ArticleMathematics and computers in simulation2022
Mathematical modelling of COVID-19: A case study of Italy.
Article in Mathematics and computers in simulation, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Stochastic analysis of a COVID-19 model with effects of vaccination and different transition rates: Real data approach.Chaos, solitons, and fractals · 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
- Can infectious modelling be applicable globally - lessons from COVID 19.Current opinion in environmental science & health · 2022Review
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Authors and funding
4 authors.
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Abstract
This manuscript describes a mathematical epidemiological model of COVID-19 to investigate the dynamics of this pandemic disease and we have fitted this model to the current COVID-19 cases in Italy. We have obtained the basic reproduction number which plays a crucial role on the stability of disease free equilibrium point. Backward bifurcation with respect to the cure rate of treatment occurs conditionally. It is clear from the sensitivity analysis that the developments of self immunities with proper maintaining of social distancing of the exposed and asymptomatic individuals play key role for controlling the disease. We have validated the model by considering the COVID-19 cases of Italy and the future situations of epidemicity in Italy have been predicted from the model. We have estimated the basic reproduction number for the COVID-19 outbreak in Italy and effective reproduction number has also been studied. Finally, an optimal control model has been formulated and solved to realize the positive impacts of adapting lock down by many countries for maintaining social distancing.
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