On discrete Lotka-Volterra type models

Mukhamedov, Farrukh and Saburov, Mansoor (2012) On discrete Lotka-Volterra type models. International Journal of Modern Physics: Conference Series, 9 (1). pp. 341-346. ISSN 2010-1945

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Abstract

The Lotka-Volterra (in short LV) model is a second order nonlinear differential equation frequently used to describe the dynamics of biological systems in which two groups of species, predators and their preys interact. One of the basic results of the LV model is that under suitable conditions the LV model can exhibit any asymptotical behavior such as equilibrium states, periodic cycles, and attractors. The discrete analogy of LV model has been considered by many researchers and has been called a quadratic LV model. In a discrete case, one of the unexpected results is that a quadratic LV model cannot exhibit a periodic cycle. In this paper we study nonlinear LV type models which include quadratic LV as a particular case. Unlike quadratic LV models, LV type models can exhibit any asymptotical behavior such as equilibrium states, periodic cycles, and attractors.

Item Type:	Article (Journal)
Additional Information:	5537/23712
Uncontrolled Keywords:	LV type model; equilibrium state; periodic cycle
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr. Farrukh Mukhamedov
Date Deposited:	12 Jun 2012 08:43
Last Modified:	28 Dec 2012 14:27
URI:	http://irep.iium.edu.my/id/eprint/23712

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