Stability analysis of delay seirepidemic model

被引：0

作者：

Khan, Muhammad Altaf ^{[1
]}

Bonyah, Ebenezer ^{[2
]}

Ali, Shujaat ^{[3
]}

Islam, Saeed ^{[1
]}

Khan, Saima Naz ^{[4
]}

机构：

[1] Abdul Wali Khan Univ Mardan, Dept Math, Khyber Pakhtunkhwa, Pakistan

[2] Kumasi Polytech, Dept Math & Stat, POB 854, Kumasi, Ghana

[3] Islamia Coll Univ, Dept Math, Peshawar, Khyber Pakhtunk, Pakistan

[4] Abdul Wali Khan Univ Mardan, Dept Phys, Khyber Pakhtunkhwa, Pakistan

来源：

INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES | 2016年 / 3卷 / 07期

关键词：

SEIR epidemic model; Reproduction number; Global stability; Numerical results;

D O I：

10.21833/ijaas.2016.07.008

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper presents the analysis of SEIR epidemic model with time delay. We assumed that the susceptible individuals obey the logistic equation with saturated nonlinear incidence term with susceptible. The disease free equilibrium is stable locally asymptotically when R-0 < 1 and unstable equilibrium exists, when R-0 > 1. ForR(0) > 1, the endemic equilibrium is stable locally as well as globally. Finally, the numerical solutions for the theoretical results are presented. (C) 2016 The Authors. Published by IASE.

引用

页码：46 / 53

页数：8

共 21 条

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