Class of self-limiting growth models in the presence of nonlinear   diffusion
  The source term in a reaction-diffusion system, in general, does not involve explicit time dependence. A class of self-limiting growth models dealing with animal and tumor growth and bacterial population in a culture, on the other hand are described by kinetics with explicit functions of time. We analyze a reaction-diffusion system to study the propagation of spatial front for these models. 
Sandip Kar, Suman Kumar Banik and Deb Shankar Ray