Nicholson's blowflies泛函微分方程两个正周期解的存在性(英文)

利用锥不动点理论,得到了Nicholson’s blowflies泛函微分方程存在两个正周期解的充分条件.

时标上的具有线性收获项的Nicholson's Blowflies模型概周期正解的存在性及全局渐近稳定性(英文)

本文研究时标上的具有线性收获项的Nicholson's blowflies模型,运用压缩映射不动点定理获得存在唯一概周期正解的充分条件.此外,通过利用Liapunov函数研究概周期正解的全局渐近稳定性.

关于Nicholson’s Blowflies模型周期正解的存在性

利用非线性分析方法,以锥映射的拓扑度为工具,研究了N icholson’s B lowflies模型周期正解的存在性问题;证明了在周期环境下,N icholson’s B lowflies模型方程存在周期正解。

一类具无穷时滞 Nicholson's blowflies模型的正概周期解(英文)

通过利用锥上的不动点定理,本文主要研究具无穷时滞Nicholson's blowflies模型的正概周期解的存在唯一性.从而得到此正概周期解存在唯一性和指数收敛的充分条件.最后给出一个例子说明本文结果的可行性.

具有收获率和非线性死亡率的脉冲Nicholoson's blowflies模型正周期解

研究了一类具有非线性收获率和非线性依赖死亡率的脉冲Nicholoson's blowflies模型.利用重合度理论和不等式分析技巧,获得了该模型至少存在一个正周期解的一些充分条件,对该模型无脉冲情形的相关研究结果进行了推广和研究.此外,给出一个合适的例子来说明所得结果的可行性.

具有线性收获项的Nicholson's Blowflies差分模型正概周期解的存在唯一性与指数收敛性(英文)

本文研究具有线性收获项的Nicholson's Blowflies差分模型,运用压缩映射不动点定理,获得存在唯一的正概周期解的充分条件.此外,通过利用Liapunov泛函研究正概周期解的指数收敛性,解决了L.Berezansky 2010年提出的一个公开问题.

一类Nicholson's blowflies模型的全局吸引性

研究了nicholson's blowflies动态模型N(t)＝-δN(t)+∫.p(s)N(t-τ(s))e-N(t-τ(x))ds的全局吸引性,获得了该方程的正平衡解为全局稳定的充分条件.

具有多个时滞的Nicholson's Blowflies离散模型的全局吸引性

研究了具有多个时滞的Nichson'sBlowflies模型的全局吸引性,分别讨论了在其正平衡态存在和不存在的条件下,模型解的全局性态,利用微分不等式得到了其解全局吸引的充分条件。

REMARK ON CRITICAL SPEED OF TRAVELING WAVEFRONTS FOR NICHOLSON'S BLOWFLIES EQUATION WITH DIFFUSION

This note is devoted to the son＇s blowflies equation with diffusion, a critical speed of traveling waves, we give behavior with respect to the mature age study on the traveling wavefronts to the Nicholtime-delayed reaction-diffusion equation. For the a detailed analysis on its location and asymptotic

GLOBAL ATTRACTIVITY IN NICHOLSON＇S BLOWFLIES

In this paper we further study the delay differential equation N .(t)=-δN(t)+pN(t-τ)e -aN(t-τ) , t0(*) used in describing the dynamics of Nicholson’s blowflies. When p】δ ,we establish new sufficient conditions for the positive equilibrium N * of (*) which is a global attractor.

Wavefront solutions in diffusive Nicholson’s blowflies equation with nonlocal delay

This paper is concerned with the diffusive Nicholson＇s blowflies equation with nonlocal delay incorporated as an integral convolution over the entire past time up to now and the whole one-dimensional spatial domain R. Assume that the delay kernel is a strong generic kernel. By the linear chain techniques and the geometric singular perturbation theory, the existence of travelling front solutions is shown for small delay.

GLOBAL ATTRACTIVITY IN NICHOLSON'S BLOWFLIES

In this paper we further study the delay differential equation N（t） = - δN（t） + pN（t -τ）e（-aN）（g-τ）,t≥0 （*）used in describing the dynamics of Nicholson’s blowflies. When p】δ, We establish newsufficient conditions for the positive equilibrium N* of （*） which is a global attractor. Ourcriteria improve correspondent results obtained by Kulenovic, Ladas and Sficas [1], and Soand Yu [2].

一类具有反馈控制与多变时滞Nicholson’s Blowflies模型的持久性（英文）

This paper covers the dynamic behaviors for a class of Nicholson's blowflies model with multiple time-varying delay and feedback control. By using the differential inequality theory, a set of sufficient conditions are obtained to ensure the permanence of the system.Our result shows that feedback control variables have no influence on the permanence of the system.

Global attractivity of Nicholson's blowflies system with patch structure and multiple pairs of distinct time-varying delays

This paper is intended to investigate a class of Nicholson's blowflies system with patch structure and multiple pairs of distinct time-varying delays,we are interested in finding the infuence of the distinct time-varying delays in the same reproductive function on its asymptotic behavior.By using the theory of functional differential equations,the fluctuation lemma,and the technique of differential inequalities,some new delay-dependent criteria on the global attractivity of the positive equilibrium point are established.In addition,the effectiveness and feasibility of the theoretical achievements are illustrated by some numerical simulations.

Stochastic Nicholson's blowflies model with delays

In this research work,we introduce a new concept of double measure ergodic processes to identify the space of double measure pseudo almost periodic(or pap)processes in the pth mean sense.We display some findings regarding the completeness as well as the composition theorems and the invariance of the space consisting in double measure pap processes.Motivated by the above-mentioned results,the Banach fixed point theorem and the stochastic analysis techniques,we prove the existence,uniqueness and the global exponential stability of doubly measure pseudo almost periodic mild solution for a class of stochastic Nicholson's blowflies model with mixed delays in a separable real Hilbert space.The concluding part of the work is crowned with an example to confirm the reliability and feasibility of our findings.

时滞Nicholson's Blowflies方程中行波解的Hopf分支

主要利用时滞微分方程中Hopf分支理论探讨时滞Nicholson's Blowflies方程中行波解随时滞量τ大小变化的分支行为.结果发现时滞量经过某一数值τ_0=1/(cω_0) arcsin-cω_0/p时,原系统会产生分支现象,最终导致形成周期性行波解.

具反馈控制的Nicholson’s blowflies模型的概周期解

研究一类具有反馈控制的Nicholson’s blowflies模型,通过利用微分方程比较原理和构造适当的Lyapunov函数得到保证系统持久、全局渐进稳定和相应概周期系统存在唯一全局渐进稳定的概周期正解的充分性判据,并举例说明结果的可行性.

Persistence and extinction of Markov switched stochastic Nicholson’s blowflies delayed differential equation

In this paper,we study the persistence and extinction of Markov switched stochastic Nicholson's blowflies delayed differential equation.We derive sufficient conditions of persistence and extinction for blowflies population,respectively,which solve one of open problems proposed by Zhu et al.

GLOBAL ATTRACTIVITY IN A DISCRETE MODEL OF NICHOLSON'S BLOWFLIES

Consider the delay difference equationNn+1-Nn = - δNn + pNn-kexp(-aNn-k), n = 0,1,2,... (*)where δ ∈ (0,1), p,a ∈ (0,∞) and k ∈ N. We obtain a sufficient condition for all positive solutions of (*) to be attracted to its positive equilibrium N* for p > δ. It improves a correspondent result obtained by Kocic and Ladas [1].

具有反馈控制和时滞的非自治的Nicholson’s Blowfies模型的持久性(英文)

A nonautonomous Nicholson's Blowflies model with feedback control and delay is investigated in this paper. We show that for this system, feedback control variable has no influence on the persistent property of the system.