Global dynamics of a predator–prey model with defense mechanism for prey. (December 2016)

• Record Type: Journal Article
• Authors: Xu, Chaoqun; Yuan, Sanling; Zhang, Tonghua
• Is Part Of: Applied mathematics letters. Volume 62(2016:Dec.)
• Page Start: 42
• Page End: 48
• Publication Date: 2016-12
• Subjects: Predator–prey model -- Defense mechanism -- Extinction domain -- Limit cycle -- Global dynamics; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2016.06.013
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: 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.