The Pertubative and Poincare Stability of the Travelling Wave Solution of the Logistic Growth with a Non-Linear Advection Model

Abstract

We have obtained new evidence for the stability of traveling wave solutions for the perturbation growth model nonlinear logistic beradveksi simple. We also show that the solution with negative velocity close to zero critical point is stable, while a solution which is close to another crucial point is only stable if the velocity coordinates of the wave is greater than the product of the limit and parameter logistic curve adveksinya references. Keywords: logistic growth beradveksi nonlinear traveling wave solutions; the stability of the perturbation; the stability of the Poincare.