Persistence in infinite-dimensional systems
SIAM Journal on Mathematical Analysis
Convergence results in SIR epidemic models with varying population sizes
Nonlinear Analysis: Theory, Methods & Applications
Journal of Computational and Applied Mathematics
Dynamics of a discretized SIR epidemic model with pulse vaccination and time delay
Journal of Computational and Applied Mathematics
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In this paper, we consider the permanence of a modified delayed SIR epidemic model with density dependent birth rate which is proposed in [M. Song, W. Ma, Asymptotic properties of a revised SIR epidemic model with density dependent birth rate and time delay, Dynamic of Continuous, Discrete and Impulsive Systems, 13 (2006) 199-208]. It is shown that global dynamic property of the modified delayed SIR epidemic model is very similar as that of the model in [W. Ma, Y. Takeuchi, T. Hara, E. Beretta, Permanence of an SIR epidemic model with distributed time delays, Tohoku Math. J. 54 (2002) 581-591; W. Ma, M. Song, Y. Takeuchi, Global stability of an SIR epidemic model with time delay, Appl. Math. Lett. 17 (2004) 1141-1145].