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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. ...
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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 ...
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Permanence and global stability of a class of discrete epidemic models 

Muroya, Y.; Nakata, Y.; Izzo, G.; Vecchio, A. (2011-12-31)
In this paper we investigate the permanence of a system and give a sufficient condition for the endemic equilibrium to be globally asymptotically stable, which are the remaining problems in our previous paper (G. Izzo, Y. ...

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AuthorMuroya, Y. (3)Nakata, Y. (3)
Vecchio, A. (3)
Enatsu, Y. (2)Messina, E. (2)Russo, E. (2)Izzo, G. (1)Subject
Global asymptotic stability (3)
Lyapunov functional (2)Nonlinear incidence rate (2)Discrete epidemic model (1)Endemic equilibrium (1)Hopf bifurcation (1)Permanence (1)SIR epidemic model (1)SIRS epidemic model (1)... másFecha2012 (2)2011 (1)

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