摘要
研究了具有指数出生和标准发生率的SEIR和SEIS组合传染病模型,给出了疾病流行与否的阈值并讨论了平衡点的存在性.在考虑因病死亡率的条件下,利用微分方程稳定性理论及定性分析的方法得到了无病平衡点的全局渐近稳定性;当不考虑因病死亡率时,用自治收敛定理证明了地方病平衡点的全局渐近稳定性.
A kind of combined epidemic models of SEIR and SEIS with exponential birth rate and standard incidence was studied. The threshold is identified which determines the outcome of disease is given and the existence of the equilibrium are discussed. By the means of stable theory and autonomous convergent theory, this paper proves global asymptotical stability of the disease-free equilibrium when taking no account of the disease-caused rate. The global asymptotical stability of the endemic equilibrium is proved using autonomous convergent theory when there＇s no diseasecaused person.
出处
《上海理工大学学报》
CAS
北大核心
2009年第3期223-227,共5页
Journal of University of Shanghai For Science and Technology
