Permanence of a Gilpin-Ayala predator-prey system with time-dependent delay
From MaRDI portal
Publication:1794973
DOI10.1186/s13662-014-0354-xzbMath1422.92123OpenAlexW2120542100WikidataQ59435608 ScholiaQ59435608MaRDI QIDQ1794973
Publication date: 16 October 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-014-0354-x
Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Ecology (92D40) Periodic solutions to functional-differential equations (34K13)
Related Items (10)
Periodicity and stability of an impulsive nonlinear competition model with infinitely distributed delays and feedback controls ⋮ Uniform ultimate boundedness of solutions of predator-prey system with Michaelis-Menten functional response on time scales ⋮ Local exponential stability of four almost-periodic positive solutions for a classic Ayala-Gilpin competitive ecosystem provided with varying-lags and control terms ⋮ Existence of positive periodic solutions for a class of Gilpin-Ayala ecological models with discrete and distributed time delays ⋮ Global exponential stability of positive almost periodic solutions for a class of two-layer Gilpin-Ayala predator-prey model with time delays ⋮ Dynamic behaviors of a nonlinear amensalism model ⋮ Global exponential stability of positive periodic solution of the n-species impulsive Gilpin–Ayala competition model with discrete and distributed time delays ⋮ Dynamics of an N-species Gilpin-Ayala impulsive competition system ⋮ Global exponential stability of positive periodic solutions for a class of multiple species Gilpin-Ayala system with infinite distributed time delays ⋮ Local exponential stability of several almost periodic positive solutions for a classical controlled GA-predation ecosystem possessed distributed delays
Cites Work
- Dynamics of a nonautonomous Leslie-Gower type food chain model with delays
- Permanence and almost periodic solutions of a discrete ratio-dependent Leslie system with time delays and feedback controls
- Permanence of a nonlinear integro-differential prey-competition model with infinite delays
- A different consideration about the globally asymptotically stable solution of the periodic n-competing species problem
- Periodicity and stability of a nonlinear periodic integro-differential prey-competition model with infinite delays
- Periodic solutions for a semi-ratio-dependent predator-prey system with nonmonotonic functional response and time delay
- Existence of positive periodic solution for ratio-dependent N-species difference system
- Global attractivity of the periodic Lotka-Volterra system
- The qualitative analysis of \(N\)-species nonlinear prey-competition systems.
- Persistence and global stability in Lotka-Volterra delay differential systems.
- Persistence and global stability in a delayed predator-prey system with Michaelis-Menten type functional response
- Dynamics of a delayed discrete semi-ratio-dependent predator-prey system with Holling type IV functional response
- Almost periodic solution of non-autonomous Lotka-Volterra predator-prey dispersal system with delays
- Dynamics in a Lotka-Volterra predator-prey model with time-varying delays
- Periodic solution and almost periodic solution for a nonautonomous Lotka-Volterra dispersal system with infinite delay
- Permanence of a nonlinear prey-competition model with delays
- Existence, uniqueness and stability of positive periodic solution for a nonlinear prey-competition model with delays
- Stability of impulsive time-varying systems and compactness of the operators mapping the input space into the state and output spaces
- Global stability of discrete models of Lotka–Volterra type
- Global Models of Growth and Competition
- Unnamed Item
- Unnamed Item
This page was built for publication: Permanence of a Gilpin-Ayala predator-prey system with time-dependent delay
