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A Two Species Syn-Ecological Model with a Prey and a Predator Model with a Cover for Prey and an Alternative Food for the Predator

The present paper is devoted to an analytical study of two species syn-ecological model with a prey and a predator. Predator is provided with an alternative food and a partial cover is provided to prey to protect it from the attacks of the predator. All possible equilibrium points are identified and their local and global stability is carried out. Trajectories of both the populations are also carried out by using analytical techniques.