Lotka-Volterra representation of general nonlinear systems

DOI10.1016/S0025-5564(96)00131-9zbMath0902.92001arXiv1910.01515OpenAlexW2040720350WikidataQ73066221 ScholiaQ73066221MaRDI QIDQ1360026

Benito Hernández-Bermejo, Víctor Fairén

Publication date: 24 August 1997

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.01515

zbMATH Keywords

invarianceLotka-Volterra systemsequivalence classesalgebraic properties

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) General biology and biomathematics (92B05)

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Cites Work

• Equivalence between S-systems and Volterra systems
• Orthogonal transforms of the Lorenz- and Rössler-equation
• Recasting nonlinear differential equations as S-systems: a canonical nonlinear form
• Symmetries of \(S\)-systems
• Tumor growth \textit{in vivo} and as multicellular spheroids compared by mathematical models
• Concepts and models of a quantitative sociology. The dynamics of interacting populations
• Cooperative catalysis and chemical chaos: A chemical model for the Lorenz equations
• Universal formats for nonlinear ordinary differential systems
• Families of invariants of the motion for the Lotka–Volterra equations: The linear polynomials family
• A Neural Network Modeled by an Adaptive Lotka-Volterra System
• Hamiltonian structures for the n-dimensional Lotka–Volterra equations
• Nonpolynomial vector fields under the Lotka-Volterra normal form
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