环境因素影响下的宿主内部与宿主之间疾病传染耦合系统的离散情形（英文）

王建鹏; 滕志东

doi:10.13568/j.cnki.651094.2016.01.009

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环境因素影响下的宿主内部与宿主之间疾病传染耦合系统的离散情形（英文）

更新时间：2026-01-21

- 环境因素影响下的宿主内部与宿主之间疾病传染耦合系统的离散情形（英文）
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 33, Issue 1, Pages: 54-61(2016)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：10.13568/j.cnki.651094.2016.01.009
  CLC： O175
- Published：2016
- 稿件说明：
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[1]王建鹏,滕志东.环境因素影响下的宿主内部与宿主之间疾病传染耦合系统的离散情形（英文）[J].新疆大学学报(自然科学版),2016,33(01):54-61.
[1]王建鹏,滕志东.环境因素影响下的宿主内部与宿主之间疾病传染耦合系统的离散情形（英文）[J].新疆大学学报(自然科学版),2016,33(01):54-61. DOI： 10.13568/j.cnki.651094.2016.01.009.

DOI：10.13568/j.cnki.651094.2016.01.009.

摘要

通过非标准差分法

研究了一个环境因素影响下的宿主内部与宿主之间疾病传染的离散耦合系统.下面将耦合系统分为快系统和慢系统来分析.在快系统中

得到了解的正性、有界性和无病平衡点和被传染平衡点的存在性

然后

用线性化方法证明了平衡点的稳定性.在慢系统中

得到地方病平衡点的存在性和它的局部稳定性.

Abstract

In this paper

we study a discrete coupling within-host and between-host model in environmentally-driven infectious disease by the Non-standard finite difference method.We analyze the decoupling models which are divided into fast system and slow system.In the fast system

The basic properties on the positivity and boundedness of solutions and the existence of the infection-free

infected equilibria are established.By using the linearization methods

the local stability of infection-free equilibria and infected equilibria are established.In the slow system

we also prove the existence of endemic equilibrium and the local stability of the equilibria.

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Keywords

references

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Shi P,Dong L.Dynamical behaviors of discrete HIV-1 virus model with bilinear infective rate[J].Math Meth Appl,2014,37:2271-2280.

Hattaf K,Yousfi N,Tridane A.Mathematical analysis of a virus dynamics model with general incidence rate and cure rate[J].Nonlinear Anal:RWA.2012,13:1866-1872.

Feng Z,Velasco-Hernandez J,Tapia-Santos B.A mathemical model for coupling within-host and between-host dynamics in an environmentallydriven infectious disease[J].Mathemical Biosciences,2013,241:49-55.

Mickens R E.Nonstandard finite difference models of differential equations[M].Singapore:World Scientific,1994.

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Zhou Y,Cao H,Xiao Y.The Difference Equation and application[M].Binjing:Science Press,2014.(in Chinese)

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