Optimal Harvesting on a Modified Leslie–Gower Predator–Prey Model Under Fear and Allee Effects on Prey

• Published in: Differential equations and dynamical systems Vol. 32; no. 4; pp. 1067 - 1096
• Main Authors: Halder, Susmita, Bhattacharyya, Joydeb, Pal, Samares
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.10.2024; Springer Nature B.V
• Subjects: Bifurcations; Computer Science; Engineering; Fisheries; Mathematics; Mathematics and Statistics; Original Research; Pontryagin principle; Predator-prey simulation; Predators; Steady state; Optimal harvesting; 92B05; 92D25; Fear effect; Maximum sustainable yield; 92D40; Bionomic equilibrium

In this article, we have analyzed the effect of prey apprehension on a modified Leslie–Gower predator–prey fishery model with Allee effect on the prey population. We investigate the predator–prey dynamics for linear, Holling type II, and Holling type III functional responses of the predator and obse...