Multigroup deterministic and stochastic SEIRI epidemic models with nonlinear incidence rates and distributed delays: A stability analysis

被引：8

作者：

Zhang, Hong ^{[1
]}

Xia, Juan ^{[1
]}

Georgescu, Paul ^{[2
]}

机构：

[1] Jiangsu Univ, Dept Financial Math, Zhenjiang 212013, Peoples R China

[2] Tech Univ Iasi, Dept Math, Bd Copou 11A, Iasi 700506, Romania

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 18期

关键词：

delay differential equations; disease propagation; disease relapse; Lyapunov stability; multigroup model; nonlinear incidence; GLOBAL DYNAMICS; TRANSMISSION; PERSISTENCE; INFECTION; THRESHOLD; BEHAVIOR; DISEASES; LATENCY;

D O I：

10.1002/mma.4453

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the dynamics of amultigroup disease propagation model with distributed delays and nonlinear incidence rates, which accounts for the relapse of recovered individuals. The main concern is the stability of the equilibria, sufficient conditions for global stability being obtained by applying Lyapunov-LaSalle invariance principle and using Lyapunov functionals, which are constructed using their single-group counterparts. The situation in which the deterministic model is subject to perturbations of white noise type is also investigated from a stability viewpoint.

引用

页码：6254 / 6275

页数：22

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