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Ma, Wanbiao; Song, Mei; Takeuchi, Y.

Global stability of an SIR epidemic model with time delay. (English) Zbl 1071.34082

Appl. Math. Lett. 17, No. 10, 1141-1145 (2004).
Here, the authors study an SIR epidemic model with time delay in the variable I (infected and infectious). They deal with the persistence of the system and derive lower limits for each population. They derive sufficient conditions for the global stability of the endemic (internal) equilibrium state. They find that the delay affects both persistence and global stability of the system.
Reviewer: E. Ahmed (Mansoura)

Cited in 96 Documents

MSC:

34K25 Asymptotic theory of functional-differential equations
34K20 Stability theory of functional-differential equations
92D30 Epidemiology
34K60 Qualitative investigation and simulation of models involving functional-differential equations

Keywords:

SIR epidemic model; time delay; global asymptotic stability
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\textit{W. Ma} et al., Appl. Math. Lett. 17, No. 10, 1141--1145 (2004; Zbl 1071.34082)
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References:

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