Hopf bifurcation in a delayed Lotka-Volterra predator-prey system
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Publication:2472806
DOI10.1016/j.nonrwa.2006.09.007zbMath1149.34048OpenAlexW2028932921MaRDI QIDQ2472806
Publication date: 25 February 2008
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2006.09.007
Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18)
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Cites Work
- Unnamed Item
- Delay differential equations: with applications in population dynamics
- Local Hopf bifurcation and global periodic solutions in a delayed predator--prey system
- Harmless delays for uniform persistence
- Theory of functional differential equations. 2nd ed
- Uniform persistence in functional differential equations
- Convergence results in a well-known delayed predator-prey system
- Stability analysis on a predator-prey system with distributed delays
- Stability and bifurcation in a harmonic oscillator with delays
- Stability and bifurcation in a neural network model with two delays.
- Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
- Stability and delays in a predator-prey system
- Hopf bifurcation and global periodic solutions in a delayed predator -- prey system
- Stability Criteria for a System Involving Two Time Delays
- Global existence of periodic solutions in a class of delayed Gause-type predator-prey systems
- Stability and bifurcation for a delayed predator-prey model and the effect of diffusion