Work

Mathematical Modeling of Student Learning Behavior: Seir Model with the Effect of Learning Motivation and Social Interaction

Year: 2022

Type: article

Abstract: This study aims to determine the mathematical model of student learning behavior. The model is designed by analogizing the spread of learning behavior with infectious diseases so that the model can be formed into an SEIR epidemic model. The survey was conducted by administering a questionnaire on learning behavior to junior high school students, with a population of 1,143. The simulation model results show that the peak of students' vulnerability to changes in learning behavior increases rapidly in the first two days and will be stable when passing the 150th day. The simulation results of the SEIR mathematical model with an incubation period of 365 days found that student learning behavior in Non-Boarding Schools will be stable on day 198, while it is on day 201 for Boarding Schools students. Infection cases in Boarding Schools fell to 0 on day 25, while in Non-Boarding Schools, they decreased on day 21, meaning that infections occurring in Boarding Schools were slower, and the students were more resistant. This study shows that the generated models can potentially make a short-term prediction of the spread spike of cases of deviant learning behavior among Junior high school students.

Source: Journal on Mathematics Education

DOI: 10.22342/jme.v13i3.pp415-436

Authors: Mailizar Mailizar, Mutiawati Mutiawati, Rahmah Johar, Marwan Ramli

Institution: Universitas Syiah Kuala

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

SDG: Quality education

Open Access status: gold

Estimated APC paid: $250