Mandalika Mathematics and Educations Journal
Vol 7 No 4 (2025): Desember

Strategi pengendalian penyebaran penyakit kolera dengan vaksinasi, edukasi, dan karantina: analisis model dan simulasi

Nuha, Agusyarif Rezka (Unknown)
Nashar, La Ode (Unknown)
Agung, Andi (Unknown)
Takaendengan, Bertu Rianto (Unknown)
Nuha, Widyastutifajri (Unknown)



Article Info

Publish Date
14 Dec 2025

Abstract

Cholera is an infectious disease transmitted through water contaminated with Vibrio cholerae bacteria. This disease remains a public health challenge, especially in areas with poor sanitation. This study developed an SVIQR-B mathematical model to analyze the dynamics of cholera spread, taking into account the effects of quarantine, vaccination, and environmental hygiene education. The analysis was conducted on disease-free and endemic equilibrium points using a local stability approach based on the basic reproduction number (R0). The results showed that when R0 < 1 , the disease would disappear from the population, while R0 > 1 indicated the potential for endemicity. Sensitivity analysis and numerical simulation results indicate that an increase in the transmission rate and a decrease in vaccine effectiveness cause an increase in the value, while an increase in vaccination coverage and the effectiveness of education contribute to a decrease in infection rates. These findings emphasize the importance of implementing integrated medical and educational interventions in efforts to control cholera in a sustainable manner.

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Journal Info

Abbrev

MANDALIKA

Publisher

Subject

Mathematics

Description

Mandalika Mathematics and Education Journal adalah Jurnal Matematika dan Pendidikan Matematika yang dikelola oleh Program Studi S1 Pendidikan Matematika FKIP Universitas Mataram. Fokus dan ruang lingkup dari jurnal ini adalah artikel ilmiah baik berupa hasil penelitian, review artikel maupun kajian ...