an:06606623
Zbl 1341.92056
Abu-Saris, Raghib; AlSharawi, Ziyad; Rhouma, Mohamed Ben Haj
The dynamics of some discrete models with delay under the effect of constant yield harvesting
EN
Chaos Solitons Fractals 54, 26-38 (2013).
00357247
2013
j
92D25 91B76 39A21 39A22 39A30
yield harvesting; stability; boundedness; persistence; oscillations; Pielous equation
Summary: In this paper, we study the dynamics of population models of the form \(x_{n+1}=x_nf(x_{n-1})\) 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.