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Bifurcation analysis in a prey-predator model with nonlinear predator harvesting
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2016 (English)In: Journal of the Franklin Institute, ISSN 0016-0032, E-ISSN 1879-2693, Vol. 353, no 17, 4701-4714 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, the spatiotemporal dynamics of a delayed diffusive prey predator model with nonlinear predator harvesting is investigated. Through mathematical analysis, we obtain the conditions for Turing and Hopf bifurcation. Numerical simulations display a variety of spatial patterns including spots, strips, mixture of spots and strips, spiral, patchy structure, and chaos. The delay is found to have significant influence on the emergent spatial patterns, such as changing arm length and direction of strips, and accelerating the transformation of spatial patterns. 

Place, publisher, year, edition, pages
2016. Vol. 353, no 17, 4701-4714 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-129924DOI: 10.1016/j.jfranklin.2016.09.005ISI: 000387200900018OAI: oai:DiVA.org:umu-129924DiVA: diva2:1063534
Available from: 2017-01-10 Created: 2017-01-10 Last updated: 2017-01-10Bibliographically approved

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Zhang, Lai
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CiteExportLink to record
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