Global stability of a delayed SIRS model with stage structure and temporary immunity
This paper addresses a time-delayed SIRS model with stage structure, where the period of infection is partitioned into two stages: the early and later stages. Immunity gained by experiencing the disease is temporary; whenever infected, the disease individuals will return to the susceptible class after a fixed period of time. First, the local and global stabilities of the infection-free equilibrium are analyzed, respectively. Second, the endemic equilibrium is formulated, and the sufficient conditions for its locally asymptotic stability are found. Finally, by using a Lyapunov functional, a sufficient criterion for the global stability of the endemic equilibrium is established.
temporary immunity stage structure stability
Junfeng Wang Yakui Xue
Department of Mathematic,North University of China. 030051
国际会议
The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)
南京
英文
1386-1391
2011-06-01（万方平台首次上网日期，不代表论文的发表时间）