2,841 research outputs found
Existence and global attractivity of positive periodic solutions for the impulsive delay Nicholson's blowflies model
AbstractIn this paper we shall consider the following nonlinear impulsive delay population model:(0.1)x′(t)=-δ(t)x(t)+p(t)x(t-mω)e-α(t)x(t-mω)a.e. t>0,t≠tk,x(tk+)=(1+bk)x(tk),k=1,2,…,where m is a positive integer, δ(t), α(t) and p(t) are positive periodic continuous functions with period ω>0. In the nondelay case (m=0), we show that (0.1) has a unique positive periodic solution x*(t) which is globally asymptotically stable. In the delay case, we present sufficient conditions for the global attractivity of x*(t). Our results imply that under the appropriate linear periodic impulsive perturbations, the impulsive delay equation (0.1) preserves the original periodic property of the nonimpulsive delay equation. In particular, our work extends and improves some known results
Permanence for a Discrete Model with Feedback Control and Delay
The permanence of a single-species population discrete model with feedback control is considered. We found that if we use the method of comparison theorem, then the additional condition, to some extent, is necessary. But for the system itself, this condition may not be necessary. Here, we use new methods instead of the comparison theorem to get the permanence of the system in consideration; the additional condition in Chen's paper (2007) is deleted
GW25-e1097 Investigation of coronary heart disease secondary prevention and standardized follow-up
Unextendible Maximally Entangled Bases in
The construction of unextendible maximally entangled bases is tightly related
to quantum information processing like local state discrimination. We put
forward two constructions of UMEBs in () based on the constructions of UMEBs in and in , which generalizes the results in [Phys. Rev. A. 94, 052302 (2016)] by
two approaches. Two different 48-member UMEBs in have been constructed in detail
Evaluating the Knowledge Management Capability of Organizations through a Fuzzy Linguistic Approach
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