On analysis and optimal control of a SEIRI epidemic model with general incidence rate

Hassan Aghdaoui; Abdesslem Lamrani Alaoui; Kottakkaran Sooppy Nisar; Mouhcine Tilioua

doi:10.1016/j.rinp.2020.103681

On analysis and optimal control of a SEIRI epidemic model with general incidence rate

Hassan Aghdaoui
, Abdesslem Lamrani Alaoui
, Kottakkaran Sooppy Nisar
, Mouhcine Tilioua

Mathematics

University of Moulay Ismail

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

This paper deals with the study of a SEIRI epidemic model with relapse and general incidence function. Using the next-generation matrix method, we have looked for the expression of the basic reproduction rate R₀ and analyzed the equilibria's existence and local stability. More precisely, we have established that the two equilibrium points are locally asymptotically stables. In addition, we have used three control functions to control the evolution of the proposed model. We have determined the optimal control by means of the Pontryagin's maximum principle. Also, some numerical simulations are given to illustrate the theoretical results.

Original language	English
Article number	103681
Journal	Results in Physics
Volume	20
DOIs	https://doi.org/10.1016/j.rinp.2020.103681
State	Published - Jan 2021

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Epidemic model
Equilibrium points
Incidence rate
Numerical analysis
Optimal control

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10.1016/j.rinp.2020.103681

Cite this

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title = "On analysis and optimal control of a SEIRI epidemic model with general incidence rate",

abstract = "This paper deals with the study of a SEIRI epidemic model with relapse and general incidence function. Using the next-generation matrix method, we have looked for the expression of the basic reproduction rate R0 and analyzed the equilibria's existence and local stability. More precisely, we have established that the two equilibrium points are locally asymptotically stables. In addition, we have used three control functions to control the evolution of the proposed model. We have determined the optimal control by means of the Pontryagin's maximum principle. Also, some numerical simulations are given to illustrate the theoretical results.",

keywords = "Epidemic model, Equilibrium points, Incidence rate, Numerical analysis, Optimal control",

author = "Hassan Aghdaoui and \{Lamrani Alaoui\}, Abdesslem and Nisar, \{Kottakkaran Sooppy\} and Mouhcine Tilioua",

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T1 - On analysis and optimal control of a SEIRI epidemic model with general incidence rate

AU - Aghdaoui, Hassan

AU - Lamrani Alaoui, Abdesslem

AU - Nisar, Kottakkaran Sooppy

AU - Tilioua, Mouhcine

PY - 2021/1

Y1 - 2021/1

N2 - This paper deals with the study of a SEIRI epidemic model with relapse and general incidence function. Using the next-generation matrix method, we have looked for the expression of the basic reproduction rate R0 and analyzed the equilibria's existence and local stability. More precisely, we have established that the two equilibrium points are locally asymptotically stables. In addition, we have used three control functions to control the evolution of the proposed model. We have determined the optimal control by means of the Pontryagin's maximum principle. Also, some numerical simulations are given to illustrate the theoretical results.

AB - This paper deals with the study of a SEIRI epidemic model with relapse and general incidence function. Using the next-generation matrix method, we have looked for the expression of the basic reproduction rate R0 and analyzed the equilibria's existence and local stability. More precisely, we have established that the two equilibrium points are locally asymptotically stables. In addition, we have used three control functions to control the evolution of the proposed model. We have determined the optimal control by means of the Pontryagin's maximum principle. Also, some numerical simulations are given to illustrate the theoretical results.

KW - Epidemic model

KW - Equilibrium points

KW - Incidence rate

KW - Numerical analysis

KW - Optimal control

UR - https://www.scopus.com/pages/publications/85099511534

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DO - 10.1016/j.rinp.2020.103681

M3 - Article

AN - SCOPUS:85099511534

SN - 2211-3797

VL - 20

JO - Results in Physics

JF - Results in Physics

M1 - 103681

ER -

On analysis and optimal control of a SEIRI epidemic model with general incidence rate

Abstract

UN SDGs

Keywords

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