Extension Of The Logistic Equation With Piecewise Constant Arguments And Population Dynamics

Description

Population dynamics is the dominant branch of mathematical biology. The first model for population dynamics was developed by Thomas Malthus. A more complicated model was developed by Pierre Fran&ccedil / ois Verhulst and it is called the
logistic equation. Our aim in this thesis is to extend the models using piecewise constant arguments and to find the conditions when the models have fixed points, periodic solutions and chaos with investigation of stability of periodic solutions.

Links & Downloads

1. http://etd.lib.metu.edu.tr/upload/3/12607403/index.pdf

Tags

QA Mathematics 1-939

Additional Fields

Identifer	oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/3/12607403/index.pdf
Date	01 July 2006
Creators	Altintan, Derya
Contributors	Akhmet, Marat
Publisher	METU
Source Sets	Middle East Technical Univ.
Language	English
Detected Language	English
Type	M.S. Thesis
Format	text/pdf
Rights	To liberate the content for public access