00000ctm a22000003a 4500 UP-8027390931312570361 Buklod 20240802140542.0 o--- | || || ta 240802s2022 xx d r |||| u| (iLib)UPCEB-00013239880 UPC eng LG 993.5 2022 M38 C37 Castro, Franchine Faith M. author. Local stability analysis and numerical simulation of a mathematical model for rabies transmission Franchine Faith M. Castro, Cherrylyn P. Alota, thesis adviser. Cebu City College of Science, University of the Philippines Cebu 2022. ix, 39 leaves illustrations Thesis (Bachelor of Science in Mathematics)--University of the Philippines Cebu, June 2022. Yes-Available to the general public. No-Available only after consultation with author/adviser for thesis. No-Available only to those bound by non-disclosure or confidentiality agreement. P-the author wishes to publish the work personally In this paper, we analyze K. Addo's epidemiological model [1] for rabies transmission in a dog population. The model considers an SEIR population and is described by a system of autonomous nonlinear equations. We prove the boundedness and positivity of solutions of the system. We show and investigate the existence and stability of the equilibrium points of the system through the basic reproduction number which is computed using the next generation matrix. In addition, numerical examples were utilize using MATLAB to facilitate the analytical findings and provide biological interpretations. The results show that changes in the rate of rabies vaccination among dogs had a considerable impact on the rate of rabies transmission. This has been demonstrated that increasing the vaccination rate but decreasing the transmission rate among dogs will not cause an epidemic, however increasing the transmission rate while reducing the vaccination rate in dogs will trigger an outbreak. Algebra. Alota, Cherrylyn P. thesis adviser. UP UPCEB CEBU-LAHUG LG 993.5 2022 M38 C37 Thesis