STABILITY OF A STOCHASTIC SEIS MODEL WITH SATURATION INCIDENCE AND LATENT PERIOD

被引：4

作者：

Ji, Xuehui ^{[1
,2
]}

Yuan, Sanling ^{[2
]}

Li, Jiao ^{[2
]}

机构：

[1] Univ Shanghai Sci & Technol, Sch Management, 516 Jungong Rd, Shanghai 200093, Peoples R China

[2] Univ Shanghai Sci & Technol, Coll Sci, 516 Jungong Rd, Shanghai 200093, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2017年 / 7卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Stochastic SEIS model; time delay; Lyapunov functional; It(o)over-cap's formula; stochastic stability; SIS EPIDEMIC MODEL; NONLINEAR INCIDENCE RATES; GLOBAL STABILITY; DYNAMICS; BEHAVIOR; VACCINATION; THRESHOLD; DISEASES;

D O I：

10.11918/2017101

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a stochastic SEIS epidemic model with a saturation incidence rate and a time delay describing the latent period of the disease is investigated. The model inherits the endemic steady state from its corresponding deterministic counterpart. We first show the existence and uniqueness of the global positive solution of the model. Then, by constructing Lyapunov functionals, we derive sufficient conditions ensuring the stochastic stability of the endemic steady state. Numerical simulations are carried out to confirm our analytical results. Furthermore, our simulation results shows that the existence of noise and delay may cause the endemic steady state to be unstable.

引用

页码：1652 / 1673

页数：22

共 50 条

[41] Global stability and Hopf bifurcation of an HIV-1 infection model with saturation incidence and delayed CTL immune response
Tian, Xiaohong
Xu, Rui
APPLIED MATHEMATICS AND COMPUTATION, 2014, 237 : 146 - 154
[42] Dynamics of a delayed stochastic epidemic model with double epidemic hypothesis and saturated incidence
Li, Hengqian
Guo, Xiurong
COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING, 2023, 26 (11) : 1250 - 1271
[43] Hopf bifurcation analysis of a delayed SEIR epidemic model with infectious force in latent and infected period
Sirijampa, Aekabut
Chinviriyasit, Settapat
Chinviriyasit, Wirawan
ADVANCES IN DIFFERENCE EQUATIONS, 2018,
[44] Threshold Dynamics of an SEIS Epidemic Model with Nonlinear Incidence Rates
Naim, Mouhcine
Lahmidi, Fouad
Namir, Abdelwahed
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2024, 32 (02) : 505 - 518
[45] Stability and bifurcation for an SEIS epidemic model with the impact of media
Huo, Hai-Feng
Yang, Peng
Xiang, Hong
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 490 : 702 - 720
[46] Stability of an SEIS epidemic model with constant recruitment and a varying total population size
Junjie C.
Xiangguan L.
Applied Mathematics-A Journal of Chinese Universities, 2006, 21 (1) : 1 - 8
[47] STABILITY AND BIFURCATION ANALYSIS FOR AN EPIDEMIC MODEL WITH VACCINATION AND NONLINEAR INCIDENCE RATE
Zhou, Xueyong
APPLIED AND COMPUTATIONAL MATHEMATICS, 2019, 18 (01) : 22 - 40
[48] STABILITY OF AN SEIS EPIDEMIC MODEL WITH CONSTANT RECRUITMENT AND A VARYING TOTAL POPULATION SIZE
Chen Junjie Liu Xiangguan Dept. of Math.
Applied Mathematics A Journal of Chinese Universities(Series B), 2006, (01) : 1 - 8
[49] The stability of an SEIRS model with nonlinear incidence, vertical transmission and time delay
Qi, Longxing
Cui, Jing-an
APPLIED MATHEMATICS AND COMPUTATION, 2013, 221 : 360 - 366
[50] Stability and Hopf Bifurcation Analysis of an HIV Infection Model with Saturation Incidence and Two Time Delays
Miao, Hui
Kang, Chengjun
ENGINEERING LETTERS, 2019, 27 (01) : 9 - 17

← 1 2 3 4 5 →