COVID-19 TRANSMISSION MODEL WITH DISCRETE TIME APPROACH

被引:1
作者
Pangestu, D. S. [1 ]
Tresna, S. T. [1 ]
Inayaturohmat, F. [1 ]
Anggriani, N. [2 ]
机构
[1] Padjadjaran State Univ, Dept Math, Masters Program Math, Jl Raya Bandung Sumedang Km 21, Kab Sumedang 45363, Jawa Barat, Indonesia
[2] Padjadjaran State Univ, Dept Math, Jl Raya Bandung Sumedang Km 21, Kab Sumedang 45363, Jawa Barat, Indonesia
关键词
COVID-19; nonlinear least squares; dynamical theory; VACCINATION;
D O I
10.28919/cmbn/7622
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this research, we developed model of SIR for COVID-19 spread. The model is represented by a deterministic discrete-time model. The model is constructed with divided the population into three compartments, namely Susceptible, Infected, and Recovered denoted by S, I, and R, respectively. This research aims to formulate a model for describing the spread of COVID-19 with a data-driven approach. In this research, the model parameters were estimated using the nonlinear least squares method. The data used are daily cases of COVID-19 data in West Java, Indonesia. In addition, other parameters such as birthrate and mortality rate were calibrated using population data and mortality data in the pre-pandemic period. Finally, through numerical simulation, the population dynamics is observed in the model that has been formed based on the estimated parameters.
引用
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页数:12
相关论文
共 16 条
[1]  
Bazanella AS, 2012, COMMUN CONTROL ENG, P69, DOI 10.1007/978-94-007-2300-9_4
[2]  
BPS, 2021, Result of 2020 population census of Jawa Barat Province
[3]  
CDC, 2020, CDC FAQ on COVID-19.
[4]   A Mathematical Model of COVID-19 with Vaccination and Treatment [J].
Diagne, M. L. ;
Rwezaura, H. ;
Tchoumi, S. Y. ;
Tchuenche, J. M. .
COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE, 2021, 2021
[5]   The construction of next-generation matrices for compartmental epidemic models [J].
Diekmann, O. ;
Heesterbeek, J. A. P. ;
Roberts, M. G. .
JOURNAL OF THE ROYAL SOCIETY INTERFACE, 2010, 7 (47) :873-885
[6]  
Dudine P., 2020, IMF Working Papers, V2020, P1, DOI [10.5089/9781513550220.001, DOI 10.5089/9781513550220.001]
[7]   OPTIMAL CONTROL AND SENSITIVITY ANALYSIS OF COVID-19 TRANSMISSION MODEL WITH THE PRESENCE OF WANING IMMUNITY IN WEST JAVA']JAVA, INDONESIA [J].
Inayaturohmat, Fatuh ;
Anggriani, Nursanti ;
Supriatna, Asep Kuswandi .
COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE, 2022,
[8]   Simplified Mathematical Modelling of Uncertainty: Cost-Effectiveness of COVID-19 Vaccines in Spain [J].
Marco-Franco, Julio Emilio ;
Pita-Barros, Pedro ;
Gonzalez-de-Julian, Silvia ;
Sabat, Iryna ;
Vivas-Consuelo, David .
MATHEMATICS, 2021, 9 (05)
[9]  
Pikobar, 2022, Statistik Kasus COVID-19 Provinsi Jawa Barat.
[10]   The potential health and economic value of SARS-CoV-2 vaccination alongside physical distancing in the UK : a transmission model-based future scenario analysis and economic evaluation [J].
Sandmann, Frank G. ;
Davies, Nicholas G. ;
Vassall, Anna ;
Edmunds, W. John ;
Jit, Mark .
LANCET INFECTIOUS DISEASES, 2021, 21 (07) :962-974