ABSTRACT

Reaction–diffusion systems have received considerable attention during the last few decades due to their ability to model the dynamics of a wide range of natural physical phenomena in the fields of fluid dynamics [1], chemistry [2], ecology [3] and other disciplines. These systems take into account the nonhomogeneous spatial distribution of populations and the effect of that distribution on the diffusion process. Reaction diffusion systems have recently found applications in the fields of natural computing [4] and biological communication networks [5]. In addition, such models have given us a deep insight into the dynamics of diffusive neural networks and their control and applications [6].