Anhui University of Finance and Economics

About: Anhui University of Finance and Economics is a education organization based out in Bengbu, China. It is known for research contribution in the topics: China & Hopf bifurcation. The organization has 933 authors who have published 1070 publications receiving 11500 citations. The organization is also known as: AUFE.

Study on the innovation efficiency of China's high-tech industry considering the enterprise nature

Abstract: This paper applies the DEA model to measure the innovation efficiency of the regional high-tech industry, domestic, Hong Kong, Macao and Taiwan and foreign-invested enterprises in China between 2008 and 2014. The results show that: (i) from the whole, if the differences in enterprise nature is not considered, the average innovation efficiency of China's high-tech industry is 0.748, and the pure technical efficiency and scale efficiency have some space to improve. The industry efficiencies in central and western provinces are low. (ii) The average efficiency of China's domestic, Hong Kong, Macao and Taiwan and foreign-invested enterprises are 0.476, 0.529 and 0.525 respectively, which are lower than traditional DEA efficiency significantly, the efficiency of domestic enterprises was the lowest, and it showed a slight increase during the examination period. There are some differences in the root causes of efficiency loss in each province. For example, domestic enterprises' innovation efficiency in Beijing is low, et al.

A delayed computer virus model with nonlinear incidence rate

Abstract: An Susceptible-Vaccinated-Exposed-Infectious-Recovered computer virus model with nonlinear incidence rate and two delays is proposed and its Hopf bifurcation is investigated. The existence of Hopf ...

Dynamics of a delayed model for the transmission of malicious objects in computer network.

Abstract: An SEIQRS model for the transmission of malicious objects in computer network with two delays is investigated in this paper. We show that possible combination of the two delays can affect the stability of the model and make the model bifurcate periodic solutions under some certain conditions. For further investigation, properties of the periodic solutions are studied by using the normal form method and center manifold theory. Finally, some numerical simulations are given to justify the theoretical results.

Global existence and exponential stability of periodic solutions for recurrent neural networks with functional delay

Abstract: This paper proposes a class of more general model of recurrent neural networks with functional delay, which has been found more suitable to apply directly. Simple and easily checkable conditions of existence, uniqueness, and global exponential stability of periodic solution for the recurrent neural network equations are obtained, utilizing the Lyapunov functional method and the theory of coincidence degree. Some known results are generalized and improved. Copyright © 2007 John Wiley & Sons, Ltd.

Induced subgraphs of product graphs and a generalization of Huang's theorem

Abstract: Recently, Huang showed that every $(2^{n-1}+1)$-vertex induced subgraph of the $n$-dimensional hypercube has maximum degree at least $\sqrt{n}$ in [Annals of Mathematics, 190 (2019), 949--955]. In this paper, we discuss the induced subgraphs of Cartesian product graphs and semi-strong product graphs to generalize Huang's result. Let $\Gamma_1$ be a connected signed bipartite graph of order $n$ and $\Gamma_2$ be a connected signed graph of order $m$. By defining two kinds of signed product of $\Gamma_1$ and $\Gamma_2$, denoted by $\Gamma_1\widetilde{\Box}\Gamma_2$ and $\Gamma_1\widetilde{\bowtie} \Gamma_2$, we show that if $\Gamma_1$ and $\Gamma_2$ have exactly two distinct adjacency eigenvalues $\pm\theta_1$ and $\pm\theta_2$ respectively, then every $(\frac{1}{2}mn+1)$-vertex induced subgraph of $\Gamma_1\widetilde{\Box}\Gamma_2$ (resp. $\Gamma_1\widetilde{\bowtie} \Gamma_2$) has maximum degree at least $\sqrt{\theta_1^2+\theta_2^2}$ (resp. $\sqrt{(\theta_1^2+1)\theta_2^2}$). Moreover, we discuss the eigenvalues of $\Gamma_1\widetilde{\Box} \Gamma_2$ and $\Gamma_1\widetilde{\bowtie} \Gamma_2$ and obtain a sufficient and necessary condition such that the spectrum of $\Gamma_1\widetilde{\Box}\Gamma_2$ and $\Gamma_1\widetilde{\bowtie}\Gamma_2$ are symmetric, from which we obtain more general results on maximum degree of the induced subgraphs.