dorsal/arxiv
View SchemaClass of self-limiting growth models in the presence of nonlinear diffusion
| Authors | Sandip Kar, Suman Kumar Banik, Deb Shankar Ray |
|---|---|
| Categories | |
| ArXiv ID | physics/0203092 |
| URL | https://arxiv.org/abs/physics/0203092 |
| DOI | 10.1103/PhysRevE.65.061909 |
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.
{
"annotation_id": "5023290c-1be5-44ff-bf46-5adbc9dcb389",
"date_created": "2026-03-02T18:00:39.433000Z",
"date_modified": "2026-03-02T18:00:39.433000Z",
"file_hash": "23ec9a749a157d696437899dac657c6764b4f89df0bfa37a14d4584ce1d6b925",
"private": false,
"record": {
"abstract": "The source term in a reaction-diffusion system, in general, does not involve\nexplicit time dependence. A class of self-limiting growth models dealing with\nanimal and tumor growth and bacterial population in a culture, on the other\nhand are described by kinetics with explicit functions of time. We analyze a\nreaction-diffusion system to study the propagation of spatial front for these\nmodels.",
"arxiv_id": "physics/0203092",
"authors": [
"Sandip Kar",
"Suman Kumar Banik",
"Deb Shankar Ray"
],
"categories": [
"physics.bio-ph",
"nlin.PS",
"q-bio"
],
"doi": "10.1103/PhysRevE.65.061909",
"title": "Class of self-limiting growth models in the presence of nonlinear diffusion",
"url": "https://arxiv.org/abs/physics/0203092"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "64d3dae9-a54b-475a-8df5-bf2565b56d90",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}