Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays.
From MaRDI portal
Publication:1417023
DOI10.1016/S0096-3003(02)00918-9zbMath1048.34119OpenAlexW1988679960WikidataQ115564594 ScholiaQ115564594MaRDI QIDQ1417023
Rui Xu, Fordyce A. Davidson, Mark A. J. Chaplain
Publication date: 18 December 2003
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00918-9
Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13)
Related Items
Periodic oscillations in a model of the glucose–insulin interaction with delay and periodic forcing, Asymptotic behavior of solutions in nonautonomous predator-prey patchy system with Bed\-ding\-ton-type functional response, Profitless delays for a nonautonomous Lotka-Volterra predator-prey almost periodic system with dispersion, Existence of positive periodic solutions for an impulsive semi-ratio-dependent predator-prey model with dispersion and time delays, Delay induced oscillation in predator-prey system with Beddington-DeAngelis functional re\-sponse, On a multi-delay Lotka-Volterra predator-prey model with feedback controls and prey diffusion, Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses., Analysis for a delayed three-species predator-prey model with feedback controls and prey diffusion, Dispersal permanence of periodic predator-prey model with Ivlev-type functional response and impulsive effects, Analysis of a delayed predator-prey system with impulsive diffusion between two patches, Dynamical behaviors of a predator-prey system with prey impulsive diffusion and dispersal delay between two patches, PERSISTENCE AND GLOBAL STABILITY IN A PREDATOR-PREY SYSTEM WITH DELAY, Globally asymptotical stability and periodicity for a nonautonomous two-species system with diffusion and impulses, Persistence in nonautonomous predator--prey systems with infinite delays, Existence of positive periodic solutions for a predator-prey system of Holling type IV function response with mutual interference and impulsive effects, Existence and globally asymptotical stability of periodic solutions for two-species non-autonomous diffusion competition \(n\)-patch system with time delay and impulses, Permanence for a delayed predator-prey model of prey dispersal in two-patch environments, On a nonlinear nonautonomous predator--prey model with diffusion and distributed delay, Coexistence for an almost periodic predator-prey model with intermittent predation driven by discontinuous prey dispersal, POSITIVE PERIODIC SOLUTION FOR A GAUSE-TYPE RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH DIFFUSION AND TIME DELAY, Existence and global attractivity of periodic solution for enterprise clusters based on ecology theory with impulse, Existence and global attractivity of positive periodic solutions for impulsive predator-prey model with dispersion and time delays, On a delay ratio-dependent predator–prey system with feedback controls and shelter for the prey, Existence and global attractivity of positive periodic solutions for a two-species competitive system with stage structure and impulse, Dynamics of an impulsive diffusive ecological model with distributed delay and additive Allee effect
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Delay differential equations: with applications in population dynamics
- Delays in recruitment at different trophic levels: Effects on stability
- Harmless delays for uniform persistence
- Conflict between the need to forage and the need to avoid competition: Persistence of two-species model
- Harmless delays in model systems
- Persistence and extinction in Lotka-Volterra reaction-diffusion equations
- Mathematical models of population interactions with dispersal. II: Differential survival in a change of habitat
- Global stability in generalized Lotka-Volterra diffusion systems
- Persistence, extinction, and critical patch number for island populations
- Global stability of single-species diffusion Volterra models with continuous time delays
- Global stability and periodic orbits for two-patch predator-prey diffusion-delay models
- Cooperative systems theory and global stability of diffusion models
- Diffusion-mediated persistence in two-species competition Lotka-Volterra model
- Ordinary differential equations with nonlinear boundary conditions
- Theory of functional differential equations. 2nd ed
- Global asymptotic behavior in single-species discrete diffusion systems
- Predator-prey dynamics in models of prey dispersal in two-patch environments
- Asymptotic behavior of a predator-prey system with diffusion and delays
- Convergence results in a well-known delayed predator-prey system
- Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment
- Diffusion effect on stability of Lotka-Volterra models
- Delayed responses and stability in two-species systems
- Predator survival versus extinction as a function of dispersal in a predator–prey model with patchy environment
- Global Asymptotic Stability of Lotka–Volterra Diffusion Models with Continuous Time Delay
- Mathematical Models of Population Interactions with Dispersal. I: Stability of Two Habitats with and without a Predator
- Global stability and predator dynamics in a model of prey dispersal in a patchy environment
- Persistence and global stability for two-species nonautonomous competition Lotka–Volterra patch-system with time delay
- Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays
- Solving DDEs in Matlab