A remark on "Study of a Leslie-Gower predator-prey model with prey defense and mutual interference of predators" [Chaos, Solitons & Fractals 120 (2019) 1–16]. (June 2019)

• Record Type: Journal Article
• Authors: Parshad, Rana D.; Takyi, Eric M.; Kouachi, Said
• Is Part Of: Chaos, solitons and fractals. Volume 123(2019)
• Page Start: 201
• Page End: 205
• Publication Date: 2019-06
• Subjects: Primary: 34C11 -- 34D45 -- Secondary: 92D25 -- 92D40; Three-species food chain -- Invariant set -- Finite time blow-up; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2019.04.011
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: The attracting set as claimed in Raw et al., is shown not to be attracting. Finite time blow up is demonstrated, using new methods, that are not there in the current literature. The invariance of the set claimed in Raw et al., is shown to be invariant only for boundary equilibrium. Abstract: In Mishra et al. (2019, [12]) a classical three-species modified Leslie-Gower system is considered, with mutual interference and prey-defense. The existence of a globally attracting invariant set is established for the system, under certain parametric restrictions. We show that the claimed invariant set is not globally attracting, and that finite time blow-up can occur for sufficiently large or small initial data. We further show that the invariant set cannot contain any interior equilibrium.