The analytical solutions of the harvesting Verhulst’s evolution equation

Paulius Miškinis and Vaida Vasiliauskienė

Ecological Modelling, 2017, vol. 360, issue C, 189-193

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.

Keywords: Verhulst; Non-autonomous; Modeling; Dependence on parameters; Analytical solutions (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0304380017303319
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:ecomod:v:360:y:2017:i:c:p:189-193

DOI: 10.1016/j.ecolmodel.2017.06.021

Access Statistics for this article

Ecological Modelling is currently edited by Brian D. Fath

More articles in Ecological Modelling from Elsevier
Bibliographic data for series maintained by Catherine Liu ().