Global dynamics of two-strain epidemic model with single-strain vaccination in complex networks

Contagious pathogens, such as influenza and COVID-19, are known to be represented by multiple genetic strains. Different genetic strains may have different characteristics, such as spreading more easily, causing more severe diseases, or even evading the immune response of the host. These facts compl...

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Bibliographic Details
Published in:Nonlinear analysis: real world applications 2023-02, Vol.69, p.103738-103738, Article 103738
Main Authors: Li, Chin-Lung, Cheng, Chang-Yuan, Li, Chun-Hsien
Format: Article
Language:English
Subjects:
Complex networks
Equilibrium
Persistence
Stability
Vaccination
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Summary:Contagious pathogens, such as influenza and COVID-19, are known to be represented by multiple genetic strains. Different genetic strains may have different characteristics, such as spreading more easily, causing more severe diseases, or even evading the immune response of the host. These facts complicate our ability to combat these diseases. There are many ways to prevent the spread of infectious diseases, and vaccination is the most effective. Thus, studying the impact of vaccines on the dynamics of a multi-strain model is crucial. Moreover, the notion of complex networks is commonly used to describe the social contacts that should be of particular concern in epidemic dynamics. In this paper, we investigate a two-strain epidemic model using a single-strain vaccine in complex networks. We first derive two threshold quantities, R1 and R2, for each strain. Then, by using the basic tools for stability analysis in dynamical systems (i.e., Lyapunov function method and LaSalle’s invariance principle), we prove that if R1
ISSN:1468-1218
1878-5719
1468-1218
DOI:10.1016/j.nonrwa.2022.103738