Stability and Hopf bifurcation for a delayed prey-predator system with diffusion effects
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Publication:990557
DOI10.1016/j.amc.2007.03.033zbMath1193.35098OpenAlexW2015956660WikidataQ115598598 ScholiaQ115598598MaRDI QIDQ990557
Publication date: 1 September 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2007.03.033
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Partial functional-differential equations (35R10) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)
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Cites Work
- Unnamed Item
- Unnamed Item
- Harmless delays for uniform persistence
- The Hopf bifurcation and its stability for semilinear diffusion equations with time delay arising in ecology
- Global stability in diffusive delay Lotka-Volterra systems
- Stability and Hopf bifurcation for a delay competition diffusion system.
- Theory and applications of partial functional differential equations
- Stability and Hopf bifurcation for a population delay model with diffusion effects
- Stability and delays in a predator-prey system
- Normal forms and Hopf bifurcation for partial differential equations with delays
- Stability and bifurcation for a delayed predator-prey model and the effect of diffusion
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