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Dostęp zamkniętyA class of individual–based models
| cris.lastimport.scopus | 2024-02-12T20:51:29Z |
| dc.abstract.en | We discuss a class of mathematical models of biological systems at microscopic level — i.e. at the level of interacting individuals of a population. The class leads to partially integral stochastic semigroups — [25]. We state general conditions guaranteeing the asymptotic stability. In particular under some rather restrictive assumptions we observe that any, even non–factorized, initial probability density tends in the evolution to a factorized equilibrium probability density — [16]. We discuss possible applications of the general theory such as redistribution of individuals — [10], thermal denaturation of DNA [7], and tendon healing process — [11]. |
| dc.affiliation | Uniwersytet Warszawski |
| dc.contributor.author | Lachowicz, Mirosław |
| dc.date.accessioned | 2024-01-24T17:17:52Z |
| dc.date.available | 2024-01-24T17:17:52Z |
| dc.date.issued | 2018 |
| dc.description.finance | Nie dotyczy |
| dc.description.number | 1 |
| dc.description.volume | 7 |
| dc.identifier.doi | 10.11145/J.BIOMATH.2018.04.127 |
| dc.identifier.issn | 1314-684X |
| dc.identifier.uri | https://repozytorium.uw.edu.pl//handle/item/101456 |
| dc.identifier.weblink | http://www.biomathforum.org/biomath/index.php/biomath/article/view/j.biomath.2018.04.127 |
| dc.language | eng |
| dc.pbn.affiliation | mathemathics |
| dc.relation.ispartof | Biomath |
| dc.relation.pages | 1804127:1-8 |
| dc.rights | ClosedAccess |
| dc.sciencecloud | nosend |
| dc.subject.en | Individual--based models |
| dc.subject.en | Markov jump processes |
| dc.subject.en | Integro--differential equations |
| dc.subject.en | Stochastic semigroups |
| dc.subject.en | Stability |
| dc.title | A class of individual–based models |
| dc.type | JournalArticle |
| dspace.entity.type | Publication |