Abstract
Coronavirus disease is an infectious viral disease threatening the world. It was first found in China, in December 2019, and it has been spreading in more than 210 countries. The heterogeneity of the transmission of the disease should be considered to formulate the model of the disease dynamics. Deterministic models assume constant recovery rate and transmission rate of the disease that are inconsistent with the reality. Using fuzzy theory, the heterogeneity and uncertainty on the disease transmission can be described. In the present work, we study transmission of COVID-19 with fuzzy SAIHR compartmental model. We consider asymptomatic and symptomatic infected compartments. Also, we calculate the basic reproduction number \({R}_{0}\), fuzzy basic reproduction \({R}_{0}^{f}\) and describe the relation between them with different virus loads. Simulation is made to study results of the model graphically.
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References
World Health Organization: Situation update. View corona virus disease 2019 (COVID 19) (2020). https://www.worldmeters.info/coronavirus
Bastola, A., Sah, R., Morales, A.J.R., Chu, D.: The first 2019 novel corona virus in Nepal. Natl. Libr. Med. 20, 279–280 (2020)
MoHP: Nepal’s Latest Update on COVID-19. Ministry of Health and Population, Kathmandu, Nepal (2020)
World Health Organization: Modes of transmission of virus causing COVID-19: Implication for IPC precaution recommendation, 29 March 2020. https://www.who.int/newsroom/commentaries/detail/mods-of-transmission-of-virus-causing-covid-10-implication-foripc-precaution-recommendations
Pan, Y., Zhang, D., Yang, P., Poon, L.L.M., Wang, Q.: Viral load of SARS-CoV-2 in clinical samples. Lancet Infect Dis. 20(4), 411–412 (2020)
Polonsky, J.A., et al.: Outbreak analytics: a developing data science for informing the response to emerging pathogens. Philos. Trans. R. Soc. B 374, 1–11 (2019)
Bhuju, G., Phaijoo, G.R., Gurung, D.B.: Sensitivity analysis of COVID-19 transmission dynamics. Int. J. Adv. Eng. Res. Appl. (IJA-ERA) 6(4), 72–82 (2020)
Qasim, M., Ahmad, W., Yoshida, M., Gould, M., Yasir, M: Analysis of the worldwide corona virus (COVID-19) pandemic trend: a modeling study of predict its spread, medRxiy (2020)
Quasim, M., Ahmad, W., Zhang, S., Yasir, M., Azhar, M.: Data model to predict prevalence of COVID-19 in Pakistan, medRxiy (2020)
Singh, J., Ahluwalia, P.K., Kumar, A.: Mathematical model based COVID-19 prediction in India and its different stated. medRxiy (2020)
Tang, Y., Wang, S.: Mathematical modeling of COVID-19 in the United States. Emerg. Microbes Infect. 9(1), 827–829 (2020)
Bhuju, G., Phaijoo, G.R., Gurung, D.B.: Mathematical study on impact of temperature in malaria disease transmission dynamics. Adv. Comput. Sci. 1(2), 1–8 (2018)
Bhuju, G., Phaijoo, G.R., Gurung, D.B.: Fuzzy approach analyzing SEIR-SEI sengue dynamics. Biomed. Res. Int. 2020, 1–11 (2020)
Bhuju, G., Phaijoo, G.R., Gurung, D.B.: Modeling transmission dynamics of COVID-19 in Nepal. J. Appl. Math. Phys. 8, 2167–2173 (2020)
Phaijoo, G.R., Gurung, D.B.: Sensitivity analysis of SEIR-SEI model of dengue disease. GAMS J. Math. Math. Biosci. 6(a), 41–50 (2018)
Phaijoo, G.R., Gurung, D.B.: Mathematical model of dengue disease transmission dynamics with control measures. J. Adv. Math. Comput. Sci. 23, 1–12 (2017)
Kermack, W.O., MacKendrick, A.G.: Contribution to the mathematical theory of epidemic. Bull. Math. Biol. 53(1–2), 33–55 (1927)
Li, Y., Wang, B., Peng, R., Zhan, Y., Liu, Z., Jiang, X., Zhao, B.: Mathematical modeling and epidemic prediction of COVID-19 and its significance to epidemic prevention and control measures. Ann. Infect. Dis. Epidemiol. 5(1), 1–9 (2020)
Phaijoo, G.R., Gurung, D.B.: Mathematical study of dengue disease transmission in multi-patch environment. Appl. Math. 7, 1521–1533 (2016)
Souleiman, Y., Mohamed, A., Ismail, L: Analysis the dynamics of SIHR model: COVID-19 case in Djibouti. Math. Comput. Sci. Appl. Math. 239(1), (2020)
Zadeh, L.A.: Fuzzy set. Inf. Control 8, 338–353 (1965)
Mondal, P.K., Jana, S., Haldar, P., Kar, T.K.: Dynamical behavior of an epidemic model in a fuzzy transmission. Int. J. Univ. Fuzziness Knowl. Base Syst. 23, 651–665 (2015)
De Barros, L.C., Ferreira Laite, M.B., Bassanez, R.C.: The SI epidemiological models with a fuzzy transmission parameter. Int. J. Comput. Math. Appl. 45, 1619–1628 (2003)
Massad, E., Ortega, N.R.S., De Barros, L.C., Struchiner, C.J.: Fuzzy logic in action: application in epidemiology and beyond. Stud. Fuzzyness Soft Cimput. 232, 97–110 (2008)
Ahmad, S., Ullha, A., Shah, K., Salahshour, S., Ahmadian, A., Ciano, T.: Fuzzy fractional-order model of the novel coronavirus. Adv. Differ. Eqn. 472, 1–17 (2020)
Barros, L.C., Oliveira, R.Z.G., Leite, M.B.F., Bassanezi, R.C.: Epidemiological model of directly transmitted disease: An approach via fuzzy sets theory. Int. J. Univ. Fuzzyness Knowl. Based Syst. 22(5), 769–781 (2014)
Diekmann, O., Heesterbeek, J.A.P., Metz, J.A.J.: On the definition in Heterogeneous populations. J. Math. Biol. 28(4), 365–382 (1990)
Driessche, P., Watmough, J.: Reproduction number and sub-threshold endemic equilibria for compartment models for disease transmission. Math. Biosci. 180, 29–48 (2002)
Verma, R., Tiwari, S.P., Ranjit, U.: Dynamical behavior of fuzzy SIR epidemic model. Confer. Pap. Adv. Intel. Syst. Comput. 10, 482–492 (2018)
Supriya, L.: Virus Load Peak Before Symptom Onset in COVID-19. News Medical Life Science. https://www.news-medical.net/news/20201005/Viral-loads-peakbeforesymptom-onset-in-COVID-19.aspxl
Wiggins, S.: Introduction to Applied Nonlinear Dynamical Systems and Chaos, Texts in Applied Mathematics, 2nd edn. (2003)
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Bhuju, G., Phaijoo, G.R., Gurung, D.B. (2022). Fuzzy Model of Transmission Dynamics of COVID-19 in Nepal. In: Sahni, M., Merigó, J.M., Sahni, R., Verma, R. (eds) Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy. Advances in Intelligent Systems and Computing, vol 1405. Springer, Singapore. https://doi.org/10.1007/978-981-16-5952-2_37
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