Browsing Mathematical Modelling with Multidisciplinary Applications (M3A) by Author "Messina, E."
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Global dynamics of a delayed SIRS epidemic model with a wide class of nonlinear incidence rates
Enatsu, Y.; Messina, E.; Nakata, Y.; Muroya, Y.; Russo, E.; Vecchio, A. (2012-12-31)In this paper, by constructing Lyapunov functionals, we consider the global dynamics of an SIRS epidemic model with a wide class of nonlinear incidence rates and distributed delays ∫ h 0 p(τ)f(S(t),I(t- τ))dτ under the ... -
Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates
Enatsu, Y.; Messina, E.; Muroya, Y.; Nakata, Y.; Russo, E.; Vecchio, A. (2012-12-31)We analyze stability of equilibria for a delayed SIR epidemic model, in which population growth is subject to logistic growth in absence of disease, with a nonlinear incidence rate satisfying suitable monotonicity conditions. ...