Dynamics on a two-prey and one-predator system with hybrid functional responses

HUNKI, BAEK (2016) Dynamics on a two-prey and one-predator system with hybrid functional responses. In: Fifth International Conference On Advances in Applied Science and Environmental Technology- ASET 2016, 25-26 September 2016, Bangkok, Thailand.

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Abstract

In this paper, to depict the ecological world realistically, we adopt a two preys and one predator system with hybrid types of functional response, Holling type and Beddington-DeAngelis type. In fact, we show that this system is dissipative and find a necessary condition for the existence of the predator species. In addition, conditions for the persistence of the system are found. And we give a numerical example to attest to our theoretical results. Furthermore, the existence of chaotic phenomena is illustrated by bifurcation diagrams of the system.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: predator-prey system, Holling type, Beddington-DeAngelis type, dissipative system, persistence, bifurcation diagram.
Depositing User: Mr. John Steve
Date Deposited: 20 Mar 2019 11:33
Last Modified: 20 Mar 2019 11:33
URI: http://publications.theired.org/id/eprint/706

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