A Discrete dynamic system of mathematical model of coronavirus spread

Discrete dynamic system of mathematical model of coronavirus spread

Abstract

We study the discrete-time dynamical systems associated SIS (susceptible-infected-susceptible) and SIR(susceptible-infected-recovered) model of coronavirus spread. We describe all fixed points of the operator (which depends on two parameters) of SIS and SIR models and show that depending on the parameters this operator may have unique, two fixed points. Reproductive number R₀ as it relates to contact rate and infectious period. If R₀<1 then the number of patients is decreasing day by day, if R₀>1 then the number of patients increases and reaches a determined number.