Local bifurcation of a Ronsenzwing-MacArthur predator prey model with two prey-taxis

Xue Xu; Yibo Wang; Yuwen Wang; Xue Xu; Yibo Wang; Yuwen Wang

doi:10.3934/mbe.2019086

Mathematical Biosciences and Engineering

2019, Volume 16, Issue 4: 1786-1797. doi: 10.3934/mbe.2019086

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Local bifurcation of a Ronsenzwing-MacArthur predator prey model with two prey-taxis

1.
Department of Mathematics, Harbin University, Harbin, Heilongjiang, 150001, P.R. China
2.
Institute of Telecommunication Satellite, China Academy of Space Technology, P.R. China
3.
School of Mathematical and Science, Harbin Normal University, Harbin, Heilongjiang, 150025, P.R. China

Received: 22 October 2018 Accepted: 24 January 2019 Published: 06 March 2019

The paper investigates the steady state bifurcation analysis in a general Ronsenzwing-MacArthur predator prey model with two prey-taxis under Neumann boundary conditions. The results show that the rich dynamics in predator prey systems with two prey taxis.
- predator-prey,
- taxis,
- steady state,
- bifurcation,
- Neumann boundary
Citation: Xue Xu, Yibo Wang, Yuwen Wang. Local bifurcation of a Ronsenzwing-MacArthur predator prey model with two prey-taxis[J]. Mathematical Biosciences and Engineering, 2019, 16(4): 1786-1797. doi: 10.3934/mbe.2019086

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Abstract

The paper investigates the steady state bifurcation analysis in a general Ronsenzwing-MacArthur predator prey model with two prey-taxis under Neumann boundary conditions. The results show that the rich dynamics in predator prey systems with two prey taxis.

References

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