Title :
Asymptotic Analysis of Nonlinear SEIS Differential-Integral Equation Model
Author :
Wenxiong, Xu ; Tailei, Zhang ; Zongben, Xu
Author_Institution :
Xi´´an Jiaotong Univ., Xian
Abstract :
In this paper, a SEIS epidemic model with infection-age and nonlinear contact rate is studied, and the basic reproductive number which determines whether the disease dies out or persists is found. Further, the asymptotic stability of each equilibrium point is discussed, which extends the results of some related models.
Keywords :
diseases; integro-differential equations; nonlinear differential equations; SEIS epidemic model; asymptotic analysis; asymptotic stability; nonlinear contact rate; nonlinear differential-integral equation; Asymptotic stability; Computational intelligence; Differential equations; Diseases; Electronic mail; Mathematical model; Nonlinear equations; Propagation losses; Security; Uncertainty;
Conference_Titel :
Computational Intelligence and Security Workshops, 2007. CISW 2007. International Conference on
Conference_Location :
Heilongjiang
Print_ISBN :
978-0-7695-3073-4
DOI :
10.1109/CISW.2007.4425456
