Persistence and extinction in stochastic delay Logistic equation by incorporating Ornstein-Uhlenbeck process

Tawfiqullah Ayoubi and Haibo Bao

Applied Mathematics and Computation, 2020, vol. 386, issue C

Abstract: The persistence and extinction (PE) are interesting topics in mathematics. This research analyzed PE of stochastic Logistic equations (SLE) by incorporating the Ornstein-Uhlenbeck process (SLOP) and stochastic delay Logistic equation (SDLE) by incorporating the Ornstein-Uhlenbeck process (SLDOP). Firstly, we proved that SLOP and SLDOP have positive solutions. Likewise, for stochastic permanence (SP), weak persistence in the mean (WPM), non-persistence in the mean (NPM) and extinction, the sufficient conditions are established for SLOP and SLDOP. Subsequently, for numerical simulation we used 4-stage stochastic Runge-Kutta (SRK4) to illustrate the effectiveness of the results.

Keywords: Logistic models; Ornstein-Uhlenbeck process; Stochastic; Persistence; Extinction (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300320304252
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:386:y:2020:i:c:s0096300320304252

DOI: 10.1016/j.amc.2020.125465

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().