The effect of prey refuge and time delay on a diffusive predator‐prey system with hyperbolic mortality. (17th February 2016)

• Record Type: Journal Article
• Authors: Yang, Ruizhi; Zhang, Chunrui
• Is Part Of: Complexity. Volume 21(2016)Supplement 1
• Page Start: 446
• Page End: 459
• Publication Date: 2016-02-17
• Subjects: prey refuge -- delay -- hyperbolic mortality -- turing instability -- Hopf bifurcation; Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1002/cplx.21759
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : In this article, we investigate the effect of prey refuge and time delay on a diffusive predator‐prey system with Holling II functional response and hyperbolic mortality subject to Neumann boundary condition. More precisely, we study Turing instability of positive equilibrium by using refuge as parameter, instability and Hopf bifurcation induced by time delay. In addition, by the theory of normal form and center manifold, we derive conditions for determining the bifurcation direction and the stability of the bifurcating periodic solution. © 2016 Wiley Periodicals, Inc. Complexity 21: 446–459, 2016