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In this paper,we analyze a class of epidemic dynamical model with lifelong immunity which includes vac- cination and isolation.The threshold data Rq is obtained,which determines the existence of an infectious disease.When Rq≤1,there only exists disease-free equilibrium E0,which is globally and asymptotically stable.When Rq>1,there ex- ist two equilibrium points,the disease-free equilibrium Eo which is unstable and the endemic equilibrium E* which is globally and asymptotically stable.Through mathematic software MATLAB,the SIQR model can also be numerically simulated,showing that the effect of combining vaccination and quarantine is conspicuous.
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Basic Information:
China Classification Code:O175.1
Citation Information:
[1]GUO Xiao-jun LI Da-zhi (School of Sciences,Nantong University,Nantong 226007,China).Stability Analysis on a Class of SIQR Epidemic Dynamical Model with Vaccination and Isolated Items[J].Journal of Nantong University (Natural Science Edition),2008,7(04):87-93.
Fund Information:
南通大学自然科学基金项目(07Z008)
2008-12-15
2008-12-15