Global stability of a pseudorabies virus model with vertical transmission

被引：3

作者：

Long, Yuhua ^{[1
,2
]}

Chen, Yining ^{[1
,2
]}

机构：

[1] Guangzhou Univ, Coll Math & Informat Sci, Guangzhou 510006, Peoples R China

[2] Guangzhou Univ, Ctr Appl Math, Guangzhou 510006, Peoples R China

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2020年 / 17卷 / 05期

关键词：

pseudorabies virus model; basic reproduction number; equilibrium; global stability; EPIDEMIC MODEL; SEIR MODEL; DYNAMICS; SYSTEMS;

D O I：

10.3934/mbe.2020283

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Porcine pseudorabies infection is an acute infectious disease caused by pseudorabies virus. In this paper, we formulate a mathematical susceptible-incubating-infected-treated (SEIT) model with vertical transmission. The existence and stability of the equilibrium points of the model are characterized by the basic reproduction number R-0. When R-0 < 1, we show that the disease free equilibrium is unique and globally asymptotically stable. When R-0 > 1 and p(1) >= max{beta, b), using the Lyapunov function method and the theory of competitive system, we obtain the global asymptotical stability of a unique disease endemic equilibrium.

引用

页码：5234 / 5249

页数：16