dorsal/arxiv
View SchemaDynamics of Heterogeneous Populations and Communities and Evolution of Distributions
| Authors | Georgy P. Karev |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0507028 |
| URL | https://arxiv.org/abs/q-bio/0507028 |
Abstract
Most population models assume that individuals within a given population are identical, that is, the fundamental role of variation is ignored. Inhomogeneous models of populations and communities allow for birth and death rates to vary among individuals; recently, theorems of existence and asymptotic of solutions of such models were investigated. Here we develop another approach to modeling heterogeneous populations by reducing the model to the Cauchy problem for a special system of ODEs. As a result, the total population size and current distribution of the vector-parameter can be found in explicit analytical form or computed effectively. The developed approach is extended to the models of inhomogeneous communities.
{
"annotation_id": "3a8e4e50-9eaa-4a0e-a715-9b932fff0bc8",
"date_created": "2026-03-02T18:01:31.347000Z",
"date_modified": "2026-03-02T18:01:31.347000Z",
"file_hash": "47f59bdb65df60fce43268d2d57b8803d2f7f39a5c64f31326cc43b32daab045",
"private": false,
"record": {
"abstract": "Most population models assume that individuals within a given population are\nidentical, that is, the fundamental role of variation is ignored. Inhomogeneous\nmodels of populations and communities allow for birth and death rates to vary\namong individuals; recently, theorems of existence and asymptotic of solutions\nof such models were investigated. Here we develop another approach to modeling\nheterogeneous populations by reducing the model to the Cauchy problem for a\nspecial system of ODEs. As a result, the total population size and current\ndistribution of the vector-parameter can be found in explicit analytical form\nor computed effectively. The developed approach is extended to the models of\ninhomogeneous communities.",
"arxiv_id": "q-bio/0507028",
"authors": [
"Georgy P. Karev"
],
"categories": [
"q-bio.PE",
"q-bio.OT"
],
"title": "Dynamics of Heterogeneous Populations and Communities and Evolution of Distributions",
"url": "https://arxiv.org/abs/q-bio/0507028"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "21392117-426f-4eff-8331-c7035d80dd54",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}