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 dierential inequality theory, a set of sucient conditions are obt...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 dierential inequality theory, a set of sucient 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 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 regar...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.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 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 dierential inequality theory, a set of sucient 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.
文摘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.
基金Supported by the National Natural Science Foundation of China(11071001)the Key Project of Anhui Provincial Education Department(KJZ2009A2005z)the Research Fund for the Doctoral Program of Higher Education of China(20093401110001)
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].
