article
Analysis of a discrete model of prey-predator system with prey refuge
International Journal of Statistics and Applied Mathematics · 2017 · Vol. 2(2) · pp. 18–22
Abstract
A refuge model of prey-predator system with Holling type-II functional response is proposed. The existence of fixed points is established and their stability conditions are derived. Neimark-Sacker bifurcation result is obtained. Numerical simulations suggest that the system exhibits chaotic behavior under certain situations along with Fold and Flip bifurcation.
Mathematical and Theoretical Epidemiology and Ecology ModelsPredationFunctional responseBifurcationMathematicsControl theory (sociology)Applied mathematicsStability (learning theory)ChaoticPredatorComputer science
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