Dynamics of a Stochastic Epidemic Model with Vaccination and General Incidence Rate

被引：0

作者：

Toan, Nguyen Duc ^{[1
]}

Dieu, Nguyen Thanh ^{[1
]}

Du, Nguyen Huu ^{[2
]}

Dung, Le Ba ^{[2
]}

机构：

[1] Vinh Univ, Dept Math, 182 Le Duan, Vinh, Nghe An, Vietnam

[2] Vietnam Natl Univ, Hanoi Univ Sci, Dept Math Mech & Informat, 334 Nguyen Trai, Hanoi, Vietnam

来源：

VIETNAM JOURNAL OF MATHEMATICS | 2024年

关键词：

SIVS epidemic model; Extinction; Strongly stochastically permanent; Disease; ASYMPTOTIC-BEHAVIOR; CLASSIFICATION; STABILITY; THRESHOLD;

D O I：

10.1007/s10013-024-00698-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the dynamics of the spread of infectious diseases for a stochastic SIVS (Susceptible - Infected - Vaccinated - Susceptible) epidemic model perturbed by white noise with general incidence rate. By constructing a threshold lambda via parameters of the model, we can give conditions to determine whenever the disease is extinct or permanent. Precisely, it is proved that lambda < 0 implies the disease-free point (S-*; 0; V-*) to be exponentially stable, i.e., the disease will eventually disappear with an exponential rate meanwhile lambda > 0 shows that the epidemic exists permanently in the population.

引用

页数：16