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 re...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展开更多
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...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.展开更多
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 su...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.展开更多
In this paper we further study the delay differential equation N（t） = - δN（t） + pN（t -τ）e<sup>（-aN）（g-τ）</sup>,t≥0 （*）used in describing the dynamics of Nicholson’s blowflies. When p】δ, ...In this paper we further study the delay differential equation N（t） = - δN（t） + pN（t -τ）e<sup>（-aN）（g-τ）</sup>,t≥0 （*）used in describing the dynamics of Nicholson’s blowflies. When p】δ, We establish newsufficient conditions for the positive equilibrium N<sup>*</sup> of （*） which is a global attractor. Ourcriteria improve correspondent results obtained by Kulenovic, Ladas and Sficas [1], and Soand Yu [2].展开更多
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...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.展开更多
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...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.展开更多
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 attract...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].展开更多
基金supported by Natural Sciences and Engineering Research Council of Canada under the NSERC grant RGPIN 354724-08
文摘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
基金Project supported by the National Natural Science Foundation of China (No. 10961017)the"Qing Lan" Talent Engineering Funds of Lanzhou Jiaotong University (No. QL-05-20A)
文摘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.
文摘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.
基金Science Foundation of Hunan Educational Committee.
文摘In this paper we further study the delay differential equation N（t） = - δN（t） + pN（t -τ）e<sup>（-aN）（g-τ）</sup>,t≥0 （*）used in describing the dynamics of Nicholson’s blowflies. When p】δ, We establish newsufficient conditions for the positive equilibrium N<sup>*</sup> of （*） which is a global attractor. Ourcriteria improve correspondent results obtained by Kulenovic, Ladas and Sficas [1], and Soand Yu [2].
基金Supported by the Foundation of Fujian Education Bureau(JA13361)Supported by the National Natural Science Foundation of Fujian Province(2013J01010)
文摘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.
基金Supported by the Program of Fujian Technology Innovation Platform(2009J1007)
文摘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.
文摘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].
