Dynamic of a two-strain COVID-19 model with vaccination

Tchoumi, S.Y.; Rwezaura, H.; Tchuenche, Jean M.

doi:10.1016/j.rinp.2022.105777

Cited by 24 publications

(8 citation statements)

References 58 publications

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“…The research by 10 models COVID-19’s transmission with a focus on variant dynamics and vaccine impact, while 11 assesses the influence of variants in France using optimization for parameter estimation. The study in 12 introduces a fractional model for two COVID-19 strains, and 1 explores the impact of multiple strains on pandemic trajectories and vaccine efficacy.…”

Section: Discussionmentioning

confidence: 99%

“…A research develops a two-strain COVID-19 transmission model addressing the emergence of variants with different transmission dynamics and analyzing the impact of vaccination on one of the strains. It provides a theoretical framework with sufficient conditions for equilibrium stability, calculating the basic reproduction numbers and exploring scenarios for dominant strain establishment 10 . The competition between different SARS-CoV-2 variants in France using a mathematical model to estimate the impact of three variants on the spread of COVID-19, employing data from Geodes and a particle swarm optimization algorithm to estimate the basic reproduction number can be seen in 11 .…”

Section: Introductionmentioning

confidence: 99%

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A stochastic approach for co-evolution process of virus and human immune system

Ain,

Shen,

et al. 2024

Sci Rep

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Infectious diseases have long been a shaping force in human history, necessitating a comprehensive understanding of their dynamics. This study introduces a co-evolution model that integrates both epidemiological and evolutionary dynamics. Utilizing a system of differential equations, the model represents the interactions among susceptible, infected, and recovered populations for both ancestral and evolved viral strains. Methodologically rigorous, the model’s existence and uniqueness have been verified, and it accommodates both deterministic and stochastic cases. A myriad of graphical techniques have been employed to elucidate the model’s dynamics. Beyond its theoretical contributions, this model serves as a critical instrument for public health strategy, particularly predicting future outbreaks in scenarios where viral mutations compromise existing interventions.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A stochastic approach for co-evolution process of virus and human immune system

Ain,

Shen,

et al. 2024

Sci Rep

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“…Additionally, they determined the lowest percentage of the fully vaccinated population required, along with other intervention strategies, to effectively reduce the spread of the variants and mitigate the multi-strain pandemic. Tchoumi et al [ 39 ] developed a mathematical model to analyze the transmission dynamics of COVID-19, considering different strains and vaccination effects. The model demonstrated stability and identified the conditions for strain persistence and dominance.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of SARS-CoV-2 Transmission between Minks and Humans Considering New Variants and Mink Culling

Ibrahim

Dénes

2023

TropicalMed

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We formulated and studied mathematical models to investigate control strategies for the outbreak of the disease caused by SARS-CoV-2, considering the transmission between humans and minks. Two novel models, namely SEIR and SVEIR, are proposed to incorporate human-to-human, human-to-mink, and mink-to-human transmission. We derive formulas for the reproduction number R0 for both models using the next-generation matrix technique. We fitted our model to the daily number of COVID-19-infected cases among humans in Denmark as an example, and using the best-fit parameters, we calculated the values of R0 to be 1.58432 and 1.71852 for the two-strain and single-strain models, respectively. Numerical simulations are conducted to investigate the impact of control measures, such as mink culling or vaccination strategies, on the number of infected cases in both humans and minks. Additionally, we investigated the possibility of the mutated virus in minks being transmitted to humans. Our results indicate that to control the disease and spread of SARS-CoV-2 mutant strains among humans and minks, we must minimize the transmission and contact rates between mink farmers and other humans by quarantining such individuals. In order to reduce the virus mutation rate in minks, culling or vaccination strategies for infected mink farms must also be implemented. These measures are essential in managing the spread of SARS-CoV-2 and its variants, protecting public health, and mitigating the potential risks associated with human-to-mink transmission.

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“…There are lots of mathematical models to evaluate the transmission dynamics of COVID-19 [17] , [6] , [18] , [19] , [20] , [21] , [22] , [16] , [23] , [24] and so on. But there are only a few mathematical models to describe the behavior of the COVID-19 wild strain in the presence of its variants of concern [25] , [26] , [27] , [28] . Model in [25] considered multiple strains with optimal control theory and waning of immunity.…”

Section: Introductionmentioning

confidence: 99%