Optimal harvesting strategy based on uncertain logistic population model

Lifen Jia and Xueyong Liu

Chaos, Solitons & Fractals, 2021, vol. 152, issue C

Abstract: The variations of population size with respect to time are often described by means of differential equations. This paper assumes the population size follows an uncertain logistic population equation, and calculates its uncertainty distribution and α-paths. The first hitting time that the population size reaches a pre-set level is investigated, which forms an uncertain renewal process, based on which a harvesting strategy is designed. With the help of fundamental theorem of uncertain renewal processes, the optimal harvesting strategy problem is transformed to a traditional optimization problem involving two variables which could be easily solved analytically or numerically.

Keywords: Uncertain differential equation; Renewal process; Harvesting strategy; First hitting time (search for similar items in EconPapers)
Date: 2021
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/S0960077921006834
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:chsofr:v:152:y:2021:i:c:s0960077921006834

DOI: 10.1016/j.chaos.2021.111329

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().