Effect of predator cannibalism and prey growth on the dynamic behavior for a predator-stage structured population model with diffusion

详细信息    查看全文

• 作者：Yunfeng Jia^a ; Yi Li^b ; ^{yi.li@csun.edu} ; Jianhua Wu^a
• 关键词：Predator-prey model ; Stage structure ; Steady states ; Stability ; Fixed point index ; Hopf bifurcation
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：15 May 2017
• 年：2017
• 卷：449
• 期：2
• 页码：1479-1501
• 全文大小：493 K
• 卷排序：449

文摘

In this paper, a predator-prey model with predator-stage structured and diffusion is concerned. We deal with the system by endowing it with the homogeneous Neumann boundary conditions. We first give the a priori estimates of positive solutions for the reduced reaction diffusion system. Secondly, we discuss the effects of predator cannibalism and prey growth on the stability of nonnegative constant steady states of the model in detail. Thirdly, we investigate the nonexistence and existence of nonconstant positive solutions. Finally, we discuss the Hopf bifurcation created by diffusion.