一类具有年龄和病程的传染病模型的等价积分方程组  

Equivalent Integral Equations for a Class of Infectious Diseases Models with Age and Course of Disease

作　　者：俞芳[1] 李硕 王天松 Yu Fang;Li Shuo(Department of Mathematics,Changji University,Changji Xinjiang 831100,China;School of Mathematics and Information Science,Shaanxi Normal University,Xi'an Shaanxi 710119,China)

机构地区：[1]昌吉学院数学系,新疆昌吉831100 [2]陕西师范大学数学与信息科学学院,陕西西安710119

出　　处：《天水师范学院学报》2020年第5期10-12,共3页Journal of Tianshui Normal University

基　　金：新疆维吾尔自治区高校科研计划项目(XJEDU2016S082);新疆维吾尔自治区本科教育教学研究和改革项目(新教函[2019]762号)阶段性成果。

摘　　要：研究了一类具有年龄和病程的传染病模型,在总人口达到平衡状态时,建立了相应的等价模型,并利用偏微分方程的特征理论给出了模型平衡解满足的积分方程组.In this paper,a class of infectious disease models with age and course of disease is studied,when the total population reaches equilibrium,the equivalent model of the model is established,and the integral equations satisfied by the equilibrium solution of the model are given by using the characteristic theory of partial differential equations.

关 键 词：传染病 平衡解 特征理论 

分 类 号：O175[理学—数学]