AIMS Mathematics (Apr 2021)

The stability of bifurcating solutions for a prey-predator model with population flux by attractive transition

  • Qian Xu,
  • Chunfeng Xing

DOI
https://doi.org/10.3934/math.2021407
Journal volume & issue
Vol. 6, no. 7
pp. 6948 – 6960

Abstract

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This paper investigates the stability of bifurcating solutions for a prey-predator model with population flux by attractive transition. Applying spectral analysis and the principle of exchange of stability, we obtain that the bifurcating solutions are stable/unstable under some certain conditions.

Keywords