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

Source: [Class of self-limiting growth models in the presence of nonlinear diffusion](<https://www.sota2.com/research/paper/68fa25ef2c2a3760193b521a>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T11:03:46.663Z

Authors: Sandip Kar, Suman Kumar Banik, Deb Shankar Ray

Published: 2002-03-29T08:21:52.000Z

## Abstract

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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/physics/0203092>)

[PDF](<https://arxiv.org/pdf/physics/0203092.pdf>)