Stability in a simple food chain system with Michaelis-Menten functional response and nonlocal delays

DOI10.1155/2013/936952zbMath1470.35181OpenAlexW2051867150WikidataQ58917763 ScholiaQ58917763MaRDI QIDQ2319283

Wenzhen Gan, Canrong Tian, Zhigui Lin, Qunying Zhang

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/936952

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Unnamed Item
• Unnamed Item
• Exponential stability of impulsive delayed reaction-diffusion cellular neural networks via Poincaré integral inequality
• Asymptotic behavior of the reaction-diffusion model of plankton allelopathy with nonlocal delays
• Traveling waves of a diffusive predator-prey model with nonlocal delay and stage structure
• Permanence for the Michaelis--Menten type discrete three-species ratio-dependent food chain model with delay
• Global stability of a reaction-diffusion predator-prey model with a nonlocal delay
• A semilinear parabolic system arising in the theory of superconductivity
• Geometric theory of semilinear parabolic equations
• Global stability in diffusive delay Lotka-Volterra systems
• Periodic solution of a delayed predator-prey system with Michaelis-Menten type functional response.
• Dynamics of a food-limited population model incorporating nonlocal delays on a finite domain
• Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect
• Persistence and global stability in a delayed predator-prey system with Michaelis-Menten type functional response
• Stability in a diffusive food-chain model with Michaelis-Menten functional response
• Strategy and stationary pattern in a three-species predator--prey model
• Dynamics of nonlinear parabolic systems with time delays
• Existence and stability of traveling wave fronts in reaction advection diffusion equations with nonlocal delay
• A reaction-diffusion predator-prey model with stage structure and nonlocal delay
• A predator-prey system with stage-structure for predator and nonlocal delay
• Instability of travelling wave solutions of a population model with nonlocal effects
• Convergence and Travelling Fronts in Functional Differential Equations with Nonlocal Terms: A Competition Model
• Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model

This page was built for publication: Stability in a simple food chain system with Michaelis-Menten functional response and nonlocal delays