On the impulsive Beverton-Holt equation and extinction conditions in population dynamics

Author

De la Sen, Manuel ; Alonso-Quesada, S.

Author_Institution

Fac. of Sci. & Technol., Dept. of Electr. & Electron., Univ. of the Basque Country, Bilbao, Spain

fYear

2011

fDate

14-17 Sept. 2011

Firstpage

205

Lastpage

210

Abstract

This paper is devoted to investigate extinction and non-extinction conditions of the extended Beverton-Holt equation for dynamics of populations in Ecology when potential discontinuities at sampling points are included in the model. Such discontinuities are related to impulses in the corresponding continuous-time logistic equation. The discontinuities are parameterized by two sequences of parameters, namely, the harvesting (i.e. the hunting or fishing quota) and the internal consumption which can include positive and negative migrations in the considered population habitat.

Keywords

ecology; fishing industry; logistics; sampling methods; continuous time logistic equation; ecology; fish negative migrations; fishing quota; impulsive Beverton-Holt equation; population dynamics; population habitat; sampling points; Biological system modeling; Environmental factors; Equations; Logistics; Mathematical model; Recruitment; Sufficient conditions; Beverton-Holt equation; harvesting quota; impulsive equations; independent consumption;

fLanguage

English

Publisher

ieee

Conference_Titel

Quality and Reliability (ICQR), 2011 IEEE International Conference on

Conference_Location

Bangkok

Print_ISBN

978-1-4577-0626-4

Type

conf

DOI

10.1109/ICQR.2011.6031710

Filename

6031710