一类与传染病模型有关的积分方程的定性性质  

Qualitative Behaviour for a Class of Integral Equations Related to Some Epidemic Model

作　　者：屈英[1] 

机构地区：[1]中央财经大学应用数学学院,北京100081

出　　处：《生物数学学报》2010年第4期647-652,共6页Journal of Biomathematics

摘　　要：证明了一类与传染病模型有关的积分方程解的唯一性,整体存在性和当t→∞时收敛到零的若干充分条件.利用Banach不动点定理证明了存在性结果,利用一个新的积分不等式证明了收敛性结果.Sufficient conditions for the uniqueness,global existence and the convergence to zero when t→∞of solutions for a class of integral equations related to an epidemic model are proved.The existence result is proved by applying the Banach fixed point theorem and for the proof of the convergence result a new type of integral inequality is used.

关 键 词：积分方程 积分不等式 传染病模型 

分 类 号：O175.12[理学—数学]