ArticleComputational biology and chemistry2022
A global report on the dynamics of COVID-19 with quarantine and hospitalization: A fractional order model with non-local kernel.
Article in Computational biology and chemistry, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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6 citing papers in PubMed, 44 citations in OpenAlex.
- Fuzzy and fractional analysis of cancer tumor dynamics with depression effects on chemotherapy.Scientific reports · 2025Article
- Exploring optimal control strategies in a nonlinear fractional bi-susceptible model for Covid-19 dynamics using Atangana-Baleanu derivative.Scientific reports · 2024Article
- A stochastic approach for co-evolution process of virus and human immune system.Scientific reports · 2024Article
- On mathematical modelling of measles disease via collocation approach.AIMS public health · 2024Article
- Fractal fractional analysis of non linear electro osmotic flow with cadmium telluride nanoparticles.Scientific reports · 2022Article
- Comparative Dynamics of Delta and Omicron SARS-CoV-2 Variants across and between California and Mexico.Viruses · 2022Article
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Authors and funding
10 authors at 4 institutions in 5 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
In this paper, a compartmental mathematical model has been utilized to gain a better insight about the future dynamics of COVID-19. The total human population is divided into eight various compartments including susceptible, exposed, pre-asymptomatic, asymptomatic, symptomatic, quarantined, hospitalized and recovered or removed individuals. The problem was modeled in terms of highly nonlinear coupled system of classical order ordinary differential equations (ODEs) which was further generalized with the Atangana-Balaeanu (ABC) fractional derivative in Caputo sense with nonlocal kernel. Furthermore, some theoretical analyses have been done such as boundedness, positivity, existence and uniqueness of the considered. Disease-free and endemic equilibrium points were also assessed. The basic reproduction was calculated through next generation technique. Due to high risk of infection, in the present study, we have considered the reported cases from three continents namely Americas, Europe, and south-east Asia. The reported cases were considered between 1st May 2021 and 31st July 2021 and on the basis of this data, the spread of infection is predicted for the next 200 days. The graphical solution of the considered nonlinear fractional model was obtained via numerical scheme by implementing the MATLAB software. Based on the fitted values of parameters, the basic reproduction number ℜ
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