Nursanti Anggriani, Emli Rahmi, Hasan S. Panigoro, Fatuh Inayaturohmat, Dhika Surya Pangestu, Sanubari Tansah Tresna
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 (Formula presented.); susceptible in Clusters 1–3 ((Formula presented.), (Formula presented.), and (Formula presented.)); infected (Formula presented.); quarantined (Formula presented.); and recovered (Formula presented.) 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. © 2024 John Wiley & Sons Ltd.
Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Padjadjaran, Jawa Barat, Sumedang, Indonesia; Post Doctoral Program, Department of Mathematics, Universitas Padjadjaran, Jawa Barat, Sumedang, Indonesia; Biomathematics Research Group, Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo, Bone Bolango, Indonesia
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