Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays

No abstract is available for this paper.

• Publication year

  2004

• Venue

  Applied Mathematics and Computation

• Publication date

  Unknown publication date

• Fields of study

  Mathematics, Computer Science

• Identifiers
  DOI 10.1016/S0096-3003(02)00918-9
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Solving DDEs in MATLAB

  2001cited by this paper
• Absolute stability, conditional stability and bifurcation in Kolmogrov-type predator-prey systems with discrete delays

  2001cited by this paper
• Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment

  2000cited by this paper
• Persistence and global stability for two-species nonautonomous competition Lotka-Volterra patch-system with time delay

  1999cited by this paper
• Asymptotic Behavior of a Predator–Prey System with Diffusion and Delays

  1997cited by this paper
• Convergence Results in a Well-Known Delayed Predator-Prey System

  1996influential reference
• Predator-prey dynamics in models of prey dispersal in two-patch environments.

  1994cited by this paper
• Global asymptotic behavior in single-species discrete diffusion systems

  1993cited by this paper
• Stability and Oscillations in Delay Differential Equations of Population Dynamics

  1992influential reference
• Harmless delays for uniform persistence

  1991cited by this paper
• Conflict between the need to forage and the need to avoid competition: persistence of two-species model.

  1990cited by this paper
• Global stability and predator dynamics in a model of prey dispersal in a patchy environment

  1989cited by this paper
• Diffusion-mediated persistence in two-species competition Lotka-Volterra model.

  1989cited by this paper
• Predator survival versus extinction as a function of dispersal in a predator–prey model with patchy environment

  1989cited by this paper
• Cooperative systems theory and global stability of diffusion models

  1989cited by this paper
• Global Asymptotic Stability of Lotka–Volterra Diffusion Models with Continuous Time Delay

  1988cited by this paper
• Global stability of single-species diffusion Volterra models with continuous time delays.

  1987cited by this paper
• Persistence, extinction, and critical patch number for island populations

  1987cited by this paper
• Global stability and periodic orbits for two-patch predator-prey diffusion-delay models

  1987cited by this paper
• Single species migration in two habitats: Persistence and extinction

  1987cited by this paper
• Global stability in generalized Lotka-Volterra diffusion systems

  1986cited by this paper
• Mathematical models of population interactions with dispersal II: Differential survival in a change of habitat

  1986cited by this paper
• Diffusion effect on stability of Lotka-Volterra models.

  1986cited by this paper
• Delays in recruitment at different trophic levels: Effects on stability

  1984cited by this paper
• The Effect of Dispersal on Population Stability in One-Species, Discrete-Space Population Growth Models

  1984cited by this paper
• Delayed responses and stability in two-species systems

  1984influential reference
• Harmless delays in model systems

  1983cited by this paper
• Persistence and extinction in Lotka-Volterra reaction-diffusion equations

  1983cited by this paper
• Dynamics of a single species in a spatially varying environment: The stabilizing role of high dispersal rates

  1982cited by this paper
• Integrodifferential Equations and Delay Models in Population Dynamics.

  1978cited by this paper
• Time lags in biological models

  1978cited by this paper
• Theory of Functional Differential Equations

  1977cited by this paper
• Mathematical Models of Population Interactions with Dispersal. I: Stability of Two Habitats with and without a Predator

  1977cited by this paper
• Coincidence Degree and Nonlinear Differential Equations

  1977cited by this paper
• Hypothesis for origin of planktonic patchiness

  1976cited by this paper
• Dispersion and Population Interactions

  1974cited by this paper
• Time‐Delay Versus Stability in Population Models with Two and Three Trophic Levels

  1973cited by this paper
• On absolute stability

  1972cited by this paper

• Analysis of a stochastic two-species predator-prey system in two-patch environments with Ornstein-Uhlenbeck process

  2024cites this paper
• Formulation of Impulsive Ecological Systems Using the Conformable Calculus Approach: Qualitative Analysis

  2023cites this paper
• Stability Analysis of Delayed Age-structured Resource-Consumer Model of Population Dynamics with Saturated Intake Rate

  2020cites this paper
• Analysis for a Delayed Three-Species Predator-Prey Model with Feedback Controls and Prey Diffusion

  2020cites this paper
• On a Multi-Delay Lotka-Volterra Predator-Prey Model with Feedback Controls and Prey Diffusion

  2019cites this paper
• On a Multi-Delay Lotka-Volterra Predator-Prey Model with Feedback Controls and Prey Diffusion

  2019cites this paper
• Dynamical behaviors of a predator-prey system with prey impulsive diffusion and dispersal delay between two patches

  2019cites this paper
• On a delay ratio-dependent predator–prey system with feedback controls and shelter for the prey

  2018cites this paper
• Permanence of a Lotka-Volterra Predator-Prey Model with Feedback Controls and Prey Diffusion

  2018cites this paper
• Coexistence for an Almost Periodic Predator-Prey Model with Intermittent Predation Driven by Discontinuous Prey Dispersal

  2017cites this paper
• Existence of Positive Periodic Solutions for a Predator-Prey System of Holling Type IV Function Response with Mutual Interference and Impulsive Effects

  2015cites this paper
• Dynamics of an impulsive diffusive ecological model with distributed delay and additive Allee effect

  2015cites this paper
• Applications of Mathematics

  2015cites this paper
• Dynamics of a delayed stage-structured model with impulsive harvesting and diffusion

  2014cites this paper
• Dynamics of an impulsive diffusive ecological model with distributed delay and additive Allee effect

  2014cites this paper
• Existence and Uniqueness of Positive Periodic Solutions for a Delayed Predator-Prey Model with Dispersion and Impulses

  2014cites this paper
• Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses

  2013cites this paper
• Existence and global attractivity of periodic solution for enterprise clusters based on ecology theory with impulse

  2012cites this paper
• Globally asymptotical stability and periodicity for a nonautonomous two-species system with diffusion and impulses

  2012cites this paper
• Existence and globally asymptotical stability of periodic solutions for two-species non-autonomous diffusion competition n-patch system with time delay and impulses

  2011influential citation
• Positive periodic solution for a delay diffusive predator-prey system with Holling type III functional response and harvest impulse

  2011cites this paper
• The almost periodic solution of Lotka-Volterra recurrent neural networks with delays

  2011cites this paper
• Existence and Global Attractivity of Positive Periodic Solutions for a Two-Species Competitive System with Stage Structure and Impulse

  2011cites this paper
• Existence and global attractivity of periodic solution for enterprise clusters based on ecology theory with impulse

  2011cites this paper
• Existence of positive periodic solutions for an impulsive semi-ratio-dependent predator-prey model with dispersion and time delays

  2010cites this paper
• Dispersal permanence of periodic predator–prey model with Ivlev-type functional response and impulsive effects

  2010cites this paper
• Permanence for a delayed predator-prey model of prey dispersal in two-patch environments

  2010cites this paper
• Analysis of a delayed predator-prey system with impulsive diffusion between two patches

  2010cites this paper
• Stability of a Nonautonomous Two-Species Diffusive Model with Discrete Delays

  2010cites this paper
• Existence and global attractivity of positive periodic solutions for impulsive predator–prey model with dispersion and time delays

  2009influential citation
• POSITIVE PERIODIC SOLUTION FOR A GAUSE-TYPE RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH DIFFUSION AND TIME DELAY

  2008cites this paper
• Delay induced oscillation in predator-prey system with Beddington-DeAngelis functional response

  2007cites this paper
• Profitless delays for a nonautonomous Lotka-Volterra predator-prey almost periodic system with dispersion

  2007influential citation
• Asymptotic behavior of solutions in nonautonomous predator-prey patchy system with beddington-type functional response

  2006cites this paper
• Persistence and Global Stability in a predator-prey System with Delay

  2006cites this paper
• Persistence in nonautonomous predator-prey systems with infinite delays

  2006cites this paper
• Applications of delay differential equations in physiology and epidemiology

  2005cites this paper
• On a nonlinear nonautonomous predator-prey model with diffusion and distributed delay

  2005cites this paper
• Periodic oscillations in a model of the glucose–insulin interaction with delay and periodic forcing

  2004cites this paper
• ON PERIODIC ORBITS OF RELAXATION OSCILLATIONS

  2002influential citation