Invariant measure of a stochastic hybrid predator–prey model with infected prey

Deng, Meiling; Fan, Yingbo

doi:10.1016/j.aml.2021.107670

Search citation statements

Order By: Relevance

Paper Sections

Select...

Stationary Distribution and Ergodicity1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

2023

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

(1 citation statement)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We also assume that λ is irreducible. As a consequence (Deng & Fan, 2022), λ admits a UESD that is denoted as

\sigma =\left({\sigma}_1,\dots, {\sigma}_J\right)

, and

\sigma \in {\mathbb{R}}_{+}^J=\left\{x\in {\mathbb{R}}^J|{x}_j>0,j=1,2\dots, J\right\}

solves the following equations:

\sigma A=0,\sum \limits_{j\in J}{\sigma}_j=1.

…”

Section: Stationary Distribution and Ergodicitymentioning

confidence: 99%

Stationary distribution and ergodicity of stochastic Wright's mutualism model with regime switching

2022

Stat

View full text Add to dashboard Cite

We formulate a stochastic Wright's mutualism model with regime switching in this paper. Under some conditions, we testify that the model admits a unique stationary distribution that is ergodic, and the transition probability of the solution of the model exponentially converges to the stationary distribution. Some recent results are extended and improved greatly. An example and several simulations are also provided to illustrate the theoretical findings.

show abstract

“…We also assume that λ is irreducible. As a consequence (Deng & Fan, 2022), λ admits a UESD that is denoted as