ArticleNonlinear dynamics2020
Dynamical analysis and control strategies of an SIVS epidemic model with imperfect vaccination on scale-free networks.
Article in Nonlinear dynamics, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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7 citing papers in PubMed.
- Global dynamics of two-strain epidemic model with single-strain vaccination in complex networks.Nonlinear analysis. Real world applications · 2023Article
- Dynamic stability and optimal control of SISChaos, solitons, and fractals · 2022Article
- Dynamics analysis and optimal control of SIVR epidemic model with incomplete immunity.Advances in continuous and discrete models · 2022Article
- A class of delay SIQR-V models considering quarantine and vaccination: Validation based on the COVID-19 perspective.Results in physics · 2021Article
- Vaccination control of an epidemic model with time delay and its application to COVID-19.Nonlinear dynamics · 2021Article
- The effect of behavior of wearing masks on epidemic dynamics.Nonlinear dynamics · 2020Article
- Investigating time, strength, and duration of measures in controlling the spread of COVID-19 using a networked meta-population model.Nonlinear dynamics · 2020Article
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3 authors.
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Abstract
Vaccination is an effective method to prevent the spread of infectious diseases. In this paper, we develop an SIVS epidemic model with degree-related transmission rates and imperfect vaccination on scale-free networks. Firstly, we derive two threshold parameters and existence conditions of multiple endemic equilibria. Secondly, not only the global asymptotical stability of disease-free equilibrium and the persistence of the disease are derived, but also the global attractivity of the unique endemic equilibrium is proved using the monotone iterative technique. Thirdly, the effects of various immunization schemes including uniform immunization, targeted immunization and acquaintance immunization are studied, and the optimal vaccination strategy is analyzed by Pontryagin's maximum principle. Finally, we perform numerical simulations to verify these theoretical results.
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