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Title: The impact of constant effort harvesting on the dynamics of a discrete-time contest competition model
Authors: Alsharawi, Z. 
Amleh, A. 
Issue Date: 2017
Publisher: John Wiley and Sons Ltd
Journal: Mathematical Methods in the Applied Sciences 
Abstract: In this paper, we study a general discrete-time model representing the dynamics of a contest competition species with constant effort exploitation. In particular, we consider the difference equation xn+1=xnf(xn-k)-hxn where h>0, k∈(0,1), and the density dependent function f satisfies certain conditions that are typical of a contest competition. The harvesting parameter h is considered as the main parameter, and its effect on the general dynamics of the model is investigated. In the absence of delay in the recruitment (k=0), we show the effect of h on the stability, the maximum sustainable yield, the persistence of solutions, and how the intraspecific competition change from contest to scramble competition. When the delay in recruitment is 1 (k=1), we show that a Neimark-Sacker bifurcation occurs, and the obtained invariant curve is supercritical. Furthermore, we give a characterization of the persistent set. © 2017 John Wiley & Sons, Ltd.
ISSN: 0170-4214
DOI: 10.1002/mma.4487
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