Open AccessDelay induced spatiotemporal patterns in a diffusive intraguild predation model with Beddington-DeAngelis functional response
Author(s) -
Renji Han,
Binxiang Dai,
Lin Wang
Publication year - 2018
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2018027
Subject(s) - functional response , intraguild predation , hopf bifurcation , predation , stability (learning theory) , statistical physics , biological system , diffusion , homogeneous , dynamics (music) , bifurcation , mathematics , computer science , physics , ecology , biology , predator , thermodynamics , nonlinear system , quantum mechanics , machine learning , acoustics
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.