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In epidemiology, the search for new behavior of infectious agents, processes, and
mechanisms of diffusion of infection of emerging infectious diseases caused by global warming
has 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 between
pre-contagious individuals (asymptomatic) and susceptible individuals, second between infectious
individuals (symptomatic) and susceptible individuals. This model characterizes the individual recovering from infection to develop a temporary immunity and then become susceptible again
after some time.
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