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In this paper, on foundation of [D.S. Cohen and J.D. Murray, 1981; G.W. Chen et al., 1996; Chen Ning, 2005; Qi Lin Liu et al., 2003], to study population problem with extension Ginzbur-Landau type for (1) (3) and more general higher order nonlinear parabolic equation with initial bounded value problem which expresses it in existence, unique for classical solution, and by some method, to study this generalized solution and Blow-up phenomena. We obtain some new results, by means of method in to prove the local degenerative problem with homogeneous Dirichlet's boundary value that on suite condition the solution is symmetry function for radius, then the rate of blow-up are same when the solution is blow-up in finite time, and consider blow-up set.