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
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
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
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.
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].
