Narrow Results

The exploration of closed-form solutions for nonlinear partial differential equations (NLPDEs) is an attractive subject in the different branches of mathematical and biological sciences. In this paper, we have applied a modified exp-function method to calculate closed-form solutions of a degenerate parabolic equation arising in the spatial diffusion of biological populations. The model assists us to comprehend the dynamical process of population variations in population models and delivers prized guesses. It is shown that the obtained solutions are more general and fresh and can be helpful to analyze the inner mechanism of other nonlinear biological models. Moreover, 2D and 3D graphical demonstrations together with the numerical data strengthen the effectiveness of the rummage-sale procedure.