Global asymptotic stability of positive equilibrium of three-species Lotka-Volterra mutualism models with diffusion and delay effects
From MaRDI portal
Publication:611723
DOI10.1016/j.apm.2010.05.003zbMath1201.35030OpenAlexW2159210474WikidataQ111265856 ScholiaQ111265856MaRDI QIDQ611723
Shu Wang, Fu-Ping Yang, Linrui Li, Chang You Wang
Publication date: 14 December 2010
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2010.05.003
reaction-diffusionglobal asymptotic stabilitynumerical simulationpositive equilibriumtime-delaysthree-species mutualism model
Related Items
Permanence and almost periodic solution of a multispecies Lotka-Volterra mutualism system with time varying delays on time scales ⋮ Global stability of almost periodic solution of multispecies mutualism system with time delays and impulsive effects ⋮ Stability analysis of impulsive parabolic complex networks ⋮ Dynamics of almost periodic solution for a delayed facultative mutualism model involving negative feedback terms ⋮ Analysis for a delayed three-species predator-prey model with feedback controls and prey diffusion ⋮ Global stability of nonhomogeneous coexisting equilibrium state for the multispecies Lotka–Volterra mutualism models with diffusion ⋮ Stability and passivity of spatially and temporally complex dynamical networks with time-varying delays ⋮ Almost periodic solution of a multispecies discrete mutualism system with feedback controls ⋮ Almost periodic dynamics in a nonautonomous bi-directional consumer-resource system with time delays ⋮ Hopf bifurcation analysis for a semiratio-dependent predator-prey system with two delays ⋮ Convergence to steady state for a degenerate parabolic system of relevance to marine ecology ⋮ Passivity of delayed reaction-diffusion networks with application to a food web model ⋮ Periodic solutions in a herbivore-plant system with time delay and spatial diffusion
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Delay differential equations: with applications in population dynamics
- Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
- Oscillation of partial population model with diffusion and delay
- Oscillation of a class of partial functional population model
- A study of three species prey-predator reaction-diffusions by monotone schemes
- Simple mathematical models for cannibalism: A critique and a new approach
- A reaction-diffusion system of a competitor-competitor-mutualist model
- Some coexistence and extinction results for a 3-species ecological system
- Systems of parabolic equations with continuous and discrete delays
- Persistence, attractivity, and delay in facultative mutualism
- Global asymptotic stability of Lotka--Volterra 3-species reaction--diffusion systems with time delays
- Blow-up in a three-species cooperating model
- Theory and applications of partial functional differential equations
- Blowup estimates for a parabolic system in a three-species cooperating model
- A stage structured predator-prey model and its dependence on maturation delay and death rate
- Dynamics of nonlinear parabolic systems with time delays
- Existence and stability of periodic solutions for parabolic systems with time delays
- A time-delay model of single-species growth with stage structure
- Persistence and global asymptotic stability of single species dispersal models with stage structure
- Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
- Nonlinear elliptic boundary-value problems in unbounded domains
- Stability and Traveling Fronts in Lotka-Volterra Competition Models with Stage Structure
- Stability and bifurcation for a delayed predator-prey model and the effect of diffusion
- Traveling wave fronts of reaction-diffusion systems with delay
- Persistence in a periodic competitor-competitor-mutualist diffusion system
- Convergence of solutions of reaction-diffusion systems with time delays
This page was built for publication: Global asymptotic stability of positive equilibrium of three-species Lotka-Volterra mutualism models with diffusion and delay effects
