IJPAM: Volume 106, No. 1 (2016)

ANALYSIS OF ECOLOGICAL MODEL WITH
HOLLING TYPE IV FUNCTIONAL RESPONSE

Safaa Jawad Ali$^{1,2}$, Norihan Md. Arifin$^1$, Raid Kamel Naji$^3$,
Fudziah Ismail$^1$, Norfifah Bachok$^1$
$^1$Institute for Mathematical Research
University Putra Malaysia
MALAYSIA
$^2$Technical Instructor Preparing Institute
Middle Technical University
Baghdad, IRAQ
$^3$Department of Mathematics
College of Science
University of Baghdad
IRAQ


Abstract. In this paper a three-species of predator-prey food chain model with Holling type IV functional response is proposed. The boundedness of the solution of the model is discussed. Stability analysis of the system is carried out. The dynamics of the predator-prey food chain model with simplified Holling type IV functional response is investigated theoretically as well as numerically.

Received: November 19, 2015

AMS Subject Classification: 37D45

Key Words and Phrases: food chain, bifurcation, Holling Type IV, periodic, chaotic

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DOI: 10.12732/ijpam.v106i1.26 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 1
Pages: 317 - 331


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