The earlier analytical analysis (part A) of the susceptible–infectious–recovered (SIR)
epidemics model for a constant ratio k of infection to recovery rates is extended here to the …

Studies on how a rumor spreads have attracted increasing attention because rumors can
shape public opinion and affect beliefs, thereby changing individuals' attitude toward social …

Mathematical Modeling: Models, Analysis and Applications, Second Edition introduces
models of both discrete and continuous systems. This book is aimed at newcomers who …

Similar to the spread of infectious diseases, rumor spread has a significant impact on human
lives. As the saying goes,“rumors end with the wise” and the proportion of the wisemen in …

The rapid development of the Internet, especially the emergence of the social networks,
leads rumor propagation into a new media era. In this paper, we are concerned with a …

In an attempt to illustrate the dynamics of the spread of scam rumors and its impact in a
heterogeneous population or social network we adopt the epidemiological model approach …

This paper presents a system of differential equations that describes the spreading of a
rumor when it is propagated by different subgroups of spreaders. The system that is …

The exponential growth of communication facilities and social networks has been radically
changing human habits and influencing the interaction processes, such as purchasing …

Disruptive computer viruses have inflicted huge economic losses. This paper addresses the
development of a cost‐effective dynamic control strategy of disruptive viruses. First, the …

The primary purpose of this study is to perform the comparison of deterministic and
stochastic modeling. The effect of threshold number is also observed in this model. For …