Cruywagen G C
Sea Fisheries Research Institute, Cape Town, South Africa.
Math Biosci. 1996 May;134(1):85-111. doi: 10.1016/0025-5564(95)00122-0.
A delay-difference model for a sex-structured population with delayed recruitment is presented. Constant-effort harvesting is introduced for examining the model's sensitivity to harvesting. Linear analyses about the steady states are performed under various parameter choices. The effects of the delay period, the survival parameter, and the harvesting effort on population stability are examined. It is shown that differences in the male and female delays to recruitment can give rise to very different stability diagrams. Our analyses indicate, for example, that a population with equal male and female delays to recruitment is the most robust to recruitment failures. Possible forms that the male and female recruitment functions could take are suggested and evaluated. Finally, the very encouraging result is obtained that maximum sustainable yield is attained at a stable steady-state population level.
提出了一个具有延迟招募的性别结构种群的延迟差分模型。引入恒定努力捕捞以检验模型对捕捞的敏感性。在各种参数选择下对稳态进行线性分析。研究了延迟期、生存参数和捕捞努力对种群稳定性的影响。结果表明，雄性和雌性招募延迟的差异会导致非常不同的稳定性图。例如，我们的分析表明，雄性和雌性招募延迟相等的种群对招募失败最具稳健性。提出并评估了雄性和雌性招募函数可能的形式。最后，得到了非常令人鼓舞的结果，即在稳定的稳态种群水平上实现了最大可持续产量。
