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The asymptotic analysis of novel coronavirus disease via fractional-order epidemiological model

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dc.contributor.author Khan T.
dc.contributor.author Ahmad S.
dc.contributor.author Ullah R.
dc.contributor.author Bonyah E.
dc.contributor.author Ansari K.J.
dc.date.accessioned 2022-10-31T15:05:02Z
dc.date.available 2022-10-31T15:05:02Z
dc.date.issued 2022
dc.identifier.issn 21583226
dc.identifier.other 10.1063/5.0087253
dc.identifier.uri http://41.74.91.244:8080/handle/123456789/182
dc.description Khan, T., Department of Mathematics and Statistics, Woman University, Khyber Pakhtunkhwa, Swabi, Pakistan; Ahmad, S., Department of Mathematics, University of Malakand, Dir Lower, Khyber Pakhtunkhawa, Chakdara, Pakistan; Ullah, R., Department of Mathematics and Statistics, Woman University, Khyber Pakhtunkhwa, Swabi, Pakistan; Bonyah, E., Department of Mathematics Education, University of Education Winneba Kumasi-(Kumasicompus), Kumasi, 00233, Ghana; Ansari, K.J., Department of Mathematics, College of Science, King Khalid University, Abha, 61413, Saudi Arabia en_US
dc.description.abstract We develop a model and investigate the temporal dynamics of the transmission of the novel coronavirus. The main sources of the coronavirus disease were bats and unknown hosts, which left the infection in the seafood market and became the major cause of the spread among the population. Evidence shows that the infection spiked due to the interaction between humans. Hence, the formulation of the model proposed in this study is based on human-to-human and reservoir-to-human interaction. We formulate the model by keeping in view the esthetic of the novel disease. We then fractionalize it with the application of fractional calculus. Particularly, we will use the Caputo-Fabrizio operator for fractionalization. We analyze the existence and uniqueness of the well-known fixed point theory. Moreover, it will be proven that the considered model is biologically and mathematically feasible. We also calculate the threshold quantity (reproductive number) to discuss steady states and to show that the particular epidemic model is stable asymptotically under some restrictions. We also discuss the sensitivity analysis of the threshold quantity to find the relative impact of every epidemic parameter on the transmission of the coronavirus disease. Both the global and local properties of the proposed model will be analyzed for the developed model using the mean value theorem, Barbalat's lemma, and linearization. We also performed some numerical simulations to verify the theoretical work via some graphical representations. � 2022 Author(s). en_US
dc.publisher American Institute of Physics Inc. en_US
dc.title The asymptotic analysis of novel coronavirus disease via fractional-order epidemiological model en_US
dc.type Article en_US


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