Abstract
This research investigates a model of the spread of COVID-19 in Indonesia by paying attention to comorbid disease, self-quarantine, government-provided quarantine, and vaccination factors. The symmetrical aspects of the model are studied. The evaluation of the model reveals non-endemic and endemic equilibrium points and the basic reproduction number (BRN). We provide the local and global stability analysis of the equilibriums. According to the sensitivity analysis of the BRN, the key parameters impacting the spread of COVID-19 are the susceptible recruitment rate, contact rate, infection death rate, and probability of infected individuals having no comorbidities. In addition, we provide a sensitivity analysis to examine the effect of parameter changes in each subpopulation. We discovered that the natural death rate is the most sensitive parameter based on the sensitivity index after reaching equilibrium. Symmetry aspects appear in some of the visualizations of the model’s solution and the sensitivity of the BRN and parameters.
Funder
LPPM Universitas Cenderawasih
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference38 articles.
1. Guidelines for Preparedness for Coronavirus Disease (COVID-19). Minist. Health Dir. Gen. Dis. Prev. Control (P2P), 2020. 11–12.
2. Sensitivity theorems of a model of multiple imperfect vaccines for COVID-19;Aguilar-Canto;Chaos Solitons Fractals,2022
3. A Mathematical Model of COVID-19 with Vaccination and Treatment;Diagne;Comput. Math. Methods Med.,2021
4. The modeling and analysis of the COVID-19 pandemic with vaccination and treatment control: A case study of Maharashtra, Delhi, Uttarakhand, Sikkim, and Russia in the light of pharmaceutical and non-pharmaceutical approaches;Rana;Eur. Phys. J. Spec. Top.,2022
5. Optimal control on a mathematical model to pattern the progression of coronavirus disease 2019 (COVID-19) in Indonesia;Sasmita;Glob. Health Res. Policy,2020
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献