Social media is the most commonly accessed internet content by Indonesian netizens; 97.4 % Indonesians access social media while using the internet. In 2016, Facebook was the most commonly used social media format for Indonesian internet users. While many are benefited by the features offered by Facebook, many also use Facebook for things that they are not supposed to, such as sharing hoaxes, either intentionally or unintentionally. This clearly puts Facebook users at a disadvantage, considering the increasing trend of hoax-sharing nowadays. Therefore, this research aims to prevent the spread of hoax through Facebook by analyzing the pattern of how people use Facebook. This pattern is obtained from a survey on 200 samples that use Facebook, chosen by purposive sampling. Using the Support Vector Machine method, an application of the collaboration between mathematics and computer science, the acquired data is used to predict whether or not someone has the potential of spreading hoaxes. Simulation results show that the average of the prediction accuracy of this binary classification problem is 86 percent. Hence, it is hoped that Facebook could prevent the sharing of hoaxes by making use of the results from this research.

Depression, as the most common mental worldwide disorder, has been the major contributor to suicide deaths. In this paper, we model how depression is contagious among the population using Agent-Based Modeling approach. A sufferer can be affected due to contagion effects of social interactions, particularly from close relationships, then undergo a depressive episode that categorized by mild, moderate, severe. Every episode can be recovered by doing therapy. Those transition processes are described based on gender in a flowchart diagram and simulations, which depend on time using software. Our simulation results represent that the greater contacts rate with someone who affected depression, the more severe of depressive episodes that will be experienced. Further, the greater probability of someone who is going to a therapy can reduce the number of depressed persons over time, especially for contagious depression. Thus, these program simulations and modeling method will be used to calculate and handle the contagion of depression, helping for sufferers’ recovery, and decreasing number of depressed people who commit suicide.