ArticleMathematical methods in the applied sciences2022
A case study of 2019-nCoV in Russia using integer and fractional order derivatives.
Article in Mathematical methods in the applied sciences, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- Mathematical analysis of fractional Chlamydia pandemic model.Scientific reports · 2024Article
- A case study of 2019-nCoV in Russia using integer and fractional order derivatives.Mathematical methods in the applied sciences · 2022Article
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Abstract
In this article, we define a mathematical model to analyze the outbreaks of the most deadly disease of the decade named 2019-nCoV by using integer and fractional order derivatives. For the case study, the real data of Russia is taken to perform novel parameter estimation by using the Trust Region Reflective (TRR) algorithm. First, we define an integer order model and then generalize it by using fractional derivatives. A novel optimal control problem is derived to see the impact of possible preventive measures against the spread of 2019-nCoV. We implement the forward-backward sweep method to numerically solve our proposed model and control problem. A number of graphs have been plotted to see the impact of the proposed control practically. The Russian data-based parameter estimation along with the proposal of a mathematical model in the sense of Caputo fractional derivative that contains the memory term in the system are the main novel features of this study.
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