Dynamical analysis of a complex competitive two-strain epidemic network model with vaccination

A. Abdelkhalek; A. H.Abdel Kader; I. L. El-Kalla; A. Elsaid; Amr Elsonbaty; K. S. Nisar

doi:10.1016/j.padiff.2024.101058

Dynamical analysis of a complex competitive two-strain epidemic network model with vaccination

A. Abdelkhalek, A. H.Abdel Kader, I. L. El-Kalla, A. Elsaid, Amr Elsonbaty, K. S. Nisar

Mathematics

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

Abstract

Developing accurate models to replicate epidemic transmission poses a significant challenge for researchers both now and in the foreseeable future. Therefore, this work proposes a new complex competitive two-strain epidemic network model that incorporates vaccination. We derive the mathematical model, compute the disease-free equilibrium point, and determine its stability conditions. The basic reproduction number is computed to determine the epidemic threshold. The stability regions in parameter space and the effects of vaccination parameters are obtained. The conditions for transcritical bifurcation are established, and the parameter analysis for this type of bifurcation is conducted. Numerical simulations of various scenarios with varying parameter values validate the theoretical analysis.

Original language	English
Article number	101058
Journal	Partial Differential Equations in Applied Mathematics
Volume	13
DOIs	https://doi.org/10.1016/j.padiff.2024.101058
State	Published - Mar 2025

Keywords

Basic reproduction number
Complex network
Pairwise epidemic model
Transcritical bifurcation
Two-strain

UN SDGs

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

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10.1016/j.padiff.2024.101058

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title = "Dynamical analysis of a complex competitive two-strain epidemic network model with vaccination",

abstract = "Developing accurate models to replicate epidemic transmission poses a significant challenge for researchers both now and in the foreseeable future. Therefore, this work proposes a new complex competitive two-strain epidemic network model that incorporates vaccination. We derive the mathematical model, compute the disease-free equilibrium point, and determine its stability conditions. The basic reproduction number is computed to determine the epidemic threshold. The stability regions in parameter space and the effects of vaccination parameters are obtained. The conditions for transcritical bifurcation are established, and the parameter analysis for this type of bifurcation is conducted. Numerical simulations of various scenarios with varying parameter values validate the theoretical analysis.",

keywords = "Basic reproduction number, Complex network, Pairwise epidemic model, Transcritical bifurcation, Two-strain",

author = "A. Abdelkhalek and Kader, \{A. H.Abdel\} and El-Kalla, \{I. L.\} and A. Elsaid and Amr Elsonbaty and Nisar, \{K. S.\}",

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T1 - Dynamical analysis of a complex competitive two-strain epidemic network model with vaccination

AU - Abdelkhalek, A.

AU - Kader, A. H.Abdel

AU - El-Kalla, I. L.

AU - Elsaid, A.

AU - Elsonbaty, Amr

AU - Nisar, K. S.

PY - 2025/3

Y1 - 2025/3

N2 - Developing accurate models to replicate epidemic transmission poses a significant challenge for researchers both now and in the foreseeable future. Therefore, this work proposes a new complex competitive two-strain epidemic network model that incorporates vaccination. We derive the mathematical model, compute the disease-free equilibrium point, and determine its stability conditions. The basic reproduction number is computed to determine the epidemic threshold. The stability regions in parameter space and the effects of vaccination parameters are obtained. The conditions for transcritical bifurcation are established, and the parameter analysis for this type of bifurcation is conducted. Numerical simulations of various scenarios with varying parameter values validate the theoretical analysis.

AB - Developing accurate models to replicate epidemic transmission poses a significant challenge for researchers both now and in the foreseeable future. Therefore, this work proposes a new complex competitive two-strain epidemic network model that incorporates vaccination. We derive the mathematical model, compute the disease-free equilibrium point, and determine its stability conditions. The basic reproduction number is computed to determine the epidemic threshold. The stability regions in parameter space and the effects of vaccination parameters are obtained. The conditions for transcritical bifurcation are established, and the parameter analysis for this type of bifurcation is conducted. Numerical simulations of various scenarios with varying parameter values validate the theoretical analysis.

KW - Basic reproduction number

KW - Complex network

KW - Pairwise epidemic model

KW - Transcritical bifurcation

KW - Two-strain

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DO - 10.1016/j.padiff.2024.101058

M3 - Article

AN - SCOPUS:85215105779

SN - 2666-8181

VL - 13

JO - Partial Differential Equations in Applied Mathematics

JF - Partial Differential Equations in Applied Mathematics

M1 - 101058

ER -

Dynamical analysis of a complex competitive two-strain epidemic network model with vaccination

Abstract

Keywords

UN SDGs

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