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Delay induced spatiotemporal patterns in a diffusive intraguild predation model with Beddington-DeAngelis functional response

1. School of Science, Zhejiang University of Science & Technology, Hangzhou, 310023, China
2. School of Mathematics and Statistics, Central South University, Changsha, 410083, China
3. Department of Mathematics and Statistics, University of New Brunswick, Fredericton, E3B 5A3, Canada

A diffusive intraguild predation model with delay and Beddington-DeAngelis functional response is considered. Dynamics including stability and Hopf bifurcation near the spatially homogeneous steady states are investigated in detail. Further, it is numerically demonstrated that delay can trigger the emergence of irregular spatial patterns including chaos. The impacts of diffusion and functional response on the model's dynamics are also numerically explored.

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Keywords Intraguild predation; delay; diffusion; Beddington-DeAngelis functional response; spatiotemporal dynamics; Hopf bifurcation; chaos

Citation: Renji Han, Binxiang Dai, Lin Wang. Delay induced spatiotemporal patterns in a diffusive intraguild predation model with Beddington-DeAngelis functional response. Mathematical Biosciences and Engineering, 2018, 15(3): 595-627. doi: 10.3934/mbe.2018027

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