A Three-Species Food Chain System with Two Types of Functional Responses
Joint Authors
Do, Younghae
Baek, Hunki
Lim, Yongdo
Lim, Dongkyu
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-03-14
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
In recent decades, many researchers have investigated the ecological models with three and more species to understand complex dynamical behaviors of ecological systems in nature.
However, when they studied the models with three species, they have just considered the functional responses between prey and mid-predator and between mid-predator and top predator as the same type.
However, in the paper, in order to describe more realistic ecological world, a three-species food chain system with two types of functional response, Holling type and Beddington-DeAngelis type, is considered.
It is shown that this system is dissipative.
Also, the local and global stability of equilibrium points of the system is established.
In addition, conditions for the persistence of the system are found according to the existence of limit cycles.
Some numerical examples are given to substantiate our theoretical results.
Moreover, we provide numerical evidence of the existence of chaotic phenomena by illustrating bifurcation diagrams of system and by calculating the largest Lyapunov exponent.
American Psychological Association (APA)
Do, Younghae& Baek, Hunki& Lim, Yongdo& Lim, Dongkyu. 2011. A Three-Species Food Chain System with Two Types of Functional Responses. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-509382
Modern Language Association (MLA)
Do, Younghae…[et al.]. A Three-Species Food Chain System with Two Types of Functional Responses. Abstract and Applied Analysis No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-509382
American Medical Association (AMA)
Do, Younghae& Baek, Hunki& Lim, Yongdo& Lim, Dongkyu. A Three-Species Food Chain System with Two Types of Functional Responses. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-509382
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509382