JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (7): 9-15.doi: 10.6040/j.issn.1671-9352.0.2020.028

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Bifurcation analysis of positive solutions for a predator-prey model with B-D functional response

YANG Zhong-liang, GUO Gai-hui*   

  1. School of Arts and Sciences, Shannxi University of Science &
    Technology, Xian 710021, Shannxi, China
  • Online:2020-07-20 Published:2020-07-08

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Abstract: The steady-state of the predator-prey model with Beddington-DeAngelis functional response and the fear effect is studied. We first obtain the local bifurcation solutions by the bifurcation theory, then the global structure of the coexistence solutions is established. Moreover, some stability results of the bifurcation solutions are given by linear eigenvalue perturbation theory.

Key words: Beddington-DeAngelis functional response, fear effect, bifurcation, stability

CLC Number: 

  • O175.25
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