Abstract

This work is associated with the solution of reaction diffusion equation with ecological parameters. The mathematical analysis of reaction diffusion equation with ecological parameters has been conducted by the mixed use of inequalities and integral transform methods. The problem is solved in the form of power series to obtain approximate solution with simply reckonable terms and the exact solutions can be accomplished by the mean of acknowledged structure of the series solutions. To show the effectiveness of method, the examples are also illustrated.

Key words: Reaction diffusion equation, ecological parameters, integral transform, Holder Inequality.