Dynamics and Patterns of a Diffusive Prey-Predator System with a Group Defense for Prey. (8th January 2018)

• Record Type: Journal Article
• Authors: Zhu, Honglan; Zhang, Xuebing
• Other Names: Goodrich Chris Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2018(2018)
• Publication Date: 2018-01-08
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2018/6519696
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : We study a diffusive prey-predator system with a group defense for prey. Under Neumann boundary condition, we analyze local and stability of nonnegative constant steady states and the existence and nonexistence of nonconstant steady states. These results also exhibit the critical role of the system parameters leading to the formation of spatiotemporal patterns.