Hunting cooperation in a prey–predator model with maturation delay

We investigate the dynamics of a prey–predator model with cooperative hunting among specialist predators and maturation delay in predator growth. First, we consider a model without delay and explore the effect of hunting time on the coexistence of predator and their prey. When the hunting time is lo...

Full description

Saved in:
Bibliographic Details
Main Authors: Yoichi Enatsu, Jyotirmoy Roy, Malay Banerjee
Format: Article
Language:English
Published: Taylor & Francis Group 2024-12-01
Series:Journal of Biological Dynamics
Subjects:
Online Access:https://www.tandfonline.com/doi/10.1080/17513758.2024.2332279
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We investigate the dynamics of a prey–predator model with cooperative hunting among specialist predators and maturation delay in predator growth. First, we consider a model without delay and explore the effect of hunting time on the coexistence of predator and their prey. When the hunting time is long enough and the cooperation rate among predators is weak, prey and predator species tend to coexist. Furthermore, we observe the occurrences of a series of bifurcations that depend on the cooperation rate and the hunting time. Second, we introduce a maturation delay for predator growth and analyse its impact on the system's dynamics. We find that as the delay becomes larger, predator species become more likely to go extinct, as the long maturation delay hinders the growth of the predator population. Our numerical exploration reveals that the delay causes shifts in both the bifurcation curves and bifurcation thresholds of the non-delayed system.
ISSN:1751-3758
1751-3766