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Time evolution of non-lethal infectious diseases: a semi-continuous approach
Authors:A. Noviello  F. Romeo  R. De Luca
Affiliation:(1) Dipartimento di Matematica ed Applicazioni “Renato Caccioppoli”, Università degli Studi di Napoli “Federico II” 80100 Napoli, Napoli, Italy;(2) Dipartimento di Fisica “E. R. Caianiello”, Università degli Studi di Salerno, 84081 Baronissi (SA), Italy;(3) INFM and DIIMA, Università degli Studi di Salerno, 84084 Fisciano (SA), Italy
Abstract:A model describing the dynamics related to the spreading of non-lethal infectious diseases in a fixed-size population is proposed. The model consists of a non-linear delay-differential equation describing the time evolution of the increment in the number of infectious individuals and depends upon a limited number of parameters. Predictions are in good qualitative agreement with data on influenza, which is taken to be a representative type of non-lethal infectious disease.
Keywords:87.23.Cc Population dynamics and ecological pattern formation
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