Global analysis of an age-structured SEIR endemic model

被引：16
|
作者：
Khan, Asaf [1 ,2 ]
Zaman, Gul [2 ]
机构：
[1] Univ Swat, Dept Math & Stat, Khyber Pakhtunkhwa, Pakistan
[2] Univ Malakand, Dept Math, Khyber Pakhtunkhwa, Pakistan
来源：
CHAOS SOLITONS & FRACTALS | 2018年 / 108卷
关键词：
Age-structured; SEIR endemic model; Recruitment rate; Stability analysis; Finite difference method of characteristics; EPIDEMIC MODEL; PULSE VACCINATION; STABILITY; THRESHOLD; BIFURCATION; INFECTIVITY;
D O I：
10.1016/j.chaos.2018.01.037
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present study, an age-structured SEIR endemic model is considered. The population is assumed to be not constant due to different inflows and outflows that are imbalanced by demographics, and migration etc. An abstract Cauchy problem is formulated from the model in order to show that the model is well-posed. The local and global stability of the disease-free steady state is examined using the basic reproduction number R-0. Under certain condition, the endemic steady state is shown to be exist and locally stable. To illustrate the main theorems, sample simulations are presented at the end of the paper. (C) 2018 Elsevier Ltd. All rights reserved.
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页码：154 / 165
页数：12
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