Stochastic delay Lotka-Volterra system to interacting population dynamics

Authors:
André A. Keller
Affiliations:
Université de Lille 1, Sciences et Technologies, Villeneuve d'Ascq, France at CLERSE a Research Unit of the French, Centre National de la Recherche Scientifique
Venue:
ASM'11 Proceedings of the 5th international conference on Applied mathematics, simulation, modelling
Year:
2011

Citing 4
Cited 0

Stochastic differential equations (3rd ed.): an introduction with applications

Stochastic differential equations (3rd ed.): an introduction with applications
Economic dynamics: Phase diagrams and their economic application

Economic dynamics: Phase diagrams and their economic application
Introduction to the numerical analysis of stochastic delay differential equations

Journal of Computational and Applied Mathematics - Special issue on numerical anaylsis 2000 Vol. VI: Ordinary differential equations and integral equations
Positive Solutions of General Delayed Competitive or Cooperative Lotka-Volterra Systems

ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks

Quantified Score

Hi-index	0.00

Visualization

Abstract

This article introduces to the modeling process and reviews the essential features of the well-known Lotka-Volterra multispecies system in ecological modelling. The interacting population dynamics may be competitive or cooperative in the noisy environment of real world situations. In this stochastic context, the conditions for positive non exploding solutions are given. The computations have been carried out by using the software Wolfram Mathematica ® 8.