Non‐linear structured population dynamics with co‐variates
Bibliographic Data
| ID | 19065456 |
|---|---|
| Authors | Jean‐Pierre Aubin (0000-0002-8421-1969, corresponding author), Noël Bonneuil (0000-0002-3196-2793), Franck Maurin |
| Year | 2000 |
| Volume | 9 |
| Issue | 1 |
| Pages | 1-31 |
| Publication date | 2000-12-01 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | Mathematical Population Studies (JOURNAL) |
| Journal identifiers | ISSN: 0889-8480 • E-ISSN: 1547-724X |
| Publisher | Taylor & Francis (PUBLISHER • GB) |
| DOI | 10.1080/08898480009525493 |
| OpenAlex | W2076097499 |
| Language | EN |
| Citations received | 1 |
| References cited | 17 |
Co‐variates are incorporated into a general model of non‐linear structured population dynamics. The proof of the existence and uniqueness of the solutions results from those of a special set, the invariance envelope. It is also valid in presence of state constraints, and solutions need only to have a closed graph (instead of being weakly differentiable as requested in semi‐group theory). Moreover, this invariance envelope provides a simple way to build the solutions, either explicitly in the linear exogenous case, or algo‐rithmically in the non‐linear case, both with co‐variates. The case of age‐structured systems and a model of demographic transition are discussed for illustration
Differentiable function · Discrete mathematics · Graph · Mathematical analysis · Population · Population model · Pure mathematics · Statistical physics · Uniqueness · Computer Science · Evolution and Genetic Dynamics · Evolutionary Game Theory and Cooperation · Mathematical and Theoretical Epidemiology and Ecology Models · Mathematics · Applied Mathematics
| Unique citing works | 1 |
|---|---|
| Citations per year | 0,04 |
| Citation span | 2001 - 2001 (1) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 1 |