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

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Embargo Period

7-7-2022

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