Global Stability Analysis for a Generalized SEIR Epidemic Model with Vaccination and Treatment

被引：0

作者：

Bernoussi, Amine ^{[1
]}

Hattaf, Khalid ^{[2
,3
]}

El Boukari, Brahim ^{[4
]}

机构：

[1] Ibn Tofail Univ, Fac Sci, Lab Equat partielles Algebre & Geometrie spectrale, BP 133, Kenitra 14000, Morocco

[2] Ctr Reg Metiers Educ Format CRMEF, Equipe Rech Modelisat & Enseignement Math ERMEM, Casablanca 20340, Morocco

[3] Hassan II Univ Casablanca, Fac Sci Ben Msick, Lab Anal Modeling & Simulat LAMS, POB 7955 Sidi Othman, Casablanca, Morocco

[4] Sultan Moulay Slimane Univ, Higher Sch technol, Lab Appl Math & Sci Calculus LMACS, Beni Mellal 23000, Morocco

来源：

JOURNAL OF APPLIED NONLINEAR DYNAMICS | 2025年 / 14卷 / 01期

关键词：

SEIR epidemic model; Vaccination; Treatment; Generalized nonlinear incidence; Global stability; BIFURCATION-ANALYSIS; NONLINEAR INCIDENCE;

D O I：

10.5890/JAND.2025.03.005

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The aim of this work is to propose and investigate the global stability of a delayed SEIR epidemic model with a generalized incidence function. The proposed model also includes general treatment function and vaccination term. Using the Lyapunov functions in the absence of delay, we show that the disease-free steady state is globally asymptotically stable if R-0 <= 1, and the disease-endemic steady state is globally asymptotically stable if R-0 > 1, where R-0 is the basic reproduction number. For specific functions which are given to the treatment function and the incidence function, we show that the vaccination and early treatment play an important role in healing. Moreover, numerical simulations are given to illustrate and confirm our main analytical results. (c) 2025 L&H Scientific Publishing, LLC. All rights reserved.

引用

页码：67 / 85

页数：19

共 51 条

[31] Contribution to the mathematical theory of epidemics [J].