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Now showing items 11-14 of 14
Global dynamics of a cell mediated immunity in viral infection models with distributed delays
(2011-12-31)
In this paper, we investigate global dynamics for a system of delay differential equations which describes a virus-immune interaction in vivo. The model has two distributed time delays describing time needed for infection ...
Permanence and global stability of a class of discrete epidemic models
(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. ...
Monotone iterative techniques to SIRS epidemic models with nonlinear incidence rates and distributed delays
(2011-12-31)
In this paper, for SIRS epidemic models with a class of nonlinear incidence rates and distributed delays of the forms βS(t)∫0hk(τ)G(I(t-τ) )dτ, we establish the global asymptotic stability of the disease-free equilibrium ...
Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments
(2010-12-31)
In this paper, a logistic equation with multiple piecewise constant arguments is investigated in detail. We generalize the approach in two papers, [K. Uesugi, Y. Muroya, E. Ishiwata, On the global attractivity for a logistic ...