Positive periodic solutions for a nonautonomous neutral delay prey-predator model with impulse and Hassell-Varley type functional response

DOI10.1090/S0002-9939-2013-11793-4zbMath1292.34078WikidataQ115545912 ScholiaQ115545912MaRDI QIDQ5398137

Dongshu Wang

Publication date: 26 February 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsprey-predator modelneutral delay equations

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Population dynamics (general) (92D25) Neutral functional-differential equations (34K40) Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (4)

Existence and \(n\)-multiplicity of positive periodic solutions for impulsive functional differential equations with two parameters ⋮ Positive periodic solution for third-order singular neutral differential equation with time-dependent delay ⋮ Existence of positive periodic solutions for a neutral impulsive predator-prey model with Crowley-Martin functional response ⋮ Existence and uniqueness of periodic solution for prescribed mean curvature Rayleigh type \(p\)-Laplacian equation

Cites Work

• Unnamed Item
• Dynamics of the density dependent predator-prey system with Beddington-DeAngelis functional response
• Periodic solutions to a delayed predator-prey model with Hassell-Varley type functional response
• Existence and global attractivity of positive periodic solution for a Volterra model with mutual interference and Beddington-DeAngelis functional response
• Positive periodic solutions for a neutral delay ratio-dependent predator-prey model with a Holling type II functional response
• Delay differential equations: with applications in population dynamics
• Existence of positive periodic solutions for a nonautonomous neutral delay n-species competitive model with impulses
• Multiple periodic solutions of an impulsive predator-prey model with Holling-type IV functional response
• Almost periodic solution for a Volterra model with mutual interference and Beddington-DeAngelis functional response
• Global dynamics of a predator-prey model with Hassell-Varley type functional response
• Rich dynamics of a food chain model with Hassell-Varley type functional responses
• Impulsive perturbations in a periodic delay differential equation model of plankton allelopathy
• Coincidence degree, and nonlinear differential equations
• Persistence and global stability for \(n\)-species ratio-dependent predator-prey system with time delays.
• On positive periodic solutions of a nonautonomous neutral delay \(n\)-species competitive system
• Periodicity in a nonlinear predator-prey system on time scales with state-dependent delays
• On neutral delay logistic gause-type predator-prey systems

This page was built for publication: Positive periodic solutions for a nonautonomous neutral delay prey-predator model with impulse and Hassell-Varley type functional response