Unraveling the influence of health protocol implementation for different clusters on COVID‐19 transmission in West Java, Indonesia

This article formulates and analyzes the COVID‐19 transmission model on West Java by considering the health protocol implementation level on three different clusters. The transmission possibilities are classified into three clusters based on the society's daily activities, including (1) retaili...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2024-04
Main Authors: Anggriani, Nursanti, Rahmi, Emli, Panigoro, Hasan S., Inayaturohmat, Fatuh, Surya Pangestu, Dhika, Tansah Tresna, Sanubari
Format: Article
Language:English
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Summary:This article formulates and analyzes the COVID‐19 transmission model on West Java by considering the health protocol implementation level on three different clusters. The transmission possibilities are classified into three clusters based on the society's daily activities, including (1) retailing, (2) transit, and (3) recreation. The model was constructed by dividing the population into seven compartments, namely, susceptible ; susceptible in Clusters 1–3 ( , , and ); infected ; quarantined ; and recovered sub‐populations. To confirm the biological validity of the model, the existence, uniqueness, non‐negativity, and boundedness of the solution are investigated. The dynamical behaviors are studied analytically by applying linearization for local stability and the Lyapunov function along with the LaSalle's invariant principle for global stability. Some numerical processes are demonstrated to investigate the most global sensitivity of parameters, parameter estimation, fitting data, and the impact of health protocol implementation on the density of each population.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.10103