Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative

By Muhammad Altaf Khan, Abdon Atangana. Alexandria Engineering Journal, 2020

637 citations recorded by the source corpus.

The present paper describes the mathematical modeling and dynamics of a novel corona virus (2019-nCoV). We describe the brief details of interaction among the bats and unknown hosts, then among the peoples and the infections reservoir (seafood market). The seafood marked are considered the main source of infection when the bats and the unknown hosts (may be wild animals) leaves the infection there. The purchasing of items from the seafood market by peoples have the ability to infect either asymptomatically or symptomatically. We reduced the model with the assumptions that the seafood market has enough source of infection that can be effective to infect people. We present the mathematical results of the model and then formulate a fractional model. We consider the available infection cases for January 21, 2020, till January 28, 2020 and parameterized the model. We compute the basic reproduction number for the data is R0≈2.4829. The fractional model is then solved numerically by presenting many graphical results, which can be helpful for the infection minimization.

Subfields: Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/96fafa0699cf424ed5150308caa3823d42a136d7

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Citations in the corpus

Mathematical model for spreading of COVID‐19 virus with the Mittag–Leffler kernel (2020, background): “Khan and Atangana [28] discussed the novel coronavirus (2019-nCov) with AB-derivative.”
A numerical approach for solving fractional optimal control problems with mittag-leffler kernel (2021, background): “Recently, many authors have modeled the dynamics of novel coronavirus (2019- nCov) with fractional derivative (see Ahmed et al., 2020; Hussain et al., 2020; Khan and Atangana, 2020).”
Numerical investigations on COVID‐19 model through singular and non‐singular fractional operators (2020, background): “In case of COVID-19, distinct mathematical systems have been established to study this newly epidemic [7, 14, 23, 46, 47, 49].”