Abstract
In this paper, we have formulated and studied a dynamic predator-prey model. We have formulated intraspecific competition of predators. Holling type I and Holling type II response function have been used for the consumption of prey by two predators respectively. We have analyzed the positivity of solutions, existence of equilibria, and stability of the proposed system around these equilibrium points. Condition for local stability was obtained by eigenvalue approach and Routh-Hurwitz Criterion. Finally, some numerical simulation have been presented to investigate the dynamic of the system.
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