Zhuo Liu

Previous studies revealed that the susceptibility, contacting preference, and recovery probability markedly alter the epidemic outbreak size and threshold. The recovery probability of an infected node is closely related to its obtained resources. How to allocate limited resources to infected neighbors is extremely important for containing the epidemic spreading on complex networks. In this paper, we proposed an epidemic spreading model on complex networks, in which we assume that the node has heterogeneous susceptibility and contacting preference, and susceptible nodes are willing to share their resources to neighbors. Through a developed heterogeneous mean-field theory and a large number of numerical simulations, we find that the recovered nodes provide resources uniformly to their infected neighbor nodes, and the epidemic spreading can be suppressed optimally on homogeneous and heterogeneous networks. Besides, altering the susceptibility and contacting preference does not qualitatively change the results. The susceptibility of the node decreases, which makes the outbreak threshold of epidemic spreading increase, and the outbreak size decreases. Our theory agrees well with the numerical simulations.

Forensic psycholinguistics is an emerging interdisciplinary subject that makes use of the psychological methods to analyze the linguistic phenomena in legal activities and therefore it is of the multiple and cross-disciplinary nature. In ancient Chinese culture there were written expressions with thoughts of foren­sic psycholinguistics and its practices. In Western countries the research started from European societies at the end of 19th cen­tury when Münsterberg and Cattell and some other scholars act­ed as the pioneers of this domain. After the WWII the research center of forensic psycholinguistics gradually moved to the Unit­ed States where the research of legal psychology and the use of psychological methods greatly facilitate the study and practic­es of forensic psycholinguistics. Its study object aims at the lin­guistic behavior in such legal activities as legislation, judicial, the obeying of the law and transgression, and its task should be the research on the behavior of the legal language in both levels of consciousness and unconsciousness. The construction of the system for forensic psycholinguistics should start from the perspectives of linguistic psychology of legislation, judicial, the enforcement and obeying of the law and the legal publicity so that a cross-cultural emerging subject with its values of prac­tical application could be created.

The two-dimensional coupled map lattice model has been extensively employed as the basis component for designing various schemes in the cryptography system due to its complicated chaotic dynamic behavior. In this study, we analyze the chaotic characteristics of the 2D CML model, such as the Lyapunov exponent, synchronization stability, bifurcation, and ergodicity. We then show that the chaotic sequences generated by the 2D CML model are random according to the NIST testing. Furthermore, we propose an image encryption scheme based on the 2D CML model and Singular Value Decomposition. In our scheme, the SVD method is used to reduce the image storage, and the Red, Green, and Blue channels of a color image will be encrypted through confusion and diffusion. The simulation results, as well as the results of the comparison with other schemes, demonstrate that our scheme possesses outstanding statistics, excellent encryption performance, and high security. It has great potential for ensuring the security of digital images in real applications.