MATHEMATICAL ANALYSIS OF A TRIPLE AGE DEPENDENT EPIDEMIOLOGICAL MODEL WITH INCLUDING A PROTECTION STRATEGY

被引：11

作者：

Hathout, Fatima Zohra ^{[1
]}

Touaoula, Tarik Mohammed ^{[1
]}

Djilali, Salih ^{[2
,3
]}

机构：

[1] Univ Abou Bekr Belkaid Tlemcen, Dept Math, Lab Anal Non Lineaire & Math Appl, Tilimsen 13000, Algeria

[2] Univ Tlemcen, Lab Anal Non Lineaire & Math Appl, Tilimsen, Algeria

[3] Hassiba Benbouali Univ, Fac Exact Sci & Informat, Math Dept, Chlef, Algeria

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2022年 / 27卷 / 12期

关键词：

age structured SIR model; Lyapunov functional; uniform persistence; total trajectories; alpha and omega limit sets; GLOBAL STABILITY; SIR; INFECTION; DELAY;

D O I：

10.3934/dcdsb.2022048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this research, we consider the influence of protection measures on the spread of infectious diseases in an age-structured population. Protection strategy can take different forms as isolation, treatment, or renewable vaccine; to mathematically represent it, we include a new compartment p standing for protected individuals, in a classical age structured si model. Global analysis of the proposed model is made by the introduction of total trajectories and a suitable Lyapunov functional. We give a particular importance to the protection strategy and many numerical simulations are provided to illustrate our theoretical results.

引用

页码：7409 / 7443

页数：35

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