具有密度依赖出生率的非选择性半封闭捕获离散偏害系统动力学行为  

Dynamic behavior of the discrete amensalism model with density dependent birth rate and nonselective harvesting in partial closure

作　　者：许丽莉 雷朝铨 薛亚龙 XU Lili;LEI Chaoquan;XUE Yalong(College of Mathematics and Physics,Ningde Normal University,Ningde 352000 Fujian,China)

机构地区：[1]宁德师范学院数理学院,福建宁德352000

出　　处：《上海师范大学学报（自然科学版中英文）》2024年第3期291-300,共10页Journal of Shanghai Normal University(Natural Sciences)

基　　金：The Scientific Research Projet of Ningde Normal University(2021Q202,2022ZX415);the Natural Science Foundation of Fujian Province(2021J011555 FJ2021B031)。

摘　　要：本文提出了具有密度依赖出生本的非选择性半封闭捕获离散偏害模型,运用整分力程的遗代方法和比软原理,得出了系统持久性及灭绝性的-系列条件.通过构造适当的Lypuov函数,得到-个系统全局吸引的充分条件。本研究结果表明,通过控制种群中可用于相获的种群比例m(这与密度依赖的出生率有很大关系),系统可能是持久的、灭绝的。全局吸引的。或者个种群持久间另一个天绝,系统的动志行为变得复杂。通过数值模拟验证了主要结果的可行性。Discrete amensalism model with density dependent birth rate and nonselective harvesting in partial closure is proposed in this paper.Using the iteration scheme and the comparison priciple of difference equations,a set of necessary criteria for the system's permanence and extinction is established.By constructing a suitable Lyapunov function,a sufficient condition is obtained to ensure the global atractivity of the system.Our research demonstrates that by controling the portion of the stock that is available for harvesting m,which is quite related with density dependent birth rate,the system may be permanence,extinction,global atractivity,or one is permanent while the other will be driven to extinction,the dynamic behaviors of the system become complicated.The validity of the main results is illustrated by numerical simulations.

关 键 词：密度依赖性出生率 偏害模型 持久性 灭绝性 非选择性捕获 

分 类 号：O175.14[理学—数学]