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(R2150) Impact Of Specialist Predator Harvesting On The Stability Of A Three-Species Food Chain Model With A Generalist Predator, S. Ganga, S. Vijaya
(R2150) Impact Of Specialist Predator Harvesting On The Stability Of A Three-Species Food Chain Model With A Generalist Predator, S. Ganga, S. Vijaya
Applications and Applied Mathematics: An International Journal (AAM)
In this study, the stability of a three-species food chain model comprising a prey, an intermediate specialist predator, and a top predator exhibiting generalist behavior is examined, with harvesting applied to the intermediate predator. The main objective is to investigate how variations in the harvesting rate influence system stability and the coexistence of all three species. The positivity, boundedness, and equilibrium points of the model are analyzed to ensure biological feasibility. The equilibrium point involving the prey and the top predator satisfies the criteria for both local and global asymptotic stability. The coexistence equilibrium point attains local asymptotic stability based …