【摘要】 传染病动力学的研究具有重要的实际意义,越来越受到人们的普遍关注.研究一类具常数接触率的传染病模型,用上下解方法讨论了该模型解的存在性、唯一性,讨论了半正常数稳态解的渐近行为,即无病平衡点及染病平衡点的渐进行为,得到了各自全局稳定的充分条件.更多还原

【Abstract】 Researches on epidemic dynamics,which are of great practical significance,are receiving an ever-increasingly attention from people of different walks.In this paper,an epidemic model with constant contact is approached by the upper-and-lower solution method to discuss the asymptotic behaviors of disease-free equilibrium and endemic equilibrium.Sufficient conditions for the system to have a semi-positive globally asymptotically stable solution are obtained.更多还原