The permanence and global attractivity in a nonautonomous Lotka--Volterra system
From MaRDI portal
Publication:1432874
DOI10.1016/S1468-1218(03)00038-5zbMath1085.34040OpenAlexW1994890694MaRDI QIDQ1432874
Jiandong Zhao, Alan C. Lazer, Ji-Fa Jiang
Publication date: 22 June 2004
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s1468-1218(03)00038-5
Population dynamics (general) (92D25) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items
Permanence in nonautonomous Lotka-Volterra system with predator-prey ⋮ Dynamic behaviors of a delay differential equation model of plankton allelopathy ⋮ Global asymptotic stability of stochastic competitive system with infinite delays ⋮ Global attractivity of an almost periodic \(N\)-species nonlinear ecological competitive model ⋮ Necessary and sufficient conditions for permanence and extinction in a three dimensional competitive Lotka-Volterra system ⋮ Permanence in nonautonomous competitive systems with nonlocal dispersal ⋮ Average conditions for permanence and extinction in nonautonomous Gilpin-Ayala competition model ⋮ Some new results on the permanence and extinction of nonautonomous Gilpin-Ayala type competition model with delays ⋮ Permanence for a discrete time Lotka-Volterra type food-chain model with delays ⋮ Extinction in a nonautonomous Lotka-Volterra competitive system with infinite delay and feedback controls ⋮ On the asymptotic stability of an Hassell predator-prey model with mutual interference ⋮ Evolutionary analysis of adaptive dynamics model under variation of noise environment ⋮ Analysis of the dynamical behavior of solutions for a class of hybrid generalized Lotka-Volterra models ⋮ Average conditions for permanence and extinction in nonautonomous single-species Kolmogorov systems ⋮ Global asymptotic stability of an almost periodic nonlinear ecological model ⋮ Almost periodic solution for \(n\)-species Lotka-Volterra competitive system with delay and feedback controls ⋮ Stability of the boundary solution of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response ⋮ On the long-time dynamics of nonautonomous predator-prey models with mutual interference ⋮ On a non-autonomous stochastic Lotka-Volterra competitive system ⋮ Extinction in two species nonautonomous nonlinear competitive system ⋮ Fractal analysis and control in the predator–prey model ⋮ Permanence and extinction in competitive Lotka-Volterra systems with delays ⋮ Permanence in nonautonomous multi-species predator--prey system with feedback controls ⋮ Permanence and global stability of nonautonomous Lotka-Volterra system with predator-prey and deviating arguments ⋮ Average conditions for permanence and extinction in nonautonomous Lotka-Volterra system ⋮ The permanence and global attractivity of Lotka--Volterra competition system with feedback controls ⋮ On permanence of all subsystems of competitive Lotka-Volterra systems with delays ⋮ Permanence and extinction in nonlinear single and multiple species system with diffusion ⋮ The persistence in a Lotka--Volterra competition systems with impulses ⋮ Existence and attractivity of a periodic solution for an \(N\)-species Gilpin-Ayala impulsive competition system ⋮ Permanence of a delayed non-autonomous Gilpin-Ayala competition model ⋮ Adaptive dynamics for a non-autonomous Lotka-Volterra model with size-selective disturbance ⋮ Sustainable global economic growth ⋮ Average conditions for Kolmogorov systems ⋮ The permanence and global attractivity of a Kolmogorov system with feedback controls ⋮ On the global asymptotic stability and ultimate boundedness for a class of nonlinear switched systems ⋮ Dynamics of an N-species Gilpin-Ayala impulsive competition system ⋮ Long time behavior of stochastic Lotka-Volterra competitive system with general Lévy jumps ⋮ Dynamic behaviors of the impulsive periodic multi-species predator-prey system ⋮ Partial permanence and extinction in an N-species nonautonomous Lotka-Volterra competitive system ⋮ Global attractive periodic models of predator-prey type
Cites Work
- A different consideration about the globally asymptotically stable solution of the periodic n-competing species problem
- On the asymptotic behavior of some population models
- The qualitative analysis of \(n\)-species Lotka-Volterra periodic competition systems
- Stable positive periodic solutions of the time-dependent logistic equation under possible hereditary influences
- Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system
- The almost periodic Kolmogorov competitive systems
- Nonautonomous Lotka-Volterra systems. I
- Global asymptotic stability in a periodic Lotka-Volterra system
- Global asymptotic stability in an almost-periodic Lotka-Volterra system
- On the Nonautonomous Volterra-Lotka Competition Equations
- Necessary and sufficient average growth in a Lotka–Volterra system
