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All Journal Mandalika Mathematics and Educations Journal
Andi Agung
Universitas Pattimura
Mathematics

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Strategi pengendalian penyebaran penyakit kolera dengan vaksinasi, edukasi, dan karantina: analisis model dan simulasi Agusyarif Rezka Nuha; La Ode Nashar; Andi Agung; Bertu Rianto Takaendengan; Widyastutifajri Nuha
Mandalika Mathematics and Educations Journal Vol 7 No 4 (2025): Desember
Publisher : FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jm.v7i4.10479

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.
Co-Authors Agusyarif Rezka Nuha Bertu Rianto Takaendengan La Ode Nashar Widyastutifajri Nuha