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Discrete Dynamics in Nature and Society
Volume 2018, Article ID 6519696, 9 pages
Research Article

Dynamics and Patterns of a Diffusive Prey-Predator System with a Group Defense for Prey

1Business School, Huaiyin Institute of Technology, Huaian, China
2College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, China

Correspondence should be addressed to Xuebing Zhang; moc.361@0301bxz

Received 11 September 2017; Accepted 26 November 2017; Published 8 January 2018

Academic Editor: Chris Goodrich

Copyright © 2018 Honglan Zhu and Xuebing Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.