Abstract
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 on the Routh-Hurwitz criteria, and a Lyapunov function is constructed to demonstrate global asymptotic stability. The theoretical findings are validated through numerical simulations, which also explore the effects of varying harvesting intensities on species persistence.
Recommended Citation
Ganga, S. and Vijaya, S.
(2025).
(R2150) Impact of Specialist Predator Harvesting on the Stability of a Three-Species Food Chain Model with a Generalist Predator,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 20,
Iss.
2, Article 16.
Available at:
https://digitalcommons.pvamu.edu/aam/vol20/iss2/16