Title :
Stability analysis of a stage-structured SIR model with time delay
Author :
Deng, Fengru ; Jiang, Zhichao
Author_Institution :
Fundamental Sci. Dept., North China Inst. of Astronaut. Eng., Langfang, China
Abstract :
In this paper, we considered a SIR infectious disease model with two stages, immature and mature, with the time to maturity represented by a constant time delay. We obtain positivity and boundedness of solutions and analyze the equilibria and their stability properties.
Keywords :
delays; diseases; medical control systems; stability; SIR infectious disease model; equilibrium property; immature SIR model; mature SIR model; maturity time; stability analysis; stability property; time delay;
Conference_Titel :
Computer Application and System Modeling (ICCASM), 2010 International Conference on
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4244-7235-2
Electronic_ISBN :
978-1-4244-7237-6
DOI :
10.1109/ICCASM.2010.5620723
