Stability analysis of a stage structure model with spatiotemporal delay effect

详细信息    查看全文

• 作者：Shuling Yan ; Shangjiang Guo ; ^{shangjguo@hnu.edu.cn}
• 关键词：Stage structure model ; Spatiotemporal delay ; Lyapunov&ndash ; Schmidt reduction ; Dirichlet boundary condition
• 刊名：Computers & Mathematics with Applications
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：73
• 期：2
• 页码：310-326
• 全文大小：786 K
• 卷排序：73

文摘

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.