Stability and permanence of a discrete-time two-prey one-predator system with Holling Type-III functional response

Ritwick Banerjee, Pritha Das and Debasis Mukherjee

Chaos, Solitons & Fractals, 2018, vol. 117, issue C, 240-248

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.

Keywords: Discrete ecological system; Two-prey one-predator model; Holling Type-III functional response; Existence; Permanence (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:117:y:2018:i:c:p:240-248

DOI: 10.1016/j.chaos.2018.10.032

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