Periodic orbits for a three-dimensional biological differential systems

DOI10.1155/2013/465183zbMath1296.34122OpenAlexW2084398537WikidataQ58916341 ScholiaQ58916341MaRDI QIDQ2015565

Renato Colucci, Daniel E. Nuñez

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/465183

zbMATH Keywords

indirect predation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (5)

Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing ⋮ Semi-Kolmogorov models for predation with indirect effects in random environments ⋮ Predation with indirect effects in fluctuating environments ⋮ On the stability and equilibrium points of multistaged \(S I(n) R\) epidemic models ⋮ On the global asymptotic stability of a predator-prey model with Crowley-Martin function and stage structure for prey

Cites Work

• Unnamed Item
• Elements of applied bifurcation theory.
• Chaos in one-predator, two-prey models: General results from bifurcation theory
• Coexistence in a one-predator, two-prey system with indirect effects
• LIMIT CYCLE BEHAVIOR IN THREE- OR HIGHER-DIMENSIONAL NON-LINEAR SYSTEMS: THE LOTKA–VOLTERRA EXAMPLE
• Uniformly Persistent Systems
• Three-Dimensional Competitive Lotka--Volterra Systems with no Periodic Orbits
• CHAOS IN A THREE-DIMENSIONAL VOLTERRA–GAUSE MODEL OF PREDATOR–PREY TYPE

This page was built for publication: Periodic orbits for a three-dimensional biological differential systems