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Complex dynamics in a two species system with Crowley–Martin response function: Role of cooperation, additional food and seasonal perturbations.

Authors :
Mondal, Bapin
Thirthar, Ashraf Adnan
Sk, Nazmul
Alqudah, Manar A.
Abdeljawad, Thabet
Source :
Mathematics & Computers in Simulation. Jul2024, Vol. 221, p415-434. 20p.
Publication Year :
2024

Abstract

This research article investigates the interaction between prey and a generalist predator, considering the effect of hunting cooperation. The predator–prey interaction is modeled using a predator dependent functional response, specifically the Crowley–Martin type. System's dynamics are explored using both analytical and numerical techniques. Feasible equilibria are analyzed, and their local stability is determined. Various bifurcations in the system are explored, and one-and two-parameter bifurcation structures are constructed to unveil complex dynamical behaviors. Our findings reveal that both prey and predator face extinction when the predator growth rate from alternative food sources exceeds certain threshold values. However, prey extinction is driven by the higher levels of hunting cooperation among predators, while the availability of external food sources enhances the system's stability and persistence. Furthermore, we enhance the model by introducing seasonal perturbations, acknowledging the influence of seasonal variations on ecological parameters. The system exhibits diverse patterns in response to seasonality, contributing to a deeper understanding of the dynamics in predator–prey interactions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03784754
Volume :
221
Database :
Academic Search Index
Journal :
Mathematics & Computers in Simulation
Publication Type :
Periodical
Accession number :
176760166
Full Text :
https://doi.org/10.1016/j.matcom.2024.03.015