Existence of positive periodic solutions for a class of in-host MERS-CoV infection model with periodic coefficients

Tuersunjiang Keyoumu; Wanbiao Ma; Ke Guo; Tuersunjiang Keyoumu; Wanbiao Ma; Ke Guo

doi:10.3934/math.2022171

AIMS Mathematics

2022, Volume 7, Issue 2: 3083-3096. doi: 10.3934/math.2022171

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Research article

Existence of positive periodic solutions for a class of in-host MERS-CoV infection model with periodic coefficients

School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China

Received: 09 September 2021 Accepted: 31 October 2021 Published: 24 November 2021
MSC : 34C25, 92D30

In this paper, a dynamic model of Middle East Respiratory Syndrome Coronavirus (MERS-CoV) with periodic coefficients is proposed and studied. By using the continuation theorem of the coincidence degree theory, we obtain some sufficient conditions for the existence of positive periodic solutions of the model. The periodic model degenerates to an autonomous case, and our conditions can be degenerated to the basic reproductive number $ R_0 > 1 $. Finally, we give some numerical simulations to illustrate our main theoretical results.
- MERS-CoV,
- dipeptidyl peptidase 4 (DPP4),
- periodic model,
- coincidence degree,
- periodic solutions
Citation: Tuersunjiang Keyoumu, Wanbiao Ma, Ke Guo. Existence of positive periodic solutions for a class of in-host MERS-CoV infection model with periodic coefficients[J]. AIMS Mathematics, 2022, 7(2): 3083-3096. doi: 10.3934/math.2022171

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Abstract

In this paper, a dynamic model of Middle East Respiratory Syndrome Coronavirus (MERS-CoV) with periodic coefficients is proposed and studied. By using the continuation theorem of the coincidence degree theory, we obtain some sufficient conditions for the existence of positive periodic solutions of the model. The periodic model degenerates to an autonomous case, and our conditions can be degenerated to the basic reproductive number $ R_0 > 1 $. Finally, we give some numerical simulations to illustrate our main theoretical results.

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