Dynamics of stage-structured prey–predator model with prey refuge and harvesting. (2nd November 2022)

• Record Type: Journal Article
• Authors: Das, Aparna; Roy, Sankar Kumar
• Is Part Of: International journal of modelling & simulation. Volume 42:Number 6(2022)
• Page Start: 966
• Page End: 984
• Publication Date: 2022-11-02
• Subjects: Stage-structure -- refuge -- harvesting -- Hopf bifurcation -- saddle-node bifurcation; Mathematical models -- Periodicals; Simulation methods -- Periodicals; Mathematical models; Simulation methods; Periodicals; 003.3
• DOI: 10.1080/02286203.2021.2007321
• Languages: English
• ISSNs: 0228-6203

Abstract

ABSTRACT: A stage-structured prey–predator model with prey refuge is assumed, where predators have two stages as immature and mature. We consider here the harvesting on prey only and analyze the model using Beddington-DeAngelis functional response. Local stability as well as global stability at an interior equilibrium point are investigated in the proposed model. We choose different types of bifurcation like Hopf bifurcation, saddle-node bifurcation, and transcritical bifurcation in the formulated model. Moreover, in this paper, we check the optimality of the harvesting function with the help of optimal control. We provide the numerical simulation of the proposed model for the confirmation of analytical results.