Dynamics of diffusive modified Previte-Hoffman food web model

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. Analytica...

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Bibliographic Details
Published in:	Mathematical biosciences and engineering : MBE Vol. 17; no. 4; pp. 4225 - 4256
Main Authors:	Aldurayhim, A., Elsonbaty, A., Elsadany, A. A.
Format:	Journal Article
Language:	English
Published:	AIMS Press 15-06-2020
Subjects:	hopf bifurcation mixed functional responses previte-hoffman food web model stability of limit cycle turing instability
Online Access:	Get full text
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Summary:	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.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	1551-0018 1551-0018
DOI:	10.3934/mbe.2020234