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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… (More)
In this article, we study the higher-order semilinear parabolic equation ut + (−∆) m u = |u| p , (t, x) ∈ R Using the test function method, we derive the blow-up critical exponent. And then based on integral inequalities, we estimate the life span of blow-up solutions .