Survival analysis of a stochastic service–resource mutualism model in a polluted environment with pulse toxicant input

Hui Wang, Fangmei Pan and Meng Liu

Physica A: Statistical Mechanics and its Applications, 2019, vol. 521, issue C, 591-606

Abstract: In this paper, taking the white noises, Markovian switching and Lévy jumps into account, a stochastic service–resource mutualism model in a polluted environment with pulse toxicant input is proposed and analyzed. The critical value between persistence in the mean and extinction for each species is obtained. Several numerical simulations are also introduced to illustrate the theoretical results. The results reveal that random perturbations, the impulsive period and the toxicant input amount each time have close relationships with the persistence and extinction of the species.

Keywords: Service–resource mutualism model; Random perturbations; Persistence; Environmental pollution (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119301141
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

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:phsmap:v:521:y:2019:i:c:p:591-606

DOI: 10.1016/j.physa.2019.01.108

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().