Permanence of a delayed SIR epidemic model with density dependent birth rate

By Mei Song, Wanbiao Ma, Yasuhiro Takeuchi. 2007

50 citations recorded by the source corpus.

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].

Subfields: Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/8e7573f8ba554c607eff72522e17d2a65fefc87a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Modeling and Simulation

1. Qingshan Yang
2. Xuerong Mao
3. Gul Zaman
4. Ke Wang

In Public Health, Environmental and Occupational Health

1. Qingshan Yang
2. Xuerong Mao
3. Ke Wang
4. Meng Liu
5. Chenggui Yuan

Citations in the corpus

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• Extinction and recurrence of multi-group SEIR epidemic (2013, background): “There is an intensive literature on the mathematical epidemiology, for examples, [5, 6, 7, 9, 10, 13, 14, 23, 24, 25, 31, 37, 38, 39, 40, 45, 46, 47, 48, 49, 50, 51, 53] and the references therein.”