Open AccessDynamics of diffusive modified Previte-Hoffman food web model
Author(s) -
Abdullah Aldurayhim,
Amr Elsonbaty,
A. A. Elsadany
Publication year - 2020
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.2020234
Subject(s) - uniqueness , hopf bifurcation , mathematics , stability (learning theory) , turing , instability , dynamics (music) , food web , bifurcation , statistical physics , space (punctuation) , physics , computer science , mathematical analysis , mechanics , ecology , biology , nonlinear system , quantum mechanics , machine learning , acoustics , programming language , predation , operating system
This paper formulates and analyzes a modified Previte-Hoffman food web with mixed functional responses. We investigate the existence, uniqueness, positivity and boundedness of the proposed model's solutions. The asymptotic local and global stability of the steady states are discussed. Analytical study of the proposed model reveals that it can undergo supercritical Hopf bifurcation. Furthermore, analysis of Turing instability in spatiotemporal version of the model is carried out where regions of pattern creation in parameters space are obtained. Using detailed numerical simulations for the diffusive and non-diffusive cases, the theoretical findings are verified for distinct sets of parameters.