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Enatsu, Y., Nakata, Y. and Muroya, Y. (2012) Global Stability of SIRS Epidemic Models with a Class of Nonlinear Incidence Rates and Distributed Delays. Acta Mathematica Scientia, 32, 851-865.
https://doi.org/10.1016/S0252-9602(12)60066-6

has been cited by the following article:

• TITLE: The Analysis of a SEIRS Epidemic Model with Time Delay on Complex Networks

  AUTHORS: Jing Dong, Tao Li, Chen Wan, Xiongding Liu

  KEYWORDS: Epidemic Model, Complex Networks, Time Delay, Permanence, Stability

  JOURNAL NAME: Open Access Library Journal, Vol.4 No.9, September 14, 2017

  ABSTRACT: In this paper, a new epidemic SEIRS model with time delay on complex networks is proposed. Based on the mean field theory, the basic reproductive number and equilibriums of the model are derived. Moreover, the impact of the network topology and time delay on the basic reproductive number is analyzed. Theoretical analyses indicate that the basic reproductive number is dependent on the topology of the underlying networks. The time delay cannot change the basic reproductive number, but it can reduce the endemic level and weaken the epidemic spreading. The global asymptotically stability of the disease-free equilibrium and the permanence of epidemic are proved in detail. Numerical simulations confirm the analytical results.