Browsing by Subject "global asymptotic stability"

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Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates

Enatsu, Y.; Nakata, Y.; Muroya, Y.; Izzo, G.; Vecchio, A. (2012-12-31)

In this paper, by applying a variation of the backward Euler method, we propose a discrete-time SIR epidemic model whose discretization scheme preserves the global asymptotic stability of equilibria for a class of corresponding ...
Global stability for a discrete SIS epidemic model with immigration of infectives

Enatsu, Y.; Nakata, Y.; Muroya, Y. (2012-12-31)

In this paper, we propose a discrete-time SIS epidemic model which is derived from continuous-time SIS epidemic models with immigration of infectives by the backward Euler method. For the discretized model, by applying new ...
Two types of condition for the global stability of delayed sis epidemic models with nonlinear birth rate and disease induced death rate

Nakata, Y.; Enatsu, Y.; Muroya, Y. (2012-12-31)

We study global asymptotic stability for an SIS epidemic model with maturation delay proposed by K. Cooke, P. van den Driessche and X. Zou, Interaction of maturation delay and nonlinear birth in population and epidemic ...