摘要
研究一类非线性周期连续时滞传染病模型ny′i(t)=-αi(t)yi(t)+(ci(t)-yi(t))∑j=1βij(t∫)0-TKj(s)yj(t+s)ds,i=1,2,…,n作者主要讨论了该传染病模型的周期正解的全局存在性,运用重合度延拓理论证明了该模型至少存在一个满足容许值的ω-周期正解.
In this paper, we study a class of periodic nonlinear infectious model with continuous time delay y＇i（t）=-ai（t）yi（t）＋（ci（t）-yi（t））∑^n j=1 βij（t）∫^0 -T Kj（s）yj（t＋s）ds,（i=1,2,…,n）,We mainly discuss the global existence of periodic and positive solution for the infectious model. We prove that the model has at least one ω-psriodic positive solution, which satisfies permitted value, by means of a continuation theorem based on coincidence degree theory.
出处
《数学的实践与认识》
CSCD
北大核心
2006年第4期151-157,共7页
Mathematics in Practice and Theory
基金
福建教育学院科研基金资助项目
福建省教育厅资助科技项目(JA05334)
关键词
传染病模型
周期正解
重合度
infectious model
positive periodic solution
coincidence degree
