Geometric approach for global asymptotic stability of three-dimensional Lotka-Volterra systems
From MaRDI portal
Publication:663732
DOI10.1016/j.jmaa.2011.11.075zbMath1242.34087OpenAlexW2089487530MaRDI QIDQ663732
Publication date: 27 February 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.11.075
Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)
Related Items
Global asymptotic stability for the SEIRS models with varying total population size ⋮ Modeling and Analysis of the Multiannual Cholera Outbreaks with Host-Pathogen Encounters ⋮ Geometric approach to global asymptotic stability for the SEIRS models in epidemiology ⋮ Global stability of infectious disease models with contact rate as a function of prevalence index ⋮ Global stability of SAIRS epidemic models
Cites Work
- Three limit cycles for a three-dimensional Lotka-Volterra competitive system with a heteroclinic cycle
- Four limit cycles for a three-dimensional competitive Lotka-Volterra system with a heteroclinic cycle
- Logarithmic norms and projections applied to linear differential systems
- Global stability in two species interactions
- A criterion for stability of matrices
- On Bendixson's criterion
- Qualitative stability and global stability for Lotka-Volterra systems
- Global stability conditions for three-dimensional Lotka-Volterra systems
- A polynomial counterexample to the Markus-Yamabe conjecture
- A solution to the bidimensional global asymptotic stability conjecture
- Compound matrices and ordinary differential equations
- A method for proving the non-existence of limit cycles
- Global analysis of competition for perfectly substitutable resources with linear response
- Some applications of Hausdorff dimension inequalities for ordinary differential equations
- On derivations arising in differential equations
- Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems
- Three-Dimensional Competitive Lotka--Volterra Systems with no Periodic Orbits
- Evolutionary Games and Population Dynamics
- Global Results for an Epidemic Model with Vaccination that Exhibits Backward Bifurcation
- From local to global behavior in competitive Lotka-Volterra systems
- Chebyshev-Haar systems in the theory of discontinuous Kellogg kernels
- A Geometric Approach to Global-Stability Problems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
