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| We study an extension of the Rosenzweig-MacArthur tri-trophic food chain model in which the super-predator consumes both the predator and the prey. After finding the ultimate bounds and conditions for exponential convergence for these populations, we identify all equilibria and investigate their stability or instability in relation with all the ecological parameters. We focus our investigation on determining conditions for the existence, uniqueness and stability of a coexistence equilibrium. |
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