TY - JOUR
T1 - The dynamics of some discrete models with delay under the effect of constant yield harvesting
AU - Abu-Saris, Raghib
AU - Alsharawi, Ziyad
AU - Rhouma, Mohamed Ben Haj
N1 - Funding Information:
This work is partially supported by SQU / Internal Grants IG/SCI/DOMS/09/05 and IG/SCI/DOMS/11/14
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
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U2 - 10.1016/j.chaos.2013.05.008
DO - 10.1016/j.chaos.2013.05.008
M3 - Article
AN - SCOPUS:84879118148
SN - 0960-0779
VL - 54
SP - 26
EP - 38
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
ER -