EFFECT OF HARVESTING QUOTA AND PROTECTION ZONE IN A REACTION-DIFFUSION MODEL ARISING FROM FISHERY MANAGEMENT
EFFECT OF HARVESTING QUOTA AND PROTECTION ZONE IN A REACTION-DIFFUSION MODEL ARISING FROM FISHERY MANAGEMENT
复制标题
渔业管理反应扩散模型中捕捞配额和保护区的影响
DOI：
10.3934/dcdsb.2017039
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发表时间：
2017
影响因子：
1.2
通讯作者：
Shi Junping
中科院分区：
文献类型：
--
作者：
Cui Renhao;Li Haomiao;Mei Linfeng;Shi Junping
考虑一类具有空间非均匀收获的反应扩散Logistic种群模型。结果表明，当内禀增长率大于保护区的主特征值时，种群总是可持续的；反之，存在避免种群灭绝的最大允许捕获量。对两种情况下的定态解的存在性也进行了研究。文中还证明了最优收获模式的存在，并用一维区域的数值模拟对理论结果进行了补充。
A reaction-diffusion logistic population model with spatially nonhomogeneous harvesting is considered. It is shown that when the intrinsic growth rate is larger than the principal eigenvalue of the protection zone, then the population is always sustainable; while in the opposite case, there exists a maximum allowable catch to avoid the population extinction. The existence of steady state solutions is also studied for both cases. The existence of an optimal harvesting pattern is also shown, and theoretical results are complemented by some numerical simulations for one-dimensional domains.