An optimal control model with sensitivity analysis for COVID-19 transmission using logistic recruitment rate
Penulis: Jonner Nainggolan, Moch Fandi Ansori, Hengki Tasman
Informasi
JurnalHealthcare Analytics
PenerbitElsevier, Elsevier Inc.
Volume & EdisiVol. 7
Halaman100375
Tahun Publikasi2025
ISSN27724425
Jenis SumberGoogle Scholar
Sitasi
Scopus: 2
Google Scholar: 4
PubMed: 2
Abstrak
This study proposes an optimal control model for COVID-19 spread, incorporating a logistic recruitment rate. The observations show the disease-free equilibrium exists when the population-existing threshold exceeds 1. The stability of equilibrium is determined by the basic reproduction number R 0. This implies that equilibrium is stable when R 0 is less than or equal to 1, but it is unstable when the value is greater than 1. Furthermore, an endemic equilibrium and stability is recorded when R 0 exceeds 1. To identify influential factors in COVID-19 spread, sensitivity index and sensitivity analyses of R 0 are conducted. The model perfectly integrates both prevention and therapy controls. As a result, numerical simulations show that the prevention control is more effective than the treatment control in reducing COVID-19 spread. Moreover, the simultaneous implementation of prevention and treatment controls outperforms …
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