
Epidemic Model with Additional Disease Death
Rates
Han Litao1,
Li Weihua2, Ma Zhi'en1
(1. Xi'an Jiaotong University, Xi'an 710049, China£»2. Beihai Zhongcheng Parent Company for Industrial Exploiture)
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Abstract: A nonautonomous S(susceptible)-I(infective)-S(susceptible)
epidemic model is developed for two competitive species with additional disease death
rates. Two possibilities prevail with both populations persistent or with one persistent
and the other extinct.But it is impossible for both to be extinct.Moreover,the existence
and global stability of the periodic solution of the system are also discussed when both
populations coexist.
Keywords: epidemic model;additional disease death rate;global asymptotic
stability