healthy-infected predator-prey models, a case study of covid-19 infection rate

Since the first case of a novel coronavirus, called covid-19, was foundin wuhan, china, in december 2019, the number of cases rapidly increased and spreadto various urban areas in china as well as to many different countries in the world.the number of confirmed cases is proliferating on a daily basis and has been declared apandemic lately. in this paper a new delayed healthy- infected model is investigated toanalyze the covid-19 epidemic. the global analysis of the model as well as boundednessand permanence properties are examined. then we analyze the effect of time delayon the stabilization of the equilibria, i.e., we study whether time delay could change thestability of a co-existence point from an unstable mood to a stable one. the system undergoesa hopf bifurcation when it passes a critical time delay. finally, some numericalsimulations are performed to support our analytic results.