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An one prey-two predator model with prey harvesting

Nijamuddin Ali, Santabrata Chakravarty

Abstract



The present study deals with a time dependent model considering two competitive predators sharing a single prey as their food with prey harvesting is considered. Stability analysis including local and global stability of all non-negative equilibrium points and existence of Hopf- bifurcation is explored in order to examine the dynamic behaviour of the system. One may conclude from the present findings that prey harvesting in presence of inter and intraspecific
competition among predator populations can establish global coexistence. Finally, numerical simulation is performed to verify the conclusion drawn from analytical results.

Keywords


Prey predator model; Prey harvesting; Stability; Hopf-Andronov bifurcation; Lyapunov function

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