DYNAMICAL BEHAVIOUR OF A DISCRETE-TIME PREDATOR-PREY MODEL WITH INTRAGUILD PREDATION
DOI:
https://doi.org/10.46754/jmsi.2025.12.001Keywords:
Predator-prey model, intraguild predation, stability, bifurcation, chaos controlAbstract
This article examines a discrete-time predator-prey model that incorporates intraguild predation. For biological reasons, positivity and boundedness of solutions are verified. A condition for the stability of an interior fixed point is derived. Global stability criterion of the interior fixed point is obtained. It is found that the system exhibits Neimark-Sacker and period-doubling bifurcations under certain restrictions on the system parameters. The system shows a chaotic nature for a particular choice of system parameters. This phenomenon may be prevented by applying a hybrid control technique. We have observed that an increase in the amount of intrinsic growth rate of prey initially destabilises the system and finally stabilises, whereas an increase in the amount of intraspecific competition rate of prey cannot stabilise the system. Some illustrations support our analytical findings.
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