Francesco Calogero, Andrea Giansanti, Farrin Payandeh
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EXPLICIT SOLUTIONS OF AN EPIDEMIOLOGICAL MODEL OF THE SIR TYPE
A system of 4 nonlinearly-coupled Ordinary Differential Equations has been recently introduced to investigate the evolution of human respiratory virus epidemics. In this paper we prove that some explicit solutions of that system can be obtained by algebraic operations, provided the parameters of the model satisfy certain constraints.