A diffusive toxin producing phytoplankton model with maturation delay and three-dimensional patch. (1st March 2017)

• Record Type: Journal Article
• Authors: Yang, Ruizhi; Liu, Ming; Zhang, Chunrui
• Is Part Of: Computers & mathematics with applications. Volume 73:issue 5(2017)
• Page Start: 824
• Page End: 837
• Publication Date: 2017-03-01
• Subjects: Phytoplankton–zooplankton -- Patch -- Delay -- Hopf bifurcation; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2017.01.006
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: The dynamics of a diffusive toxin producing phytoplankton model with maturation delay and three-dimensional patch subject to Neumann boundary condition is investigated in this paper. The global stability of boundary equilibrium is obtained. The local stability of the coexistent equilibrium and the existence of Hopf bifurcation are investigated. The conditions for determining the bifurcation direction and the stability of the bifurcating periodic solution are derived.