Abstract
The main purpose of the article is to offer a relatively complete mathematical analysis for a biological Prey-Predator model with generalized Holling type II functional response. The model has only one equilibrium in the interior for some biological parameter values. We perform a qualitative analysis of biological model which includes positivity of solutions, local asymptotic stability and bifurcation of equilibrium through the standard linearization technique. The results developed in this article reveal far richer dynamics compared to the biological model without Holling type II functional response. The analysis provides a certain method for understanding biological information and carrying on the related intelligent computation.
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