The threshold dynamics of a discrete-time echinococcosis transmission model

Cui-cui, LI; Zhou, Lin; Teng, Zhidong; Wen, Buyu

doi:10.3934/dcdsb.2020339

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Currently, there are various discretization methods to discretize a continuous model, including the standard methods, such as Euler method, Runge-Kutta method, some other standard and nonstandard finite difference scheme (see e.g. [6,7,11,[19][20][21][22][23]27]).…”

Section: Introductionmentioning

confidence: 99%

The stability of a stochastic discrete SIVS epidemic model with general nonlinear incidence

Wen

Teng

Liu

2022

NAMC

View full text Add to dashboard Cite

In this paper, based on Euler–Marryama method and theory of stochastic processes, a stochastic discrete SIVS epidemic model with general nonlinear incidence and vaccination is proposed by adding random perturbation and then discretizing the corresponding stochastic differential equation model. Firstly, the basic properties of continuous and discrete deterministic SIVS epidemic models are obtained. Then a criterion on the asymptotic mean-square stability of zero solution for a general linear stochastic difference system is established. As the applications of this criterion, the sufficient conditions on the stability in probability of the disease-free and endemic equilibria for the stochastic discrete SIVS epidemic model are obtained. The numerical simulations are given to illustrate the theoretical results.

show abstract