Malaysian Journal of Mathematical Sciences, December 2025, Vol. 19, No. 4
Stability Analysis of Stage–Structured Prey with Selective Harvesting in a Predator–Prey Model
Divya, B. and Kavitha, K.
Corresponding Email: kavinphd@gmail.com
Received date: 13 September 2024
Accepted date: 23 June 2025
Abstract:
This research examines the dynamics of a two-species model in the context of harvesting. One species is divided into immature and mature prey subpopulations, while the other is categorised as a predator. The various types of functional responses between these two species have been incorporated. Holling type–I pertains to immature prey due to its ease of capture, whereas Holling type–II is applicable to mature prey. Additionally, mature prey has been harvested. The concepts of boundedness and positivity are investigated. It has been determined that every potential equilibrium point exists. Using the Jacobian matrix, stability analysis is performed. Numerical simulations are done using MATLAB software.
Keywords: equilibrium points; functional response; Jacobian matrix; population dynamics; stability analysis; stage structure model
