The dynamics of some discrete models with delay under the effect of constant yield harvesting

Raghib Abu-Saris, Ziyad Alsharawi, Mohamed Ben Haj Rhouma

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper, we study the dynamics of population models of the form xn+1 = xnf (xn-1) under the effect of constant yield harvesting. Results concerning stability, boundedness, persistence and oscillations of solutions are given. Also, some regions of persistence and extinction are characterized. Pielous equation was considered as an example on these models, and a connection with a Lyness type equation has been established at certain harvesting level, which is used to give an explicit description of a persistent set.

Original languageEnglish
Pages (from-to)26-38
Number of pages13
JournalChaos, Solitons and Fractals
Volume54
DOIs
Publication statusPublished - 2013

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Harvesting
Discrete Model
Persistence
Population Model
Extinction
Boundedness
Oscillation
Model
Form

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

The dynamics of some discrete models with delay under the effect of constant yield harvesting. / Abu-Saris, Raghib; Alsharawi, Ziyad; Rhouma, Mohamed Ben Haj.

In: Chaos, Solitons and Fractals, Vol. 54, 2013, p. 26-38.

Research output: Contribution to journalArticle

Abu-Saris, Raghib ; Alsharawi, Ziyad ; Rhouma, Mohamed Ben Haj. / The dynamics of some discrete models with delay under the effect of constant yield harvesting. In: Chaos, Solitons and Fractals. 2013 ; Vol. 54. pp. 26-38.
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