Bifurcations of a predator-prey system of Holling and Leslie types
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Publication:2468112
DOI10.1016/j.chaos.2006.03.068zbMath1156.34029OpenAlexW2010265353WikidataQ115580028 ScholiaQ115580028MaRDI QIDQ2468112
Publication date: 30 January 2008
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2006.03.068
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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
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Cites Work
- Unnamed Item
- Unnamed Item
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees
- Hopf bifurcation analysis for a predator-prey system of Holling and Leslie type
- The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model
- Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator.
- The study of predator--prey system with defensive ability of prey and impulsive perturbations on the predator
- The properties of a stochastic model for the predator-prey type of interaction between two species
- Global Stability for a Class of Predator-Prey Systems
- SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
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