TY - JOUR
T1 - The beverton–holt model with periodic and conditional harvesting
AU - AlSharawi, Ziyad
AU - Rhouma, Mohamed B.H.
PY - 2009
Y1 - 2009
N2 - In this theoretical study, we investigate the effect of different harvesting strategies on the discrete Beverton–Holt model in a deterministic environment. In particular, we make a comparison between the constant, periodic and conditional harvesting strategies. We find that for large initial populations, constant harvest is more beneficial to both the population and the maximum sustainable yield. However, periodic harvest has a short-term advantage when the initial population is low, and conditional harvest has the advantage of lowering the risk of depletion or extinction. Also, we investigate the periodic character under each strategy and show that periodic harvesting drives population cycles to be multiples (period-wise) of the harvesting period.
AB - In this theoretical study, we investigate the effect of different harvesting strategies on the discrete Beverton–Holt model in a deterministic environment. In particular, we make a comparison between the constant, periodic and conditional harvesting strategies. We find that for large initial populations, constant harvest is more beneficial to both the population and the maximum sustainable yield. However, periodic harvest has a short-term advantage when the initial population is low, and conditional harvest has the advantage of lowering the risk of depletion or extinction. Also, we investigate the periodic character under each strategy and show that periodic harvesting drives population cycles to be multiples (period-wise) of the harvesting period.
KW - Beverton–Holt model
KW - Conditional harvesting
KW - Optimal harvesting
KW - Periodic discrete systems
KW - Periodic harvesting
KW - Periodic solutions
UR - http://www.scopus.com/inward/record.url?scp=77951471182&partnerID=8YFLogxK
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U2 - 10.1080/17513750802601041
DO - 10.1080/17513750802601041
M3 - Article
C2 - 22880895
AN - SCOPUS:77951471182
SN - 1751-3758
VL - 3
SP - 463
EP - 478
JO - Journal of Biological Dynamics
JF - Journal of Biological Dynamics
IS - 5
ER -