Extension of the Sumudu homotopy perturbation method to an attractor for one-dimensional Keller–Segel equations

Using an iterative method based on the Sumudu transform, we have solved a system of non-linear partial differential equations, which is derived from attractor for Keller–Segel dynamics system. Graphical representations are provided and display biologically reasonable dependencies of the parameters values. The reliability of the SHPM and the reduced number of computations make the method broadly applicable. In addition, the SHPM calculations are very simple and straightforward. This study demonstrates that SHPM is a powerful and efficient tool for solving non-linear partial differential equations.