摘要
研究了一类具有时滞的SIRS传染病模型,利用对模型的分析,得到了疾病灭绝与否的基本再生数,给出了无病平衡点的全局吸引性及地方病平衡点稳定性的存在条件,证明了疾病的持久性.
In this paper,a disease transmission model of SIRS type with two delays is studied.A basic reproductive number which determines the outcome of the infectious disease is found by analysis of the subsystem of the model,the existence conditions with the global attractive of the disease free equilibrium and the stability of the endemic equilibrium is given,and the persistent of the disease is proved.
出处
《东北师大学报（自然科学版）》
CAS
CSCD
北大核心
2011年第2期10-15,共6页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10771085)
黑龙江省教育厅科学研究项目(11531426)
