Date of Publication
2022
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics with specialization in Business Applications
Subject Categories
Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics Department
Thesis Advisor
Ederlina G. Nocon
Defense Panel Chair
Mark Anthony A. Garcia
Defense Panel Member
Diana C. Songsong
Abstract/Summary
The COVID-19 is a global pandemic that has threatened the entire world. Through the advice of scientists and health officials, governments have made various interventions such as imposing rules regarding social distancing and wearing of masks and even administering vaccines to the public. All of these are meant to minimize the spread of the virus and yet there are individuals who would rather choose not to comply with these health protocols. This study aims to explore some approaches that will help analyze the impact of health protocols in the reduction of the spread of the COVID-19 virus using three mathematical models, namely, game, reaction network, and SEIR models. Seeing the situation as a game, the conditions that lead to the attainment of the Nash equilibrium were examined. Then, a reaction network from the game model was formulated. Consequently, various situations that tell when a noncompliance move becomes more beneficial than compliance to individuals in a population were considered. Lastly, an SEIR model was used to determine the possible trend of infection in a population where the efficacy of interventions and percentage of compliance are considered with parameters referenced from Philippine COVID-19 data. With this study, the discussions on the above- mentioned models are expected to be helpful for those who are interested in studying the mathematical foundations of these. Readers will understand how situations like the pandemic may be analyzed using different methods that are anchored on mathematical theories.
Abstract Format
html
Language
English
Format
Electronic
Physical Description
28 num. leaves
Keywords
COVID-19 (Disease); Games; Mathematical models
Recommended Citation
De Leon, S. T., & Salud, M. M. (2022). On the impact of health protocols in reducing the spread of COVID-19 virus: Analytical approaches through game, reaction network and SEIR models. Retrieved from https://animorepository.dlsu.edu.ph/etdb_math/7
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Embargo Period
7-7-2022