The application of Liénard transformations to predator-prey systems
DOI10.1007/s12346-023-00947-0OpenAlexW4391225428MaRDI QIDQ6193000
No author found.
Publication date: 12 March 2024
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-023-00947-0
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Population dynamics (general) (92D25) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weierstrass integrability in Liénard differential systems
- On general algebraic mechanisms for producing centers in polynomial differential systems
- An algebraic approach to the classification of centers in polynomial Liénard systems
- On the distribution and number of limit cycles for quadratic systems with two foci
- Center conditions for polynomial Liénard systems
- The uniqueness of limit cycles for Liénard system
- A predator-prey model with Ivlev's functional response
- Qualitative and bifurcation analysis in a Leslie-Gower model with Allee effect
- On Liénard's equation and the uniqueness of limit cycles in predator- prey systems
- Cubic Lienard equations with linear damping
- A STOCHASTIC MODEL FOR STUDYING THE PROPERTIES OF CERTAIN BIOLOGICAL SYSTEMS BY NUMERICAL METHODS
- Proof of the uniqueness theorem of limit cycles of generalized liénard equations
- Uniqueness of a Limit Cycle for a Predator-Prey System
- Competing Predators
- Uniqueness of limit cycles in polynomial systems with algebraic invariants
- On the Uniqueness of the Limit Cycle of the Generalized Liénard Equation
- Geometric Configurations of Singularities of Planar Polynomial Differential Systems
- SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
This page was built for publication: The application of Liénard transformations to predator-prey systems
