A Geometrical and Numerical Study of the Main Sizes of the Lotka-Volterra Models
Journal Title: ANALELE UNIVERSITATII DIN CRAIOVA - Seria Inginerie electrica - Year 2014, Vol 38, Issue 38
Abstract
The blend of geometry and numerical analysis that is taking place in the present material produces a subject with can gives a lots of detail and richness for the case of dynamical models arising in mathematics, science and engineering. The goal of this paper is the geometrical and numerical study of the main sizes of the mathematical models of the multispecies interactions which are important in determining long-time dynamics, based on the application of various notions from the theory of dynamical systems to the numerical approximation of initial value problems over long-time intervals. The numerical methods are widely used for the study of complicated temporal behavior of dynamical systems, in order to approximate different types of invariants sets or invariant manifolds and also to extract statistical information on the dynamical behavior in the computation of natural invariant measures or almost invariants sets. The present study is a interplay between dynamical systems geometrical theory and computational calculus of dynamical systems, knowing that the theory provides a framework for interpreting numerical observations and foundations for efficient numerical algorithms. We perform a computational study for the case of four important examples: prey-predator 2D Lotka-Volterra system, Bailey model for the evolution of epidemics, classical Kermack- McKendrick model of evolution of epidemics and the prey-predator 3D Lotka-Volterra system.
Authors and Affiliations
Romulus Militaru, Florian Munteanu
Keywords
Related Articles
- EP ID EP132225
- DOI -
- Views 165
- Downloads 0
Dynamic State of Low Power Asynchronous Motors in Direct-on-Line Starting
The research opportunity is explained by the results obtained in modelling and simulation of asynchronous motors, in the purpose of increasing their technical and economic performances when they operate in dynamic states...
EXPERIMENTAL DETERMINATION OF PARAMETERS DESCRIPTIVE OF MAGNETO-RHEOLOGICAL VALVE
In this paper is presented an experimental test stand of rheological stop-valves. Rheological stop-valve structures are robust, simple in terms of constructive and easy to control. However, due to non-Newtonian fluid flo...
Analysis of a Step-Down DC-DC Converter: Linear Versus Nonlinear Circuit
This paper aims to investigate the step-down dc-dc converters from circuit analysis viewpoint. These converters have a lot of utilizations, including different applications in power energy conversion domain, being...
Analyzing Some Characteristics of a Cylinderlike Shape Fiberglass-Epoxy Resin Composite
This paper introduces a new epoxy resin based composite material, reinforced with glass fibers, called Rotasteclofirep, manufactured by S.C. Electroputere Company, Romania. The first part of this paper includes some refe...
DIGITAL EQUIPMENT FOR THE TEMPERATURE CONTROL INSIDE AN ENCLOSURE. THE HARDWARE AND SOME EXPERIMENTAL RESULTS
The paper deals with an experimental hardware platform designed to implement and test different control algorithms for the temperature inside a thermal enclosure. The equipment was designed in a modular way and its main...