Dynamics of a Stochastic Predator-Prey System in Presence of Competitor for Prey with Fear Effect and Hunting Cooperation

Debasis Mukherjee ()
Additional contact information
Debasis Mukherjee: Vivekananda College

Methodology and Computing in Applied Probability, 2025, vol. 27, issue 2, 1-15

Abstract: Abstract This paper studies a stochastic predator-prey model in presence of competitor for the prey. Here, one of the competing prey species is affected by the fear of predators while the other competing prey species is not consumed by the predators nor even attacked. The deterministic model without hunting cooperation is already analyzed. The impact of considering hunting cooperation on the system dynamics is indicated. For the stochastic model, the existence of a unique global positive solution and ultimate boundedness are investigated. The asymptotic mean square stability of the predator free equilibrium point is examined. The results obtained are verified through numerical simulations.

Keywords: Fear factor; Hunting cooperation; Stability; Bifurcation; Stochastic perturbations; 37N25; 92D30; 93E03; 92D25 (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s11009-025-10167-5 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:metcap:v:27:y:2025:i:2:d:10.1007_s11009-025-10167-5

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/11009

DOI: 10.1007/s11009-025-10167-5

Access Statistics for this article

Methodology and Computing in Applied Probability is currently edited by Joseph Glaz

More articles in Methodology and Computing in Applied Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().