Stability and bifurcation analysis for a predator-prey model with discrete and distributed delay
DOI10.1155/2013/454097zbMath1296.34165OpenAlexW2023153096WikidataQ58916314 ScholiaQ58916314MaRDI QIDQ2015553
Ruiqing Shi, Sanyi Tang, Junmei Qi
Publication date: 23 June 2014
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/454097
Population dynamics (general) (92D25) 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) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Invariant manifolds of functional-differential equations (34K19)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hopf bifurcation of a ratio-dependent predator-prey system with time delay
- Delay differential equations: with applications in population dynamics
- Dynamical behavior of a ratio dependent predator-prey system with distributed delay
- Stability and bifurcation in a harvested one-predator--two-prey model with delays
- Stability and bifurcation analysis on a logistic model with discrete and distributed delays
- Impulsive state feedback control of a predator-prey model
- The stability and Hopf bifurcation for a predator-prey system with time delay
- Time lags and global stability in two-species competition
- Periodic solutions for a prey-predator differential delay equation
- Stability analysis on a predator-prey system with distributed delays
- Stability and Hopf bifurcation for a delay competition diffusion system.
- Bifurcations and chaos in a predator-prey model with delay and a laser-diode system with self-sustained pulsations.
- The existence of periodic solutions for some models with delay
- Stability and delays in a predator-prey system
- Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays
- Persistence in nonautonomous predator--prey systems with infinite delays
- Chaos in a Lotka-Volterra predator-prey system with periodically impulsive ratio-harvesting the prey and time delays
- Global qualitative analysis for a predator-prey system with delay
- Hopf bifurcation in a delayed Lotka-Volterra predator-prey system
- Complex dynamic behaviors of a discrete-time predator-prey system
- Hopf bifurcation and chaos analysis of Chen's system with distributed delays
- Analysis of a predator-prey model with Holling II functional response concerning impulsive control strategy
- Chaotic behavior of a chemostat model with Beddington-DeAngelis functional response and periodically impulsive invasion
- Periodic solutions of a nonautonomous predator--prey system with stage structure and time delays
- Stability and bifurcation analysis for a delayed Lotka--Volterra predator--prey system
- Periodicity in a nonlinear discrete predator-prey system with state dependent delays
- Stability and bifurcation analysis in Van der Pol's oscillator with delayed feedback
- Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays
This page was built for publication: Stability and bifurcation analysis for a predator-prey model with discrete and distributed delay
