Class of self-limiting growth models in the presence of nonlinear diffusion

Details Class of self-limiting growth models in the presence of nonlinear diffusion Class of self-limiting growth models in the presence of nonlinear diffusion

2002-03-29

arxiv.org/abs/physics/0203092v1

Physics

Biological Physics

RevTex, 13 pages, 5 figures. To appear in Physical Review E

Scientific paper

10.1103/PhysRevE.65.061909

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.

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