Global asymptotic stability in Volterra's population systems
From MaRDI portal
Publication:791473
DOI10.1007/BF00277744zbMath0535.92020WikidataQ113908997 ScholiaQ113908997MaRDI QIDQ791473
Publication date: 1984
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
global asymptotic stabilitydiagonal dominancepositive limit sethereditary effectspersistence of positive solutionspopulation system
Population dynamics (general) (92D25) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10) Volterra integral equations (45D05)
Related Items (54)
Positive solutions of a class of linear systems ⋮ Dynamics of a general stochastic nonautonomous Lotka-Volterra model with delays and impulsive perturbations ⋮ Discrete-time analogues of predator-prey models with monotonic or nonmonotonic functional responses ⋮ Global asymptotic stability in a generalized Lotka-Volterra system ⋮ Global asymptotic stability of stochastic competitive system with infinite delays ⋮ Global asymptotic stability in a nonautonomous Lotka-Volterra type system with infinite delay ⋮ On uniform asymptotic stability of nonlinear Volterra integro-differential equations ⋮ Asymptotically periodic solution of \(N\)-species cooperation system with time delay ⋮ Survival analysis of an impulsive stochastic delay logistic model with Lévy jumps ⋮ Dynamical behavior of stochastic delay Lotka-Volterra competitive model with general Lévy jumps ⋮ Ultimate boundedness for nonautonomous diffusive Lotka-Volterra patches ⋮ Extinction in a two dimensional Lotka-Volterra system with infinite delay ⋮ Persistence and global stability in discrete models of Lotka--Volterra type ⋮ Convergence to equilibrium in competitive Lotka-Volterra and chemostat systems ⋮ Stochastic competitive Lotka-Volterra ecosystems under partial observation: feedback controls for permanence and extinction ⋮ Analysis of autonomous Lotka-Volterra competition systems with random perturbation ⋮ Global asymptotic stability in a class of Volterra-Stieltjes integrodifferential systems ⋮ Uniform persistence for Lotka--Volterra-type delay differential systems. ⋮ DYNAMICS OF A GENERAL NON-AUTONOMOUS STOCHASTIC LOTKA-VOLTERRA MODEL WITH DELAYS ⋮ Global asymptotic stability of a stochastic Lotka-Volterra model with infinite delays ⋮ Asymptotic properties of a stochastic Lotka-Volterra model with infinite delay and regime switching ⋮ Global asymptotic stability of a periodic system of delay logistic equations ⋮ Permanence and global stability in a Lotka-Volterra predator-prey system with delays ⋮ Effect of parity on productivity and sustainability of Lotka-Volterra food chains ⋮ A model for the problem of the cooperation/competition between infinite continuous species ⋮ Global stability of Volterra models with time delay ⋮ Analysis of a general stochastic non-autonomous logistic model with delays and Lévy jumps ⋮ Stability in distribution of a stochastic hybrid competitive Lotka-Volterra model with Lévy jumps ⋮ Analysis of a stochastic Lotka-Volterra competitive model with infinite delay and impulsive perturbations ⋮ On slow-fast dynamics in a classical predator-prey system ⋮ Permanence and stability of an age-structured prey-predator system with delays ⋮ On a stochastic delayed predator-prey model with Lévy jumps ⋮ Persistence and extinction in general non-autonomous logistic model with delays and stochastic perturbation ⋮ Stability of nonlinear Volterra equations and applications ⋮ Periodicity in a generalized ecological competition system governed by impulsive differential equations with delays ⋮ New results on the global asymptotic stability of a Lotka-Volterra system ⋮ Persistence and global stability in Lotka-Volterra delay differential systems. ⋮ Exponential stability of integro-differential equations and applications ⋮ Global analysis of an impulsive delayed Lotka-Volterra competition system ⋮ Dynamics and simulations of a stochastic predator-prey model with infinite delay and impulsive perturbations ⋮ A novel method to determine the local stability of the \(n\)-species Lotka-Volterra system with multiple delays ⋮ Persistence and extinction of an impulsive stochastic logistic model with infinite delay ⋮ Stochastic Lotka-Volterra model with infinite delay ⋮ The probability of permanence ⋮ On competitive Lotka-Volterra model in random environments ⋮ Persistence and global stability in discrete models of pure-delay nonautonomous Lotka-Volterra type ⋮ Equilibrium in a large Lotka-Volterra system with pairwise correlated interactions ⋮ Necessary and sufficient conditions for permanence and global stability of a Lotka-Volterra system with two delays ⋮ Persistence in periodic and almost periodic Lotka-Volterra systems ⋮ Persistence and global stability for discrete models of nonautonomous Lotka-Volterra type. ⋮ Feasibility of sparse large Lotka-Volterra ecosystems ⋮ The necessary and sufficient condition for global stability of a Lotka-Volterra cooperative or competition system with delays ⋮ Global asymptotic stability in a periodic integrodifferential system ⋮ Permanence and extinction of non-autonomous Lotka-Volterra facultative systems with jump-diffusion
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Persistence and extinction in three species Lotka-Volterra competitive systems
- Persistence in food webs - I. Lotka-Volterra food chains
- Persistence in food webs: Holling-type food chains
- Time lags and global stability in two-species competition
- Persistence in food chains with general interactions
- On $\omega $-Limits for Competition Between Three Species
- Limit cycles in two spacies competition with time delays
- Nonlinear Aspects of Competition Between Three Species
- Global Stability in Ecological Systems with Continuous Time Delay
- Persistent sets via Lyapunov functions
This page was built for publication: Global asymptotic stability in Volterra's population systems
