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Local Stability Analysis with Simplified Monod-Haldane R-M Predator-Prey Model

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In this paper, Rosenzweig-MacArthur predator-prey model with simplified Monod- Haldane type is studied. Firstly, the existence and local stability of all equilibrium points of ordinary differential model are discussed. Then analyze that under certain conditions, Hopf branches are generated at the positive equilibrium E∗.

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