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《Journal of Biomathematics》 2008-01
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A Class of Markov-Modulated Continuous Infectious Disease Model

DONG Hai-ling HOU Zhen-ting WANG Bing-chang (School of Mathematics,Central South University,Changsha Hunan 410075 China)  
In this paper,by using for reference methods of insurance theory,we consider such an infectious disease model,i.e.there are certain infection patients initially in one area,suppose on one hand,the patient is increasing constantly,and the infectious rate is affected by patient's figure at that time;on the other hand,emergence frequency and figure of the patient reduces (death or cures)are affected by an external environment,and the external environment assumes for a Markov processes with limited states,under these assumptions,we obtain the probability that disease become extinct when initial state is at the i and the probability that disease become extinct with steady states.
【Fund】: 国家自然科学基金(No.10671212)资助项目;; 高校博士点基金(No.20050533036)资助项目;; 中南大学学位创新基金(No.3340-76206)
【CateGory Index】: O211.62
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