2022
DOI: 10.1140/epjs/s11734-022-00534-5
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The modeling and analysis of the COVID-19 pandemic with vaccination and treatment control: a case study of Maharashtra, Delhi, Uttarakhand, Sikkim, and Russia in the light of pharmaceutical and non-pharmaceutical approaches

Abstract: Nonlinear dynamics is an exciting approach to describe the dynamical practices of COVID-19 disease. Mathematical modeling is a necessary method for investigating the dynamics of epidemic diseases. In the current article, an effort has been made to cultivate a novel COVID-19 compartment mathematical model by incorporating vaccinated populations. Primarily, the fundamental characteristics of the model, such as positivity and boundedness of solutions, are established. Thereafter, equilibrium analysis of steady st… Show more

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Cited by 13 publications
(8 citation statements)
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“…Natiq and Saha implemented a non-linear dynamical model by combining of susceptible infected and recovered (SIR) model and Lotka-Volterra model to identify the virus transmission between the various species [58]. The researchers are also focused on mathematical models, non-linear dynamic models, and prediction models to determine the seriousness of the virus, how the vaccination is distributed to the people, how vaccination gives immunity to the human body, and the death rate in various countries [59][60][61][62][63].…”
Section: Background Workmentioning
confidence: 99%
See 2 more Smart Citations
“…Natiq and Saha implemented a non-linear dynamical model by combining of susceptible infected and recovered (SIR) model and Lotka-Volterra model to identify the virus transmission between the various species [58]. The researchers are also focused on mathematical models, non-linear dynamic models, and prediction models to determine the seriousness of the virus, how the vaccination is distributed to the people, how vaccination gives immunity to the human body, and the death rate in various countries [59][60][61][62][63].…”
Section: Background Workmentioning
confidence: 99%
“…The researchers and scientists are focused on various physics models to estimate the risk factors in different waves and analysis of how the SARS-CoV-2/COVID-19 is spreading between different species. The researchers are also focused on mathematical models, non-linear dynamic models, and prediction models to identify the seriousness of the virus, how the vaccination is distributed to the people, how vaccination gives immunity to our body, and the death rate in various countries [ 59 63 ].…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…The solutions of such models provide a perspective of the development of an epidemic under various constraints and active measures. For example, for the COVID-19, various extensions have been developed to estimate the numbers of infected, hospitalized, or casualties under different scenarios of the epidemic [9][10][11][12][13][14][15]. Common feature of these models is the Markovian assumption, which technically means that the transitions from one state of the disease to another, or the related infectiousness of the individuals, are independent on the past.…”
Section: Introductionmentioning
confidence: 99%
“…They examined that the non-pharmaceutical interventions are useful to reduce COVID-19 transmission in the public. Rana and Sharma ( 2022 ) lightened the effect of non-pharmaceutical and pharmaceutical interventions on the COVID-19 pandemic for the regions Delhi, Maharashtra, Sikkim, Uttarakhand, and Russia. Gowrisankar et al ( 2022 ) investigated and compared the effects of the omicron variant of COVID-19 for the seven most affected countries.…”
Section: Introductionmentioning
confidence: 99%