];Chinese Journal of Engineering Mathematics;2004-02
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1 Zhang YanYan XU Jian (School of Aerospace Engineering and Applied Mechanics, The Key Laboratory of Solid Mechanics of MEC, Tongji University, Shanghai, 200092 China);CLASSIFICATION AND COMPUTATION OF NON-RESONANT DOUBLE HOPF BIFURCATIONS AND SOLUTIONS IN DELAYED VAN DER POL-DUFFING SYSTEM[A];[C];2004
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