In epidemiology, the search for new behavior of infectious agents, processes, andmechanisms of diffusion of infection of emerging infectious diseases caused by global warminghas already led to tangible results. This paper proposes a dynamic endemic model Susceptible,Exposed, Precontaged, Infected, Retired, Susceptible (SEPIRS). This model is specialized in epidemics that persist for a long time and in cases where the infection spreads directly: first betweenpre-contagious individuals (asymptomatic) and susceptible individuals, second between infectiousindividuals (symptomatic) and susceptible individuals. This model characterizes the individual recovering from infection to develop a temporary immunity and then become susceptible againafter some time.
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