| dc.contributor.author | Vasiliauskienė, Vaida | |
| dc.contributor.author | Miškinis, Paulius | |
| dc.date.accessioned | 2023-09-18T17:00:27Z | |
| dc.date.available | 2023-09-18T17:00:27Z | |
| dc.date.issued | 2017 | |
| dc.identifier.issn | 0304-3800 | |
| dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/118839 | |
| dc.description.abstract | The Verhulst differential equation is one of the evolutionary equations most widely known in ecology. Its analytical solution is applied to explain the growth dynamics of populations with limited resources. The situation when the harvesting or "influence" function, i.e. the additional term proportional to the population concentration, is controlled by the time-dependent coefficient is analyzed. Several examples when this equation has the analytical solutions whose dependence on the parameters is expressed in an explicit form are presented. The estimation of the influence function in real experiments with bread mold is presented. The stability and harvesting functions in the general case are discussed. | eng |
| dc.format | PDF | |
| dc.format.extent | p. 189-193 | |
| dc.format.medium | tekstas / txt | |
| dc.language.iso | eng | |
| dc.relation.isreferencedby | BIOSIS Previews | |
| dc.relation.isreferencedby | Zoological Record | |
| dc.relation.isreferencedby | Current Contents / Agriculture, Biology & Environmental Sciences | |
| dc.relation.isreferencedby | Science Citation Index Expanded (Web of Science) | |
| dc.source.uri | https://doi.org/10.1016/j.ecolmodel.2017.06.021 | |
| dc.subject | FM03 - Fizinių, technologinių ir ekonominių procesų matematiniai modeliai ir metodai / Mathematical models and methods of physical, technological and economic processes | |
| dc.title | The analytical solutions of the harvesting Verhulst’s evolution equation | |
| dc.type | Straipsnis Web of Science DB / Article in Web of Science DB | |
| dcterms.references | 25 | |
| dc.type.pubtype | S1 - Straipsnis Web of Science DB / Web of Science DB article | |
| dc.contributor.institution | Vilniaus Gedimino technikos universitetas | |
| dc.contributor.faculty | Fundamentinių mokslų fakultetas / Faculty of Fundamental Sciences | |
| dc.contributor.department | Fizikos katedra / Department of Physics | |
| dc.subject.researchfield | N 002 - Fizika / Physics | |
| dc.subject.ltspecializations | L104 - Nauji gamybos procesai, medžiagos ir technologijos / New production processes, materials and technologies | |
| dc.subject.en | Verhulst | |
| dc.subject.en | Non-autonomous | |
| dc.subject.en | Modeling | |
| dc.subject.en | Dependence on parameters | |
| dc.subject.en | Analytical solutions | |
| dcterms.sourcetitle | Ecological modelling | |
| dc.description.volume | Vol. 360 | |
| dc.publisher.name | Elsevier | |
| dc.publisher.city | Amsterdam | |
| dc.identifier.doi | 000411771800016 | |
| dc.identifier.doi | 10.1016/j.ecolmodel.2017.06.021 | |
| dc.identifier.elaba | 24394091 | |
