Global dynamics of a predator-prey model with defense mechanism for prey

详细信息    查看全文

• 作者：Chaoqun Xu^a ; ^b ; Sanling Yuan^b ; ^{sanling@usst.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Tonghua Zhang^c
• 关键词：Predator&ndash ; prey model ; Defense mechanism ; Extinction domain ; Limit cycle ; Global dynamics
• 刊名：Applied Mathematics Letters
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：62
• 期：Complete
• 页码：42-48
• 全文大小：840 K

文摘

Recently, Venturino and Petrovskii proposed a general predator–prey model with group defense for prey species (Venturino and Petrovskii, 2013). The local dynamics had been studied and showed that the model might undergo Hopf bifurcation, and have an extinction domain. In this paper, we dedicate ourselves to the investigation of the global dynamics of the model by establishing the conditions of the nonexistence of periodic orbits, and the existence and uniqueness of limit cycles.