Dynamic behaviors of a predator–prey model perturbed by a complex type of noises

Xiaoxia Guo, Chunjuan Zhu and Dehao Ruan

Physica A: Statistical Mechanics and its Applications, 2019, vol. 523, issue C, 1024-1037

Abstract: This paper concerns a predator–prey model perturbed by a complex type of noises. The main difficulty is to give the threshold λ. We introduce some important lemmas and establish sufficient conditions for persistence stochastically and extinction. In fact, the conditions obtained are very close to the necessary conditions. Finally, numerical simulations and comparisons to existing literatures are given to illustrate our theoretical analysis.

Keywords: Stochastic predator–prey model; C–M functional response; Persistence; Extinction (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119304777
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:523:y:2019:i:c:p:1024-1037

DOI: 10.1016/j.physa.2019.04.104

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 ().