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.
Kar
Sandip
S
Indian Association for the Cultivation of Science, Jadavpur, Calcutta 700 032, India.
Banik
Suman Kumar
SK
Ray
Deb Shankar
DS
D000818:Animals; D001419:Bacteria / Q000254:growth & development; D004058:Diffusion; D006128:Growth; D006801:Humans; D008954:Models, Biological; D009369:Neoplasms / Q000473:pathology; D017711:Nonlinear Dynamics