ArticleResults in physics2021
A fractional order SITR mathematical model for forecasting of transmission of COVID-19 of India with lockdown effect.
Article in Results in physics, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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8 citing papers in PubMed.
- Fractional study of the Covid-19 model with different types of transmissions.Kuwait journal of science · 2023Article
- Global stability and analysing the sensitivity of parameters of a multiple-susceptible population model of SARS-CoV-2 emphasising vaccination drive.Mathematics and computers in simulation · 2023Article
- Mathematical Analysis of Two Waves of COVID-19 Disease with Impact of Vaccination as Optimal Control.Computational and mathematical methods in medicine · 2022Article
- A new mathematical model of multi-faced COVID-19 formulated by fractional derivative chains.Advances in continuous and discrete models · 2022Article
- Stability Analysis of an Extended SEIR COVID-19 Fractional Model with Vaccination Efficiency.Computational and mathematical methods in medicine · 2022Article
- The global stability investigation of the mathematical design of a fractional-order HBV infection.Journal of applied mathematics & computing · 2022Article
- Dynamical analysis of novel COVID-19 epidemic model with non-monotonic incidence function.Journal of public affairs · 2021Article
- Socio-demographic and health factors drive the epidemic progression and should guide vaccination strategies for best COVID-19 containment.Results in physics · 2021Article
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5 authors.
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Abstract
In this paper, we consider a mathematical model to explain, understanding, and to forecast the outbreaks of COVID-19 in India. The model has four components leading to a system of fractional order differential equations incorporating the refuge concept to study the lockdown effect in controlling COVID-19 spread in India. We investigate the model using the concept of Caputo fractional-order derivative. The goal of this model is to estimate the number of total infected, active cases, deaths, as well as recoveries from COVID-19 to control or minimize the above issues in India. The existence, uniqueness, non-negativity, and boundedness of the solutions are established. In addition, the local and global asymptotic stability of the equilibrium points of the fractional-order system and the basic reproduction number are studied for understanding and prediction of the transmission of COVID-19 in India. The next step is to carry out sensitivity analysis to find out which parameter is the most dominant to affect the disease's endemicity. The results reveal that the parameters
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