Comparison of a random model of Hand-Foot-Mouth Disease model with Gaussian and Laplacian parameters
Yıl: 2022 Cilt: 12 Sayı: 1 Sayfa Aralığı: 200 - 210 Metin Dili: İngilizce DOI: 10.17714/gumusfenbil.973990 İndeks Tarihi: 18-11-2022
Comparison of a random model of Hand-Foot-Mouth Disease model with Gaussian and Laplacian parameters
Öz: In this study, we investigate the transmission dynamics of Hand-Foot-Mouth disease (HFMD) using a differential equation system with random parameters. We transform the parameters of the existing deterministic model into random variables with Normal and Laplace distributions. Using the results from the simulations of the random model, we analyze the changes in the compartments of the total population. The random model, unlike the deterministic system, enables the analysis of the variations in the transmission dynamics of the disease. Finally, the randomness of the system is interpreted through the comparison of the results from the deterministic and random models.
Anahtar Kelime: Bir rastgele El-Ayak-Ağız Hastalığı modelinin Normal ve Laplace dağılımına sahip parametrelerle karşılaştırılması
Öz: Bu çalışmada, El-Ayak-Ağız Hastalığının yayılım dinamikleri bir diferansiyel denklem sistemi ve rastgele parametreler kullanarak incelenmektedir. Var olan deterministik modelin parametreleri Normal dağılım ve Laplace dağılımına sahip rastgele değişkenler haline getirilmektedir. Rastgele modelin simülasyonlarından elde edilen sonuçlarla toplam nüfusun kompartmanlarındaki değişimler analiz edilmektedir. Rastgele model, deterministik sistemin aksine, hastalığın yayılım dinamiklerindeki varyasyonların analizine imkan sağlamaktadır. Son olarak, sistemin rastgele yapısı deterministik ve rastgele sonuçların karşılaştırılması ile yorumlanmaktadır.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- Chadsuthi, S., & Wichapeng, S. (2018). The modelling of hand, foot, and mouth disease in contaminated environments in Bangkok, Thailand. Computational and Mathematical Methods in Medicine, 2018, Article ID 5168931, https://doi.org/10.1155/2018/5168931
- Chen, S., Yang, D., Liu, R., Zhao, J., Yang, K., & Chen, T. (2019). Estimating the transmissibility of hand, foot, and mouth disease by a dynamic model. Public Health, 174, 42-48, https://doi.org/10.1016/j.puhe.2019.05.032
- Dai, C., Wang, Z., Wang, W., Li, Y., & Wang, K. (2019). Epidemics and underlying factors of multiple-peak pattern on hand, foot and mouth disease in Wenzhou, China. Mathematical Biosciences and Engineering, 16(4), 2168-2188, http://dx.doi.org/10.3934/mbe.2019106
- Forbes, C., Evans, M., Hastings, N., & Peacock, B. (2011). Statistical Distributions, John Wiley & Sons
- Huang, Z., Wang, M., Qiu, L., Wang, N., Zhao, Z., Rui, J., & Chen, T. (2019). Seasonality of the transmissibility of hand, foot and mouth disease: A modelling study in Xiamen City, China. Epidemiology and Infection, 147, E327, https://doi.org/10.1017/S0950268819002139
- Li, Y., Huang, M., & Peng, L. (2019). A multi-group model for estimating the transmission rate of hand, foot and mouth disease in mainland China. Mathematical Biosciences and Engineering, 16(4), 2305–2321, http://dx.doi.org/10.3934/mbe.2019115
- Liao, Y., He, Y., Lu, Y., Yang, H., Su, Y., Chiang, Y., & Chen, T. (2019). Relative transmissibility of hand, foot and mouth disease from male to female individuals. Epidemiology and Infection, 147, E284, https://doi.org/10.1017/S0950268819001729
- Luo, K., Rui, J., Hu, S., Hu, Q., Yang, D., Xiao, S., Zhao, Z., Wang, Y., Liu, X., Pan, L., An, R., Guo, D., Su, Y., Zhao, B., Gao, L., & Chen, T. (2020). Interaction analysis on transmissibility of main pathogens of hand, foot, and mouth disease: A modeling study (a STROBE-compliant article). Medicine, 99(11), e19286, https://dx.doi.org/10.1097/MD.0000000000019 286
- Merdan, M., Bekiryazici, Z., Kesemen, T., & Khaniyev, T. (2017). Deterministic stability and random behavior of a Hepatitis C model. PloS one, 12(7), e0181571, https://doi.org/10.1371/journal.pone.0181571
- Merdan, M., Bekiryazici, Z., Kesemen, T., & Khaniyev, T. (2018). Analyzing the dynamics of Ebola transmission with random effects. Communications in Mathematical Biology and Neuroscience, 2018, Article ID 22, https://doi.org/10.28919/cmbn/3822
- Phonchan, P., & Naowarat, S. (2019). Sensitivity Analysis of Hand Foot Mouth Disease Model with Public Health Resources. Southeast Asian Journal of Sciences, 7(1), 59-70
- Pongsumpun, P., & Wongvanich, N. (2018). Age Structural Model of the Hand Foot Mouth Disease in Thailand. 2018 2nd European Conference on Electrical Engineering and Computer Science (EECS) (pp. 134-141). Bern, Switzerland, https://doi.org/10.1109/EECS.2018.00033
- Shi, R., & Lu, T. (2020). Dynamic analysis and optimal control of a fractional order model for hand-foot- mouth disease. Journal of Applied Mathematics and Computing, 64, 565–590, https://doi.org/10.1007/s12190-020-01369-w
- Tan, H., & Cao, H. (2018). The dynamics and optimal control of a hand-foot-mouth disease model. Computational and Mathematical Methods in Medicine, 2018, Article ID 9254794, https://doi.org/10.1155/2018/9254794
- World Health Organization (n.d.), Hand, Foot and Mouth Disease (2021, 24 March). https://www.who.int/westernpacific/emergencie s/surveillance/archives/hand-foot-and-mouth- disease
| APA | Bekiryazıcı Z, Hasimoglu S (2022). Comparison of a random model of Hand-Foot-Mouth Disease model with Gaussian and Laplacian parameters. , 200 - 210. 10.17714/gumusfenbil.973990 |
| Chicago | Bekiryazıcı Zafer,Hasimoglu Saime Comparison of a random model of Hand-Foot-Mouth Disease model with Gaussian and Laplacian parameters. (2022): 200 - 210. 10.17714/gumusfenbil.973990 |
| MLA | Bekiryazıcı Zafer,Hasimoglu Saime Comparison of a random model of Hand-Foot-Mouth Disease model with Gaussian and Laplacian parameters. , 2022, ss.200 - 210. 10.17714/gumusfenbil.973990 |
| AMA | Bekiryazıcı Z,Hasimoglu S Comparison of a random model of Hand-Foot-Mouth Disease model with Gaussian and Laplacian parameters. . 2022; 200 - 210. 10.17714/gumusfenbil.973990 |
| Vancouver | Bekiryazıcı Z,Hasimoglu S Comparison of a random model of Hand-Foot-Mouth Disease model with Gaussian and Laplacian parameters. . 2022; 200 - 210. 10.17714/gumusfenbil.973990 |
| IEEE | Bekiryazıcı Z,Hasimoglu S "Comparison of a random model of Hand-Foot-Mouth Disease model with Gaussian and Laplacian parameters." , ss.200 - 210, 2022. 10.17714/gumusfenbil.973990 |
| ISNAD | Bekiryazıcı, Zafer - Hasimoglu, Saime. "Comparison of a random model of Hand-Foot-Mouth Disease model with Gaussian and Laplacian parameters". (2022), 200-210. https://doi.org/10.17714/gumusfenbil.973990 |
| APA | Bekiryazıcı Z, Hasimoglu S (2022). Comparison of a random model of Hand-Foot-Mouth Disease model with Gaussian and Laplacian parameters. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, 12(1), 200 - 210. 10.17714/gumusfenbil.973990 |
| Chicago | Bekiryazıcı Zafer,Hasimoglu Saime Comparison of a random model of Hand-Foot-Mouth Disease model with Gaussian and Laplacian parameters. Gümüşhane Üniversitesi Fen Bilimleri Dergisi 12, no.1 (2022): 200 - 210. 10.17714/gumusfenbil.973990 |
| MLA | Bekiryazıcı Zafer,Hasimoglu Saime Comparison of a random model of Hand-Foot-Mouth Disease model with Gaussian and Laplacian parameters. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, vol.12, no.1, 2022, ss.200 - 210. 10.17714/gumusfenbil.973990 |
| AMA | Bekiryazıcı Z,Hasimoglu S Comparison of a random model of Hand-Foot-Mouth Disease model with Gaussian and Laplacian parameters. Gümüşhane Üniversitesi Fen Bilimleri Dergisi. 2022; 12(1): 200 - 210. 10.17714/gumusfenbil.973990 |
| Vancouver | Bekiryazıcı Z,Hasimoglu S Comparison of a random model of Hand-Foot-Mouth Disease model with Gaussian and Laplacian parameters. Gümüşhane Üniversitesi Fen Bilimleri Dergisi. 2022; 12(1): 200 - 210. 10.17714/gumusfenbil.973990 |
| IEEE | Bekiryazıcı Z,Hasimoglu S "Comparison of a random model of Hand-Foot-Mouth Disease model with Gaussian and Laplacian parameters." Gümüşhane Üniversitesi Fen Bilimleri Dergisi, 12, ss.200 - 210, 2022. 10.17714/gumusfenbil.973990 |
| ISNAD | Bekiryazıcı, Zafer - Hasimoglu, Saime. "Comparison of a random model of Hand-Foot-Mouth Disease model with Gaussian and Laplacian parameters". Gümüşhane Üniversitesi Fen Bilimleri Dergisi 12/1 (2022), 200-210. https://doi.org/10.17714/gumusfenbil.973990 |
