Existence and uniqueness of globally attractive positive almost periodic solution in a predator-prey dynamic system with Beddington-DeAngelis functional response

DOI10.1155/2014/204564zbMath1472.34100OpenAlexW2145568813WikidataQ59036000 ScholiaQ59036000MaRDI QIDQ1722335

Wenquan Wu

Publication date: 14 February 2019

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

Full work available at URL: https://doi.org/10.1155/2014/204564

zbMATH Keywords

fixed point theoryglobal attractivityexponential dichotomypredator-prey systempositive (almost) periodic solution

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Applications of operator theory to differential and integral equations (47N20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Dynamic equations on time scales or measure chains (34N05)

Related Items (1)

Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An intermediate value theorem for monotone operators in ordered Banach spaces
• Uniformly almost periodic functions and almost periodic solutions to dynamic equations on time scales
• Almost periodic functions on time scales and applications
• Permanence, extinction and periodic solution of predator-prey system with Beddington-DeAngelis functional response
• Existence of periodic solutions in predator-prey and competition dynamic systems
• Periodic solutions for predator-prey systems with Beddington-DeAngelis functional response on time scales
• Existence and roughness of exponential dichotomies of linear dynamic equations on time scales
• Global analysis of the predator--prey system with Beddington-DeAngelis functional response.
• Dynamics of a nonautonomous predator--prey system with the Beddington-DeAngelis functional response
• Periodic solutions for discrete predator-prey systems with the Beddington-DeAngelis functional response
• Periodic solutions for a neutral nonlinear dynamical equation on a time scale
• Inequalities on Time Scales: A Survey
• EFFECTS OF DOMAIN SIZE ON THE PERSISTENCE OF POPULATIONS IN A DIFFUSIVE FOOD-CHAIN MODEL WITH BEDDINGTON-DeANGELIS FUNCTIONAL RESPONSE
• On the dynamics of predator-prey models with the Beddington-DeAngelis functional response

This page was built for publication: Existence and uniqueness of globally attractive positive almost periodic solution in a predator-prey dynamic system with Beddington-DeAngelis functional response