IJPAM: Volume 109, No. 2 (2016)
A CONTINUOUS ECOLOGICAL MODEL
Fudziah Ismail, Norfifah Bachok
Institute for Mathematical Research
University Putra Malaysia
Technical Instructor Preparing Institute
Middle Technical University
Department of Mathematics
College of Science
University of Baghdad
Abstract. In this paper a technique of controlling chaotic behavior of a three species food chain model with Sokol-Howell functional response by involving intraspecific competition is discussed. The model is proved to be dissipative in the positive octant. Controlling conditions of chaotic behavior of the system are carried out. Stability analysis of the equilibrium points is analyzed. Lyaponuv exponents and bifurcation diagrams are used to study the complex dynamics of the model. The impact of the intraspecific competition in the dynamics of the food chain model with Sokol-Howell response is investigated theoretically as well as numerically.
Received: March 2, 2016
AMS Subject Classification: 37D45, 37D50, 37C75
Key Words and Phrases: bifurcation diagram, chaotic, period doubling, Sokol-Howell response
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DOI: 10.12732/ijpam.v109i2.2 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 177 - 191