Prediction of the COVID-19 outbreak based on a realistic stochastic model
暂无分享,去创建一个
Jiarui Sun | Yuan Zhang | Chong You | Wenjie Hu | Xiao-Hua Zhou | Chong You | Wenjie Hu | Jiarui Sun | Zhenghao Cai | Zhenghao Cai | Yu-an Zhang | Xiaohua Zhou
[1] W. O. Kermack,et al. A contribution to the mathematical theory of epidemics , 1927 .
[2] Andrew D. Barbour. The principle of the diffusion of arbitrary constants , 1972 .
[3] Liangrong Peng,et al. Epidemic analysis of COVID-19 in China by dynamical modeling , 2020, medRxiv.
[4] Roger Pettersson,et al. A stochastic SIRS epidemic model incorporating media coverage and driven by Lévy noise , 2017 .
[5] T. Kurtz. Limit theorems for sequences of jump Markov processes approximating ordinary differential processes , 1971, Journal of Applied Probability.
[6] L. Yang,et al. Preliminary estimation of the basic reproduction number of novel coronavirus (2019-nCoV) in China, from 2019 to 2020: A data-driven analysis in the early phase of the outbreak , 2020, bioRxiv.
[7] Tao Liu,et al. Time-varying transmission dynamics of Novel Coronavirus Pneumonia in China , 2020, medRxiv.
[8] Alexander Grey,et al. The Mathematical Theory of Infectious Diseases and Its Applications , 1977 .
[9] T. Liggett. Interacting Particle Systems , 1985 .
[10] J. Zabczyk,et al. Stochastic Equations in Infinite Dimensions , 2008 .
[11] Stéphan Clémençon,et al. A stochastic SIR model with contact-tracing: large population limits and statistical inference , 2008, Journal of biological dynamics.
[12] Kieran J Sharkey,et al. The relationships between message passing, pairwise, Kermack–McKendrick and stochastic SIR epidemic models , 2016, Journal of mathematical biology.
[13] Jianhong Wu,et al. Estimation of the Transmission Risk of the 2019-nCoV and Its Implication for Public Health Interventions , 2020, Journal of clinical medicine.
[14] Ke Wang,et al. Stochastic SIR model with jumps , 2013, Appl. Math. Lett..
[15] Dao Nguyen,et al. Statistical Inference for Partially Observed Markov Processes via the R Package pomp , 2015, 1509.00503.
[16] W. Liang,et al. Modified SEIR and AI prediction of the epidemics trend of COVID-19 in China under public health interventions , 2020, Journal of thoracic disease.
[17] R. Durrett. Lecture notes on particle systems and percolation , 1988 .
[18] Mikko Alava,et al. Branching Processes , 2009, Encyclopedia of Complexity and Systems Science.
[19] N. Ling. The Mathematical Theory of Infectious Diseases and its applications , 1978 .
[20] Edward L. Ionides,et al. Statistical Inference for Partially Observed Markov Processes , 2015 .
[21] Daqing Jiang,et al. Threshold behaviour of a stochastic SIR model , 2014 .
[22] T. Kurtz. Solutions of ordinary differential equations as limits of pure jump markov processes , 1970, Journal of Applied Probability.
[23] J. Rocklöv,et al. The reproductive number of COVID-19 is higher compared to SARS coronavirus , 2020, Journal of travel medicine.
[24] Alessandro Vespignani,et al. Multiscale mobility networks and the spatial spreading of infectious diseases , 2009, Proceedings of the National Academy of Sciences.
[25] G. Leung,et al. Nowcasting and forecasting the potential domestic and international spread of the 2019-nCoV outbreak originating in Wuhan, China: a modelling study , 2020, The Lancet.
[26] L. Yang,et al. Preliminary estimation of the basic reproduction number of novel coronavirus (2019-nCoV) in China, from 2019 to 2020: A data-driven analysis in the early phase of the outbreak , 2020, International Journal of Infectious Diseases.
[27] Jessica T Davis,et al. The effect of travel restrictions on the spread of the 2019 novel coronavirus (COVID-19) outbreak , 2020, Science.
[28] C. Pang,et al. Estimation of the time-varying reproduction number of COVID-19 outbreak in China , 2020, International Journal of Hygiene and Environmental Health.
[29] M. Manhart,et al. Markov Processes , 2018, Introduction to Stochastic Processes and Simulation.
[30] Marc Chadeau-Hyam,et al. R2GUESS: A Graphics Processing Unit-Based R Package for Bayesian Variable Selection Regression of Multivariate Responses. , 2016, Journal of statistical software.
[31] David G Kendall,et al. Deterministic and Stochastic Epidemics in Closed Populations , 1956 .