Hopf bifurcation analysis on general Gause-type predator-prey models with delay
From MaRDI portal
Publication:417134
DOI10.1155/2012/363051zbMath1246.37095OpenAlexW1997422425WikidataQ58696420 ScholiaQ58696420MaRDI QIDQ417134
Publication date: 14 May 2012
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/363051
Dynamical systems in biology (37N25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcations in context of PDEs (35B32) General biology and biomathematics (92B05)
Related Items
Stability and Hopf bifurcation analysis for a Gause-type predator-prey system with multiple delays, Stability and Hopf bifurcation in a prey-predator system with disease in the prey and two delays, Neimark-Sacker bifurcation analysis on a numerical discretization of Gause-type predator-prey model with delay, Hopf bifurcation analysis for a semiratio-dependent predator-prey system with two delays, Hopf-Hopf bifurcation in the delayed nutrient-microorganism model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Positive periodic solutions for a class of neutral delay gause-type predator-prey system
- Hopf-pitchfork bifurcation in van der Pol's oscillator with nonlinear delayed feedback
- Some results on global stability of a predator-prey system
- Mathematical analysis of some three-species food-chain models
- Stability regions and transition phenomena for harvested predator-prey systems
- Hopf bifurcation analysis for a predator-prey system of Holling and Leslie type
- Chaos in three species food chains
- Bifurcation analysis in a limit cycle oscillator with delayed feedback
- Chaos in three species food chain system with impulsive perturbations
- Bifurcation structure of a three-species food chain model
- Positive periodic solutions in delayed Gause-type predator-prey systems
- Bifurcation analysis in van der Pol's oscillator with delayed feedback
- On the zeros of a fourth degree exponential polynomial with applications to a neural network model with delays
- ON THEORETICAL MODELS FOR COMPETITIVE AND PREDATORY BIOLOGICAL SYSTEMS
- Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays
- Global Stability for a Class of Predator-Prey Systems
- Global existence of periodic solutions in a class of delayed Gause-type predator-prey systems
- CHAOS IN A THREE-DIMENSIONAL VOLTERRA–GAUSE MODEL OF PREDATOR–PREY TYPE
- Persistence and global stability in a delayed Gause-type predator-prey system without dominating instantaneous negative feedbacks
