Stability and permanence of a discrete-time two-prey one-predator system with Holling Type-III functional response. (December 2018)

• Record Type: Journal Article
• Authors: Banerjee, Ritwick; Das, Pritha; Mukherjee, Debasis
• Is Part Of: Chaos, solitons and fractals. Volume 117(2018)
• Page Start: 240
• Page End: 248
• Publication Date: 2018-12
• Subjects: Discrete ecological system -- Two-prey one-predator model -- Holling Type-III functional response -- Existence -- Permanence; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2018.10.032
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: This paper deals with the complex dynamical behavior of a discrete-time two-prey one-predator system with Holling Type-III functional response, coupled with inter-specific competition among the prey due to dietary overlap and intra-specific competition among the predators. The existence and local stability criteria of the steady states of the system are analyzed and the conditions for permanent co-existence of the three species are obtained. Finally, using a suitable example, some numerical simulations are performed to illustrate the rich dynamics of the system.