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Multiple Bifurcations of Critical Period for a Quartic Kolmogorov Model

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Abstract

Our work is concerned with the bifurcation of critical period for a quartic Kolmogorov system. By computing the periodic constants carefully, we show that point (1,1) can be a weak center of fourth order, and the weak centers condition is given. Moreover, point (1,1) can bifurcate 4 critical periods under a certain condition. In terms of multiple bifurcation of critical periodic problem for Kolmogorov model, studied results are less seen, our work is good and interesting.

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Acknowledgments

The authors thank the reviewers for their careful review and the editors for improving our work.

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Authors and Affiliations

  1. School of Mathematics, Changsha Normal University, Changsha, 410100, China

    Chao-xiong Du

  2. School of Mathematics and Statistics, Guangxi Normal University, Guilin, 541001, China

    Wen-tao Huang

Authors
  1. Chao-xiong Du
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  2. Wen-tao Huang
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Corresponding author

Correspondence to Chao-xiong Du.

Additional information

This paper is supported by National Natural Science Foundation of China (12061016) and the Research Fund of Hunan provincial education department(18A525) and the Hunan provincial Natural Science Foundation of China (2020JJ4630)

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Du, Cx., Huang, Wt. Multiple Bifurcations of Critical Period for a Quartic Kolmogorov Model. Acta Math. Appl. Sin. Engl. Ser. 37, 673–681 (2021). https://doi.org/10.1007/s10255-021-1036-6

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  • DOI: https://doi.org/10.1007/s10255-021-1036-6

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