publication . Article . 2017

Ciclos límites en modelos depredador-presa

Liliana Puchuri Medina;
Open Access Spanish; Castilian
  • Published: 13 Jul 2017
  • Publisher: National University of Trujillo - Academic Department of Mathematics
Abstract
The classic Lotka-Volterra model belongs to a family of differential equations known as “Generalized Lotka-Volterra”, which is part of a classification of four models of quadratic fields with center. These models have been studied to address the Hilbert infinitesimal problem, which consists in determine the number of limit cycles of a perturbed hamiltonian system with center. In this work, we first present an alternative proof of the existence of centers in Lotka-Volterra predator-prey models. This new approach is based in algebraic equations given by Kapteyn, which arose to answer Poincaré’s problem for quadratic fields. In addition, using Hopf Bifurcation theo...
Subjects
free text keywords: Ciclos límites; centro; campos hamiltonianos, Limit Cycles; Centers; Hamiltonian Fields, Quadratic equation, Mathematical analysis, Mathematics, Algebraic equation, Differential equation, Applied mathematics, Hopf bifurcation, symbols.namesake, symbols, Infinitesimal, Perturbation (astronomy), Hamiltonian system, Ciclos límites, centro, campos hamiltonianos, Applied mathematics. Quantitative methods, T57-57.97, QA1-939
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publication . Article . 2017

Ciclos límites en modelos depredador-presa

Liliana Puchuri Medina;