dorsal/arxiv
View SchemaFreely forming groups: Trying to be rare
| Authors | Michael Baake, Uwe Grimm, Harald Jockusch |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0509011 |
| URL | https://arxiv.org/abs/q-bio/0509011 |
| Journal | The ANZIAM Journal 48 (2006) 1-10 |
Abstract
A simple weakly frequency dependent model for the dynamics of a population with a finite number of types is proposed, based upon an advantage of being rare. In the infinite population limit, this model gives rise to a non-smooth dynamical system that reaches its globally stable equilibrium in finite time. This dynamical system is sufficiently simple to permit an explicit solution, built piecewise from solutions of the logistic equation in continuous time. It displays an interesting tree-like structure of coalescing components.
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"abstract": "A simple weakly frequency dependent model for the dynamics of a population\nwith a finite number of types is proposed, based upon an advantage of being\nrare. In the infinite population limit, this model gives rise to a non-smooth\ndynamical system that reaches its globally stable equilibrium in finite time.\nThis dynamical system is sufficiently simple to permit an explicit solution,\nbuilt piecewise from solutions of the logistic equation in continuous time. It\ndisplays an interesting tree-like structure of coalescing components.",
"arxiv_id": "q-bio/0509011",
"authors": [
"Michael Baake",
"Uwe Grimm",
"Harald Jockusch"
],
"categories": [
"q-bio.PE",
"math.DS"
],
"journal_ref": "The ANZIAM Journal 48 (2006) 1-10",
"title": "Freely forming groups: Trying to be rare",
"url": "https://arxiv.org/abs/q-bio/0509011"
},
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