Periodic solutions of a neutral impulsive predator–prey model with Beddington–DeAngelis functional response with delays

Positive Periodic Solutions for Nonautonomous Impulsive Neutral Functional Differential Systems with Time-varying Delays on Time Scales

Using a fixed point theorem of strict-set-contraction, we prove the existence of positive periodic solutions for a class of nonautonomous impulsive neutral functional differential system with time-varying delays on time scales.

Positive Periodic Solutions of Neutral Logistic Equations with Distributed Delays

Using a fixed point theorem of strict-set-contraction, we establish criteria for the existence of positive periodic solutions for the periodic neutral logistic equation, with distributed delays, x′(t) = x(t) h a(t)− n X i=1 ai(t) Z 0 −Ti x(t+θ) dμi(θ)− m X j=1 bj(t) Z 0 −T̂j x′(t+θ) dνj(θ) i , where the coefficients a, ai, bj are continuous and periodic functions, with the same period. The value...

Periodic solutions for a predator-prey model with Holling-type functional response and time delays

A delayed periodic Holling-type predator–prey model without instantaneous negative feedback is investigated. By using the continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functionals, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions to the model. Numerical simulat...

Periodic solutions for a neutral delay predator-prey model with nonmonotonic functional response

In a classic study of population dynamics, the predator-prey models have been studied extensively. We refer the reader to [1−5] and the references cited therein. Up to the present, most authors just studied systems with monotonic functional response, such as [6,7]. However, the actual living environments of species are not always like this due to the ecological effects of This work was supporte...

Positive periodic solutions of neutral predator-prey model with Beddington-DeAngelis functional response