Harvesting policy for a delayed stage-structured Holling II predator–prey model with impulsive stocking prey
Harvesting policy for a delayed stage-structured Holling II predator–prey model with impulsive stocking prey
复制标题
具有脉冲放养猎物的延迟阶段结构 Holling II 捕食者-猎物模型的收获策略
DOI：
10.1016/j.chaos.2007.11.015
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发表时间：
2009-07
期刊：
影响因子：
--
通讯作者：
Jiao Jianjun, Meng Xinzhu, Chen Lansun
中科院分区：
文献类型：
--
作者：
Jiao Jianjun, Meng Xinzhu, Chen Lansun
Wang等人[Wang W，Mulone G，Salemi F，Salone V. Permanence and stability of a stage-structured predator-prey model. J Math Anal Appl 2001;262：499-528]。假设捕食者的未成熟个体和成熟个体按固定年龄划分，未成熟捕食者不具有攻击猎物的能力。我们为王模型做经济管理行为[Wang et al.，2001]通过对捕食者的连续收获和对猎物的冲动放养。然后，建立了具有脉冲放养食饵和连续收获捕食者的时滞阶段结构Holling Ⅱ型捕食-食饵模型.并假设捕食者的捕食产物只是为了增加其承受能力。得到了捕食者灭绝边界周期解的全局吸引性和系统的持久性的充分条件。研究结果表明，脉冲放养食饵行为对系统的持久性有重要作用，为生物资源管理提供了策略依据。此外，还插入了数值分析，以阐明系统的动力学。
A predator–prey model with a stage structure for the predator, which improves the assumption that each individual predator has the same ability to capture prey, is proposed by Wang et al. [Wang W, Mulone G, Salemi F, Salone V. Permanence and stability of a stage-structured predator–prey model. J Math Anal Appl 2001;262:499–528]. It is assumed that immature individuals and mature individuals of the predator are divided by a fixed age and that immature predators do not have the ability to attack prey. We do economic management behavior for Wang model [Wang et al., 2001] by continuous harvesting on predator and impulsive stocking on prey. Then, a delayed stage-structured Holling type II predator–prey model with impulsive stocking prey and continuous harvesting predator is established. It is also assumed that the predating products of the predator is only to increase its bearing ability. We obtain the sufficient conditions of the global attractivity of predator-extinction boundary periodic solution and the permanence of the system. Our results show that the behavior of impulsive stocking prey plays an important role for the permanence of the system, and provide tactical basis for the biological resource management. Further, the numerical analysis is also inserted to illuminate the dynamics of the system.
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影响因子：
7.8
作者：
Bing Liu;Z. Teng;Wanbo Liu
通讯作者：
Bing Liu;Z. Teng;Wanbo Liu
影响因子：
3.5
作者：
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影响因子：
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作者：
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通讯作者：
S. Gakkhar;Brahampal Singh
DOI：
10.1201/9780203751206
发表时间：
1993-07
期刊：
--
影响因子：
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作者：
D. Bainov;P. Simeonov
通讯作者：
D. Bainov;P. Simeonov
影响因子：
2.9
作者：
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