一类带有成比例收获和禁渔期的单种群渔业模型
A Single Species Fishery Model with Proportional Harvest and Forbidden Fishing Period
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摘要: 构建了一类带有禁渔期的单种群渔业模型,讨论了周期解的存在性、唯一性和稳定性,指出在一个周期内,存在最优的禁渔期使得种群数量最大且渔获量最大.最后利用数值模拟验证了理论结果Abstract: A single species fishery model with propertional harvest and forbidden fishing period was formulated. The existence, uniqueness and stability of periodic solution were discussed. It was pointed out that there is an optimal forbidden fishing period such that both the number of the species and the yield of the fish are maximum in a management cycle. Finally, the corresponding numerical simulations were given to illustrate the mathematical results.