Citation: Li-Xiang Feng, Shuang-Lin Jing, Shi-Ke Hu, De-Fen Wang, Hai-Feng Huo. Modelling the effects of media coverage and quarantine on the COVID-19 infections in the UK[J]. Mathematical Biosciences and Engineering, 2020, 17(4): 3618-3636. doi: 10.3934/mbe.2020204
[1] | P. Zhou, X. L. Yang, X. G. Wang, B. Hu, L. Zhang, W. Zhang, et al., A pneumonia outbreak associated with a new coronavirus of probable bat origin, Nature, 579 (2020), 270-273. |
[2] | Q. Li, X. Guan, P. Wu, X. Wang, L. Zhou, Y. Tong, et al., Early transmission dynamics in Wuhan, China, of Noval Coronavirus-infected Pneumonia, N. Engl. J. Med., 382 (2020), 1199-1207. |
[3] | P. Wu, X. Hao, E. H. Y. Lau, J. Y. Wong, K. S. M. Leung, J. T. Wu, et al., Real-time tentative assessment of the epidemiological characteristics of novel coronavirus infections in Wuhan, China, as at 22 January 2020, Euro. Surveill., 25 (2020), 2000044. |
[4] | T. Chen, J. Rui, Q. Wang, Z. Zhao, J. Cui, L. Yin, A mathematical model for simulating the transmission of Wuhan novel Coronavirus, Infect. Dis. Poverty, 9 (2020), 1-8. |
[5] | M. W. Shen, Z. H. Peng, Y. N. Xiao, L. Zhang, Modelling the epidemic trend of the 2019 novel coronavirus outbreak in China, bioRxiv, (2020), 2020.01.23.916726. |
[6] | Q. Y. Lin, S. Zhao, D. Z. Gao, Y. J. Lou, S. Yang, S. S. Musa, et al., A conceptual model for the outbreak of Coronavirus disease 2019 (COVID-19) in Wuhan, China with individual reaction and governmental action, Int. J. Infect. Dis., 93 (2020), 211-216. |
[7] | L. L. Wang, Y. W. Zhou, J. He, B. Zhu, F. Wang, L. Tang, et al., An epidemiological forecast model and software assessing interventions on COVID-19 epidemic in China, medRxiv, (2020). |
[8] | S. Y. Tang, B. Tang, N. L. Bragazzi, F. Xia, T. J. Li, S. He, et al., Stochastic discrete epidemic modeling of COVID-19 transmission in the Province of Shaanxi incorporating public health intervention and case importation, medRxiv, (2020). |
[9] | X. F. Luo, S. S. Feng, J. Y. Yang, X. L. Peng, X. C. Cao, J. P. Zhang, et al., Analysis of potential risk of COVID-19 infections in China based on a pairwise epidemic model, (2020). doi:10.20944/preprints202002.0398.v1. |
[10] | H. Nishiura, N. M. Linton, A. R. Akhmetzhanov, Serial interval of novel coronavirus (2019-nCoV) infections, medRxiv, (2020). doi:10.1101/2020.02.03.20019497. |
[11] | Z. W. Du, X. K. Xu, Y. Wu, L. Wang, B. J. Cowling, L. A. Meyers, The serial interval of COVID-19 among publicly reported confirmed cases, medRxiv, (2020). doi:10.1101/2020.02.19.20025452. |
[12] | H. F. Huo, S. J. Dang, Y. N. Li, Stability of a Two-Strain Tuberculosis Model with General Contact Rate, Abstr. Appl. Anal., 2010 (2010), 1-31. |
[13] | H. F. Huo, L. X. Feng, Global stability for an HIV/AIDS epidemic Model with different latent stages and treatment, Appl. Math. Model., 37 (2013), 1480-1489. |
[14] | P. Shao, Y. G. Shan, Beware of asymptomatic transmission: Study on 2019-nCov preventtion and control measures based on SEIR model, BioRxiv, (2020). doi:10.1101/2020.01.28.923169. |
[15] | W. K. Zhou, A. L. Wang, F. Xia, Y. N. Xiao, S. Y. Tang, Effects of media reporting on mitigating spread of COVID-19 in the early phase of the outbreak, Math. Biosci. Eng., 17 (2020), 2693-2707. |
[16] | J. Amador, A. Gomez-Corral, A stochastic epidemic model with two quarantine states and limited carrying capacity for quarantine, Physica A, 544 (2020), 121899. |
[17] | Q. W. Gao, J. Zhuang, Stability analysis and control strategies for worm attack in mobile networks via a VEIQS propagation model, Appl. Math. Comput., 368 (2020), 124584. |
[18] | P. Van den Driessche, J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci., 180 (2002), 29-48. |
[19] | J. P. LaSalle, The stability of dynamical systems, Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1976. |
[20] | H. Haario, E. Saksman, J. Tamminen, An adaptive metropolis algorithm, Bernoulli, 7 (2001), 223-242. |
[21] | H. Haario, M. Laine, A. Mira, E. Saksman, DRAM: efficient adaptive MCMC, Stat. Comput., 16 (2006), 339-354. |
[22] | D. Gamerman, H. F. Lopes, Markov chain Monte Carlo: stochastic simulation for Bayesian inference, Technometrics, 50 (2008), 97. |
[23] | W. J. Guan, Z. Y. Ni, Y. Hu, W. H. Liang, C. Q. Ou, J. X. He, et al., Clinical Characteristics of Coronavirus Disease 2019 in China, New Engl. J. Med., 382 (2020), 1708-1720. |
[24] | B. Tang, X. Wang, Q. Li, N. L. Bragazzi, S. Y. Tang, Y. N. Xiao, et al., Estimation of the transmission risk of 2019-nCov and its implication for public health interventions, J. Clin. Med., 9 (2020), 462. |
[25] | World Health Organization, Coronavirus disease (COVID-2019) situation reports, 2020. Available from: https://www.who.int/emergencies/diseases/novel-coronavirus-2019/situation-reports/. |
[26] | World Health Organization, Statistics of United Kingdom. Available from: https://www.who.int/countries/gbr/en/. |