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Numerical Evaluation of External Effects on Interspecific Interacting Populations
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  • 分类:O175.12[理学—数学;理学—基础数学] Q968.1[生物学—昆虫学]
  • 作者机构:[1]Department of Mathematics, College of Science, Beijing Forestry University, Beijing 100083, China, [2]Department of Mathematical Sciences, Faculty of Science, Yamagata University, Yamagata 990-8560, Japan
  • 相关基金:This work was supported by National Natural Science Foundation of China (No. 11501032), and Scientific Research Grant-in-Aid from JSPS (No. 15K04987). The authors thank Beijing Forestry University and Yarnagata University for providing visiting opportunity. The work was partially done during the visit of the first author to Yamagata University.
中文摘要:

In this paper,effects of environmental and hunting parameters on the interspecific interacting populations are considered by applying the Rosenzweig-Mac Arthur model with the Holling type II functional response. Attenuating functions of the carrying capacity are introduced with a concern on the hunting parameters. We carry out numerical study to investigate how the population densities behave when environmental quantities change. We obtain the Hopf bifurcation diagrams from numerical results.

英文摘要:

In this paper, effects of environmental and hunting parameters on the interspecific interacting populations are considered by applying the Rosenzweig-MacArthur model with the Holling type II functional response. Attenuating functions of the carrying capacity are introduced with a concern on the hunting parameters. We carry out numerical study to investigate how the population densities behave when environmental quantities change. We obtain the Hopf bifurcation diagrams from numerical results.

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