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

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.