Permanence and periodic solutions for an impulsive reaction-diffusion food-chain system with Holling type III functional response
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Publication:630916
DOI10.1016/j.jfranklin.2010.11.007zbMath1210.35278OpenAlexW2003102435MaRDI QIDQ630916
Xiaoyun Liu, Zijian Liu, Shou-ming Zhong
Publication date: 22 March 2011
Published in: Journal of the Franklin Institute (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfranklin.2010.11.007
Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Variational methods applied to PDEs (35A15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Positive solutions to PDEs (35B09) Impulsive partial differential equations (35R12)
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An impulsive periodic predator-prey system with Holling type III functional response and diffusion ⋮ An application of variational method to a class of Dirichlet boundary value problems with impulsive effects ⋮ Uniformly strong persistence for a delayed predator-prey model ⋮ Existence and global attractivity of positive periodic solutions for a Holling II two-prey one-predator system ⋮ Modeling and analysis of a modified Leslie-gower type three species food chain model with an impulsive control strategy ⋮ Pattern formation for a model of plankton allelopathy with cross-diffusion ⋮ An impulsive predator-prey system with modified Leslie-Gower functional response and diffusion ⋮ Spatiotemporal dynamics for an impulsive eco-epidemiological system driven by canine distemper virus ⋮ Dynamic analysis of a reaction-diffusion impulsive hybrid system ⋮ An impulsive periodic predator-prey Lotka-Volterra type dispersal system with mixed functional responses ⋮ Effect of prey refuge on the spatiotemporal dynamics of a modified Leslie-Gower predator-prey system with Holling type III schemes
Cites Work
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- Bifurcation analysis and control of a discrete harvested prey-predator system with Beddington-DeAngelis functional response
- Permanence and periodic solutions for a diffusive ratio-dependent predator-prey system
- Stability analysis of a prey--predator model with Holling type III response function incorporating a prey refuge
- An impulsive ratio-dependent predator-prey system with diffusion
- Global exponential robust stability of Cohen-Grossberg neural network with time-varying delays and reaction-diffusion terms
- Delay-dependent exponential stability for a class of neural networks with time delays and reaction-diffusion terms
- Existence of periodic solution for discrete-time cellular neural networks with complex deviating arguments and impulses
- Global stability of a reaction-diffusion predator-prey model with a nonlocal delay
- An impulsive ratio-dependent \(n+1\)-species predator-prey model with diffusion
- Uniform attractors for impulsive reaction-diffusion equations
- A delayed epidemic model with stage-structure and pulses for pest management strategy
- On the dynamics of an \(n\)-dimensional ratio-dependent predator-prey system with diffusion
- Solutions to certain classes of linearized reaction-diffusion equations
- Global dynamics of the periodic logistic system with periodic impulsive perturbations.
- Periodic solutions and permanence for a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response.
- Internal stabilizability for a reaction-diffusion problem modeling a predator--prey system
- Dynamical behaviors of discrete-time fuzzy cellular neural networks with variable delays and impulses
- Asymptotic stability of competitive systems with delays and impulsive perturbations
- Global dynamics and controllability of a harvested prey-predator system with Holling type III functional response
- Diffusion effect and stability analysis of a predator-prey system described by a delayed reaction-diffusion equations
- Permanence and periodic solution of predator-prey system with holling type functional response and impulses
- Asymptotic behaviour of reaction-diffusion equations with non-damped impulsive effects
- Dynamic behaviors of the periodic Lotka-Volterra competing system with impulsive perturbations
- A reaction-diffusion predator-prey model with stage structure and nonlocal delay
- Persistence in reaction diffusion models with weak Allee effect
- COMPLEXITY OF A DELAYED PREDATOR–PREY MODEL WITH IMPULSIVE HARVEST AND HOLLING TYPE II FUNCTIONAL RESPONSE
- Nonlinear elliptic boundary-value problems in unbounded domains
- Differential inequalities and maximum principles: theory, new methods and applications
- RANDOM DISPERSAL IN THEORETICAL POPULATIONS
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