Stability analysis of a stage structure model with spatiotemporal delay effect. (15th January 2017)

• Record Type: Journal Article
• Authors: Yan, Shuling; Guo, Shangjiang
• Is Part Of: Computers & mathematics with applications. Volume 73:issue 2(2017)
• Page Start: 310
• Page End: 326
• Publication Date: 2017-01-15
• Subjects: Stage structure model -- Spatiotemporal delay -- Lyapunov–Schmidt reduction -- Dirichlet boundary condition; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2016.11.029
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: This paper is concerned with a stage structure model with spatiotemporal delay and homogeneous Dirichlet boundary condition. The existence of steady state solution bifurcating from the trivial equilibrium is obtained by using Lyapunov–Schmidt reduction. The stability analysis of the positive spatially nonhomogeneous steady state solution is investigated by a detailed analysis of the characteristic equation. Using the properties of the omega limit set, we obtain the global convergence of the solution with finite delay.