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The dynamics of some discrete models with delay under the effect of constant yield harvesting
Abu-Saris, Raghib Al-Sharawi, Ziyad Rhouma, Mohamed Ben Haj
Abu-Saris, Raghib
Al-Sharawi, Ziyad
Rhouma, Mohamed Ben Haj
Date
2013
Advisor
Type
Peer-Reviewed
Article
Preprint
Article
Preprint
Degree
Description
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.