Permanence, extinction and periodic solution of predator-prey system with Beddington-DeAngelis functional response
From MaRDI portal
Publication:820032
DOI10.1016/j.jmaa.2005.10.011zbMath1102.34033OpenAlexW2093796271WikidataQ115570458 ScholiaQ115570458MaRDI QIDQ820032
Yasuhiro Takeuchi, Jing-An Cui
Publication date: 6 April 2006
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.10.011
Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items
Interplay between reproduction and age selective harvesting delays of a single population non-autonomous system ⋮ Uniform ultimate boundedness of solutions of predator-prey system with Michaelis-Menten functional response on time scales ⋮ Permanence of a generalized predator-prey system with stage structure for prey ⋮ Positive periodic solutions for a class of neutral delay gause-type predator-prey system ⋮ Dynamics of a non-autonomous prey-predator model with age-structured growth in prey and predation of Beddington-DeAngelis type with reliance on alternative food ⋮ Stochastic predator-prey Lévy jump model with Crowley-Martin functional response and stage structure ⋮ Dynamical behaviors of a diffusive predator–prey system with Beddington–DeAngelis functional response ⋮ Global dynamics of autonomous and nonautonomous SI epidemic models with nonlinear incidence rate and feedback controls ⋮ Behavior of the solutions for predator-prey dynamic systems with Beddington-DeAngelis type functional response on periodic time scales in shifts ⋮ Almost periodic solution and global attractivity for a density dependent predator-prey system with mutual interference and Crowley-Martin response function ⋮ Herbivore harvesting and alternative steady states in coral reefs. ⋮ Dynamics of the density dependent predator-prey system with Beddington-DeAngelis functional response ⋮ The permanence and extinction of a discrete predator-prey system with time delay and feedback controls ⋮ Periodic solutions for a system of the first order nonautonomous differential equations ⋮ A predator-prey model with a Holling type I functional response including a predator mutual interference ⋮ Prey-predator dynamics with two predator types and Michaelis-Menten predator harvesting ⋮ A Delayed Non-autonomous Predator-Prey Model with Crowley-Martin Functional Response ⋮ Positive periodic solutions for neutral delay ratio-dependent predator-prey model with Holling type III functional response ⋮ An example of chaotic dynamics in 3D systems via stretching along paths ⋮ Coexistence in seasonally varying predator-prey systems with Allee effect ⋮ Permanence, extinction and periodic solution of the predator-prey system with Beddington-DeAngelis functional response and stage structure for prey ⋮ Uniqueness of periodic solutions of a nonautonomous density-dependent predator-prey system ⋮ Existence and uniqueness of globally attractive positive almost periodic solution in a predator-prey dynamic system with Beddington-DeAngelis functional response ⋮ Hopf bifurcation and Turing instability in spatial homogeneous and inhomogeneous predator-prey models ⋮ Sufficient and necessary conditions for the permanence of a discrete model with Beddington-DeAngelis functional response ⋮ Stability of the boundary solution of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response ⋮ Global stability of the boundary solution of a nonautonomous predator-prey system with Beddington-DeAngelis functional response ⋮ Stability analysis of the periodic solutions of some kinds of predator-prey dynamical systems ⋮ Dynamical analysis of a delayed predator-prey system with modified Leslie-Gower and Beddington-DeAngelis functional response ⋮ Dynamics of a stochastic predator-prey system with Beddington-DeAngelis functional response ⋮ Dynamics of the density dependent and nonautonomous predator-prey system with Beddington-DeAngelis functional response ⋮ Dynamics of species in a model with two predators and one prey ⋮ Dynamics of a stochastic cooperative predator-prey system with Beddington-DeAngelis functional response ⋮ Necessary and sufficient condition for existence of periodic solutions of predator-prey dynamic systems with Beddington-DeAngelis-type functional response ⋮ Modeling the Effect of Fear in a Prey–Predator System with Prey Refuge and Gestation Delay ⋮ Predator-prey interaction system with mutually interfering predator: role of feedback control ⋮ Dynamics of rodent population with two predators ⋮ QUALITATIVE ANALYSIS OF STOCHASTIC RATIO-DEPENDENT PREDATOR-PREY SYSTEMS ⋮ Persistence in seasonally varying predator-prey systems via the basic reproduction number
Cites Work
- Unnamed Item
- Unnamed Item
- Permanence for non-autonomous predator-prey systems
- Permanence of predator-prey system with periodic coefficients
- Periodic solutions of a predator-prey system with periodic coefficients
- The qualitative analysis of \(n\)-species Lotka-Volterra periodic competition systems
- Periodic solutions of two species interaction models with lags
- Stable limit cycles of time dependent multispecies interactions
- Effects of spatial grouping on the functional response of predators
- An iterative scheme for the \(N\)-competing species problem
- A priori bounds and periodic solutions for a class of planar systems with applications to Lotka-Volterra equations
- Global analysis of the predator--prey system with Beddington-DeAngelis functional response.
- Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system
- Uniform persistence and permanence for non-autonomous semiflows in population biology
- Dynamics of a nonautonomous predator--prey system with the Beddington-DeAngelis functional response
- The periodic predator-prey Lotka-Volterra model
- Permanence of a large class of periodic predator-prey systems
- Persistence Definitions and their Connections
- Periodic Time-Dependent Predator-Prey Systems
- Uniform persistence of the periodic predator-prey lotka-volterra systems
- Dynamical systems in population biology
- On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
- Permanence and extinction in logistic and Lotka-Volterra systems with diffusion
