We introduce a new dynamic immunization method based on the static immunization algorithm and study the relationship between dynamic and static immunization. By nodes to be immunized according to static immunization strategies, we build a connection between dynamic and static immunization. Using...

Considering homosexual contacts and heterosexual contacts in the course of sexual contacts, double degrees which describe the numbers of homosexual contacts and heterosexual contacts are introduced, correlation coefficients about degrees based on the joint probability distribution are given, and...

An SIS network model incorporating the influence of media coverage on transmission rate is formulated and analyzed. We calculate the basic reproduction number R0 by utilizing the local stability of the disease-free equilibrium. Our results show that the disease-free equilibrium is globally...

The dynamics of interacting botnets and the effects of the strategies selected by interacting botnet owners on the spread of botnets remain unclear. As a result, in this paper, we present a botnet interaction model, obtained by coupling a fast evolutionary game dynamics to a slow population...

In this paper, we propose and study an SIS epidemic model with multiple transmission routes on heterogeneous networks. We focus on the dynamical evolution of the prevalence. Through mathematical analysis, we obtain the basic reproduction number R0 by investigating the local stability of the...

One of the central issues in epidemiology is the study of the distribution of disease. And time delay widely exists in the process of disease spread. Thus, in this paper, we presented an epidemic model with spatial diffusion and time delay. By mathematical analysis, we find two different types...

Multidimensional Item Response Theory (MIRT) has been proposed as a means to model the relation between examinee abilities and test responses. Three recent articles proved that when MIRT is used in ability estimation, an examinee’s score could theoretically decrease due to a correct...

Using the improved Energy-Environmental Version of the GTAP Model (GTAP-E) and the sixth version of emission database of non-CO2 greenhouse gases, we simulate the emission reduction potential of non-CO2 greenhouse gases in China and its policy implications. The results show that at present,...

Based on database of ecological factors and geographic information space analysis method, we analyzed suitability of Wolfiporia extensa (Peck) Ginns producing regions, in the hope of providing reference for scientific zoning and cultivation. Ecological factors we analyzed mainly include...

In this paper, we consider the multi-dimensional Kesten algorithm studied in Xu and Dai (2012). The convergence in rth mean for the algorithm is established under the weaker assumptions than Xu and Dai (2012). Moreover, we obtain also the almost sure convergence of the algorithm under the...