Global Stability of a Nonlocal Epidemic Model with Delay

被引：3

作者：

Zhang, Liang ^{[1
]}

Sun, Jian-Wen ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2016年 / 20卷 / 03期

关键词：

Steady state; Disease-free equilibrium; Global stability; Lyapunov functional; REACTION-DIFFUSION SYSTEMS; EQUATIONS; DYNAMICS;

D O I：

10.11650/tjm.20.2016.6291

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we investigate the nonlocal time-delayed and reaction-diffusion epidemic model studied by Guo et al. [Z. Guo, F. Wang and X. Zou, Threshold dynamics of an infective disease model with a fixed latent period and non-local infections, J. Math. Biol. 65 (2012) 1387-410]. In the case that the coefficients are independent of the spatial variable, we obtain the global stability of the disease-free equilibrium and the unique endemic equilibrium, which partially answers the open problem proposed by Guo et al.

引用

页码：577 / 587

页数：11

共 50 条

[31] MINIMAL WAVE SPEED OF A NONLOCAL DIFFUSIVE EPIDEMIC MODEL WITH TEMPORAL DELAY
Zhang, Guosheng
Wang, Yifu
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2014, 44 (01) : 329 - 348
[32] Global proprieties of an SIR epidemic model with nonlocal diffusion and immigration
Zeb, Anwar
Djilali, Salih
Saeed, Tareq
Alhodaly, Mohammed Sh.
Gul, Nadia
[J]. RESULTS IN PHYSICS, 2022, 39
[33] Minimal wave speed of a diffusive SIR epidemic model with nonlocal delay
Wu, Fuzhen
Li, Dongfeng
[J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2019, 12 (07)
[34] Stability analysis of a nonlocal SIHRDP epidemic model with memory effects
Lu, Zhenzhen
Yu, Yongguang
Chen, YangQuan
Ren, Guojian
Xu, Conghui
Wang, Shuhui
[J]. NONLINEAR DYNAMICS, 2022, 109 (01) : 121 - 141
[35] Stability analysis of a nonlocal SIHRDP epidemic model with memory effects
Zhenzhen Lu
Yongguang Yu
YangQuan Chen
Guojian Ren
Conghui Xu
Shuhui Wang
[J]. Nonlinear Dynamics, 2022, 109 : 121 - 141
[36] Global behaviour of an SIR epidemic model with time delay
Tchuenche, Jean M.
Nwagwo, Alexander
Levins, Richard
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2007, 30 (06) : 733 - 749
[37] Delay-independent Stability of an SIR Epidemic Model with Time Delay
Song, Mei
Liu, Guangchen
Li, Zhaohui
Wu, Haiyan
[J]. PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 389 - 392
[38] THE GLOBAL STABILITY OF A DIFFERENTIAL DELAY MODEL
李林
[J]. Annals of Applied Mathematics, 2002, (03) : 226 - 234
[39] Global stability of an sirs epidemic model with delays
Zhen, J
Ma, Z
Han, M
[J]. ACTA MATHEMATICA SCIENTIA, 2006, 26 (02) : 291 - 306
[40] Global stability of an SEIR epidemic model with vaccination
Wang, Lili
Xu, Rui
[J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2016, 9 (06)

← 1 2 3 4 5 →