A non-linear discrete-time dynamical system related to epidemic SISI model. (English) Zbl 1492.37089

Summary: We consider SISI epidemic model with discrete-time. The crucial point of this model is that an individual can be infected twice. This non-linear evolution operator depends on seven parameters and we assume that the population size under consideration is constant, so death rate is the same with birth rate per unit time. Reducing to quadratic stochastic operator (QSO) we study the dynamical system of the SISI model.


37N25 Dynamical systems in biology
39A60 Applications of difference equations
92D25 Population dynamics (general)
92D30 Epidemiology
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