具有脉冲出生和垂直传染的双时滞SERIS传染病模型

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英文篇名：Two time delays for a SEIRS epidemic model with pulse birth and vertical transmission 作者：连晓飞 ; 周文 ; 曹磊 英文作者：LIAN Xiao-fei;ZHOU Wen;CAO Lei;Coll.of Math.&Comp.Sci.,Anhui Normal University; 关键词：频闪映射 ; 脉冲出生 ; 持久性 ; 比较定理 英文关键词：stroboscopic map;;pulse birth;;permanence;;comparison theorem 中文刊名：AHJD 英文刊名：Journal of Anhui Polytechnic University 机构：安徽师范大学数学与计算机科学学院; 出版日期：2014-06-15 出版单位：安徽工程大学学报 年：2014 期：v.29;No.89 基金：国家自然科学基金资助项目(11302002);; 安徽高校省级优秀青年人才基金资助项目(2010SQRL0256ZD,2011sqrl022ZD) 语种：中文; 页：AHJD201402023 页数：5 CN：02 ISSN：34-1318/N 分类号：93-97

摘要

考虑到某些种群的出生受季节变化的影响,建立了具有脉冲出生和垂直传染的双时滞SEIRS模型.利用频闪映射获得了无病周期解的表达式,并通过比较定理证明了当R0>1时,无病周期解全局吸引;当R*0时传染病持续.
        Considering the impact of some populations affected by seasonal changers,a delay SEIRS model with pulse birth and vertical transmission is proposed.Using the discrete dynamical system determined by the stroboscopic map,the exact expression of infection-free periodic solution is obtained.Furthermore,by the comparison theorem,it is proved that the infection-free periodic solution is globally attractive when R0<1 and the disease is persistent when R*0>1.

引文

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