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Dynamics in a Rosenzweig-Macarthur predator-prey system with quiescence

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  • A system of four coupled ordinary differential equations is considered, which are coupled through migration of both prey and predator model with logistic type growth. Combined effect of quiescence provides a more realistic way of modeling the complex dynamical behavior. The global stability and Hopf bifurcation solutions are investigated.
    Mathematics Subject Classification: Primary: 34D20; Secondary: 37G15.

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