带有感染年龄及脉冲接种策略的肺结核模型的全局稳定性

发布时间：2018-04-22 06:05

本文选题：染病年龄 + 脉冲周期　；参考：《信阳师范学院》2013年硕士论文

【摘要】：本文研究脉冲疫苗接种策略对根除肺结核的作用.因为肺结核染病个体的传染力和其感染的时间及生理年龄有密切关系.本文建立了一类带有染病年龄和生理年龄的双菌株肺结核SIJR模型.并通过对易感个体脉冲接种疫苗来控制肺结核的传播.本文结果显示.当脉冲周期T和易感者疫苗接种比例p满足条件R0(p,T)1时,存在一个全局稳定的无病平衡状态,即在一定条件下,肺结核是可以根除的.本文最后讨论了带有有限资源的疫苗接种的最优控制问题.
[Abstract]:This paper studies the effect of pulse vaccination strategy on the eradication of pulmonary tuberculosis. Because the infection rate of pulmonary tuberculosis is closely related to the time of infection and physiological age. A SIJR model of two strains pulmonary tuberculosis with infected age and physiological age was established in this paper. The transmission of tuberculosis is controlled by pulse vaccination of susceptible individuals. The results show that. When pulse cycle T and susceptible vaccination ratio p meet condition R0 pT1, there is a globally stable disease-free equilibrium state, that is, tuberculosis can be eradicated under certain conditions. Finally, the optimal control of vaccination with limited resources is discussed.
【学位授予单位】：信阳师范学院
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：R521;R-33

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