Periodic solution of neutral Lotka–Volterra system with periodic delays

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...

Existence of positive periodic solution of a periodic cooperative model with delays and impulses

where ai, bi, and ci (i= 1,2) are nonnegative ω-periodic continuous functions. It is well known that more realistic and interesting species models should take into account both the seasonality of the changing environment and time delays [4, 8, 9], and that the birth of many species is not continuous but occurs at fixed time intervals (some wild animals have seasonal births), in the long run; th...

Periodic solution for a delay nonlinear population equation with feedback control and periodic external source

In this paper, sufficient conditions are investigated for the existence of periodic (not necessarily positive) solutions for nonlinear several time delay population system with feedback control. Nonlinear system affected by an periodic external source is studied. Existence of a control variable provides  the extension of  some previous results obtained in other studies. We give a illustrative e...

Permanence and existence of periodic solution of a discrete periodic Lotka–Volterra competition system with feedback control and time delays∗

Existence of almost periodic solution for neutral Nicholson blowflies model

*Correspondence: [email protected] 1School of Mathematical Science, University of Science and Technology of China, Hefei, 230036, China 2School of Mathematics and Statistics, Hefei Normal University, Hefei, 230601, China Full list of author information is available at the end of the article Abstract This paper is concerned with a class of neutral Nicholson blowflies models with leakage delays...