哈尔滨商业大学学报（自然科学版）Issue(3)：327-331,5.
一类潜伏期具有传染性的流行病模型的稳定性
Stability and optimal control problems of epidemic model with infectivity in latent period
摘要
Abstract
An SEIQ epidemic model with infectivity and recovery in both latent period and in-fected period was introduced .The basic reproduction number was established .By means of Routh-Hurwitz criterion and LaSalle invariant principle , the global stability of the disease-free equilibrium was proved .Using the generalized Bendixson -Dulac theorem , the global stability of the positive equilibrium was proved .The optimal control problems of the epidemic model by using the norm index function as the standard of the examining the control variable were discussed .关键词
潜伏期/隔离/全局稳定性/最优控制元Key words
latent period/quarantine/global stability/optimal control element分类
数理科学引用本文复制引用
张瑜..一类潜伏期具有传染性的流行病模型的稳定性[J].哈尔滨商业大学学报（自然科学版）,2014,(3):327-331,5.基金项目
黑龙江省自然科学基金 （）
