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Title

THE STABILITY OF PREDATOR-PREY MODEL WITH DISEASE INFECTION

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Abstract

 THE STABILITY OF ECOLOGICAL AND BIOLOGICAL MODELING HAS SPECIAL IMPORTANT. IN THIS PAPER A PREDATOR-PREY MODEL WITH DISEASE INFECTION IN BOTH POPULATIONS IS PROPOSED.BY USING LOCAL ANALYSIS OF VARIOUS EQUILIBRIA, WE OBTAINED SEVERAL THRESHOLD PARAMETERS WHICH DETERMINE THE STABILITY OF THE EXISTING EQUILIBRIA. WE ALSO CONSIDERED DISEASE INFECTION IN BOTH POPULATIONS, AND SO THE MODEL YIELDS MORE COMPLEX DYNAMICS. FINALLY, WE ANALYZED THE LOCALLY AND GLOBALLY STABILITY.

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