The dynamics of a food web consisting of two preys and a harvesting predator

The dynamics of a food web consisting of two preys and a harvesting predator
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DOI:
10.1016/j.chaos.2006.04.067
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发表时间:
2007-11
影响因子:
7.8
通讯作者:
S. Gakkhar;Brahampal Singh
S. Gakkhar;Brahampal Singh
中科院分区:
数学1区
文献类型:
--
作者:
S. Gakkhar;Brahampal Singh

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本文研究了由两个食饵和一个捕食者组成的被捕食系统的动力学行为。研究了系统的生物平衡、经济平衡和最优平衡的存在性。对模型进行了局部和全局稳定性分析。研究了捕食种群的最优捕获策略。绘制了生物学上可行的参数选择的分叉图,并在最佳平衡也存在的范围内选择收获参数。据观察,收获可以控制混沌。
This paper investigates the dynamical behavior of an exploited system consisting of two preys and a predator which is being harvested. The existence of biological, economic and optimum equilibrium of the system is examined. The local and global stability analysis of the model has been carried out. The optimal harvesting policy for harvesting the predator species is studied. The bifurcation diagram is drawn for biologically feasible choice of parameters and the harvest parameter is chosen in the range for which optimum equilibrium also exist. It is observed that harvesting can control the chaos.