A Sensitivity Analysis of the PSITPS Epidemic Model’s Parameters for COVID-19
DOI:
https://doi.org/10.31642/JoKMC/2018/110210Keywords:
PSITPS Model, COVID-19 Epidemic, The Basic Reproduction Number, Sensitivity Analysis, Numerical AnalysisAbstract
Given the prevailing circumstances surrounding the transmission of COVID-19, which has been classified as a worldwide epidemic by the World Health Organization, a sensitivity analysis was performed on the Protected-Susceptible-Infected-Treated- Protected- Susceptible ( ) epidemic model. The objective of this analysis was to identify the specific parameters associated with the basic reproduction number that contribute to the propagation of the COVID-19 epidemic in Najaf. The findings indicate that the sensitivity index of parameters exhibiting a positive sign is positively correlated with the extent of the epidemic's spread in Najaf. Conversely, parameters displaying a negative sign are inversely correlated with the spread of the epidemic. The analysis was conducted numerically using MATLAB to confirm the results of the study.
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Tian, J., Wu, J., Bao, Y., Weng, X., Shi, L., Liu, B., ... & Liu, Z. (2020). "Modeling analysis of COVID-19 based on morbidity data in Anhui, China." Math. Biosci. Eng., vol. 17, no.4, pp. 2842–2852, doi: 10.3934/MBE.2020158. DOI: https://doi.org/10.3934/mbe.2020158
Ren, L. L., Wang, Y. M., Wu, Z. Q., Xiang, Z. C., Guo, L., Xu, T., ... & Wang, J. W. (2020). "Identification of a novel coronavirus causing severe pneumonia in human: a descriptive study." Chin. Med. J. (Engl)., vol. 133, no. 09 pp. 1015–1024, doi: 10.1097/CM9.0000000000000722. DOI: https://doi.org/10.1097/CM9.0000000000000722
Zanke, A. A., Thenge, R. R., & Adhao, V. S. (2020). "COVID-19: A pandemic declare by world health organization." IP International Journal of Comprehensive and Advanced Pharmacology, vol. 5, no. 2, pp.49-57, https://doi.org/10.18231/j.ijcaap.2020.012. DOI: https://doi.org/10.18231/j.ijcaap.2020.012
“WHO Coronavirus (COVID-19) Dashboard | WHO Coronavirus (COVID-19) Dashboard With Vaccination Data.” https://covid19.who.int/, (accessed May 07, 2023).
Ibrahim, M. A., & Al-Najafi, A. (2020). "Modeling, control, and prediction of the spread of covid-19 using compartmental, logistic, and gauss models: A case study in Iraq and Egypt." Processes, vol. 8, no. 11. pp. 1–16, doi: 10.3390/pr8111400. DOI: https://doi.org/10.3390/pr8111400
“الموقف الوبائي لدائرة صحة النجف الاشرف – 9/5/2022 – دائرة صحة النجف.” https://alnajafhealth.gov.iq/archives/155191, (accessed May 12, 2023).
“Iraq: WHO Coronavirus Disease (COVID-19) Dashboard With Vaccination Data | WHO Coronavirus (COVID-19) Dashboard With Vaccination Data.” https://covid19.who.int/region/emro/country/iq, (accessed May 12, 2023).
Mustafa, A. N., & Ahmad, H. J. (2022). "Modeling the effect of contaminated object, vaccination and treatment on the diseases epidemiology." Passer J. Basic Appl. Sci., vol. 4, no. 2, pp. 105–112, doi: 10.24271/psr.2022.330125.1119. DOI: https://doi.org/10.24271/psr.2022.330125.1119
Gurmu, E. D., Batu, G. B., & Wameko, M. S. (2020). "Mathematical model of novel covid-19 and its transmission dynamics." International Journal of Mathematical Modelling & Computations, vol. 10, no. 2, pp. 141-159.
Samui, P., Mondal, J., & Khajanchi, S. (2020). "A mathematical model for COVID-19 transmission dynamics with a case study of India." Chaos, Solitons & Fractals, vol. 140, pp. 110173-110182, doi: 10.3934/bioeng.2022012. DOI: https://doi.org/10.1016/j.chaos.2020.110173
Rida, S. Z., Farghaly, A. A., & Hussien, F. (2021). "Global Dynamics and Sensitivity Analysis of SEIAR Mathematical Model for COVID-19 Pandemic." Assiut University Journal of Multidisciplinary Scientific Research, vol. 50, no. 2. pp. 1–18, doi: 10.21608/aunj.2021.219661. DOI: https://doi.org/10.21608/aunj.2021.219661
Salam, B. A., Khoshnaw, S. H., Adarbar, A. M., Sharifi, H. M., & Mohammed, A. S. (2022). "Model predictions and data fitting can effectively work in spreading COVID-19 pandemic." AIMS Bioengineering, vol. 9, no. 2. pp. 197–212, doi: 10.3934/bioeng.2022014. DOI: https://doi.org/10.3934/bioeng.2022014
Khoshnaw, S. H., Abdulrahman, K. Y., & Mustafa, A. N. (2022). "Identifying key critical model parameters in spreading of COVID-19 pandemic." Aims Bioeng, vol. 9, pp. 163-177, doi: 10.3934/bioeng.2022012. DOI: https://doi.org/10.3934/bioeng.2022012
Al-Yahyai, M., Al-Musalhi, F., Elmojtaba, I., & Al-Salti, N. (2023). "Mathematical analysis of a COVID-19 model with different types of quarantine and isolation." Math. Biosci. Eng, vol. 20, pp. 1344-1375, doi: 10.3934/mbe.2023061. DOI: https://doi.org/10.3934/mbe.2023061
Mahdi, A. F., Asker, H. K., & Al-Saiq, I. R. (2024). "A Deterministic Mathematical Dynamic System Based on the PSITPS Model for Modeling the COVID-19 Epidemic." Mathematical Modelling of Engineering Problems, Vol. 11, No. 4, pp. 872-882. https://doi.org/10.18280/mmep.110404. DOI: https://doi.org/10.18280/mmep.110404
Wameko, M. S., Wedajo, A. G., & Koya, P. R. (2019). "Mathematical Model for Transmission Dynamics of Typhoid Fever." IOSR Journal of Mathematics (IOSR-JM), Vol. 15, no. 6, pp. 88-99, https://doi.org/10.9790/5728-1506028899.
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