A bioeconomic differential algebraic predator-prey model with nonlinear prey harvesting

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• 作者：Meng Li ; ^a ; ^{limenghbnu@163.com} ; ^{limengcsusise@csu.edu.cn} ; Boshan Chen^b ; Huawen Ye^a
• 关键词：Biological economic system ; Differential algebraic system ; Predator&ndash ; prey model ; Nonlinear prey harvesting ; Singularity induced bifurcation ; Hopf bifurcation
• 刊名：Applied Mathematical Modelling
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：42
• 期：Complete
• 页码：17-28
• 全文大小：653 K
• 卷排序：42

文摘

The prey harvesting function of the differential algebraic system is nonlinear. Using local parameterization method to investigate the Hopf bifurcation. Both the singularity induced bifurcation and Hopf bifurcation have been discussed. A reasonable range of the economic profit is given by our system.