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math.DS2019★ 4 cited
Algebraic decoupling of variables for systems of ODEs of quasipolynomial form
Benito Hernández-Bermejo, Victor Fairén
A generalization of the reduction technique for ODEs recently introduced by Gao and Liu is given. It is shown that the use of algebraic methods allows the extension of the procedur…
math.DS2019★ 13 cited
Local Stability and Lyapunov Functionals for n-Dimensional Quasipolynomial Conservative Systems
Benito Hernández-Bermejo, Victor Fairén
We present a method for determining the local stability of equilibrium points of conservative generalizations of the Lotka-Volterra equations. These generalizations incorporate bot…