Title :
Computational analysis of conservation laws for prey-predator lotka-volterra systems
Author :
Militaru, R. ; Munteanu, F.
Author_Institution :
Dept. of Appl. Math., Univ. of Craiova, Dolj, Romania
Abstract :
The purpose of this paper is to study conservation laws for the mathematical models of the multi-species interactions. Our 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.
Keywords :
Chua´s circuit; Volterra equations; conservation laws; geometry; nonlinear network analysis; predator-prey systems; Lotka-Volterra systems; computational analysis; computational calculus; conservation laws; dynamical systems; geometrical theory; mathematical models; multi-species interactions; numerical algorithms; prey-predator systems; Chaos; Equations; Evolution (biology); Mathematical model; Numerical models; Sociology; Statistics; Runge-Kutta methods; Volterra-Lotka equations; conservation law; symmetry;
Conference_Titel :
Applied and Theoretical Electricity (ICATE), 2014 International Conference on
Conference_Location :
Craiova
DOI :
10.1109/ICATE.2014.6972592
