一类源于传染病模型的积分方程的正解

ON THE POSITIVE SOLUTION OF AN INTEGRAL EQUATION RESULTING FROM AN AGE-STRUCTURED EPIDEMIC MODEL

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摘要利用Krasnosel'skii拓扑方法对一类积分方程给出正解存在唯一的充要条件,并利用模型参数对阈值作出估计. This article is concerned with the positive solution of an integral equation derived from an epidemic model. The threshold for the existence and uniqueness of the positive solution is obtained and estimated by the model parameters.

作者何泽荣王绵森雒志学

机构地区西安交通大学理学院

出处《系统科学与数学》 CSCD 北大核心 2004年第2期145-154,共10页 Journal of Systems Science and Mathematical Sciences

基金杭州电子工业学院科研基金(ZX0202Y43)资助课题.

关键词传染病模型年龄结构非线性算子分支谱分析正解. Age-structure, bifurcation, spectral analysis, positive solution.

分类号 O175.5 [理学—数学]

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一类源于传染病模型的积分方程的正解

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