Publications

Pengfei Song, Jianhong Wu, Yanni Xiao. Modelling the effect of human heterogeneity on infectious disease transmission dynamics. CSIAM Transaction on Life Science. 2024. Accepted.
Song P, Salako R B. Extinction of some strains and asymptotic profiles of coexistence endemic equilibria in a multi-strain epidemic model. Journal of Differential Equations, 2024, 398: 141-181.
Song, Pengfei, Xiao, Yanni, Wu, Jianhong. (2023). Discovering First Principle of Behavioural Change in Disease Transmission Dynamics by Deep Learning. In: David, J., Wu, J. (eds) Mathematics of Public Health. Fields Institute Communications, vol 88. Springer, Cham. https://doi.org/10.1007/978-3-031-40805-2_2
Song, Pengfei and Xiao, Yanni and Wu Jianhong. (2023) Methods coupling transmission models and deep learning. Preprint.
Lou, Yuan and Salako, R.B. and Song, Pengfei. (2023) Human mobility and disease prevalence. Journal of Mathematical Biology. 87, 20 (2023). https://doi.org/10.1007/s00285-023-01953-1.
Yin, Shuangshuang and Wu, Jianhong and Song Pengfei*. (2023) Analysis of a heterogeneous SEIRS patch model with asymmetric mobility kernel. Mathematical Biosciences and Engineering.
Yin, Shuangshuang and Wu, Jianhong and Song Pengfei*. (2023) Optimal epidemic control by deep learning techniques. Journal of Mathematical Biology. 10.1007/s00285-023-01873-0.
Song, Pengfei and Xiao, Yanni. (2022) Analysis of a diffusive epidemic system with spatial heterogeneity and lag effect of media impact. Journal of Mathematical Biology. https://doi.org/10.1007/s00285-022-01780-w.
Song, Pengfei and Xiao, Yanni. (2022) Estimating time-varying reproduction number by deep learning techniques. JAAC.
Shuang, Liu and Yuan, Lou and Pengfei Song*.(2022) A new monotonicity for principal eigenvalues with applications to time-periodic patch models. Siam on Applied Mathematics.
Zhang, Yunhu and Song, Pengfei*. (2021) Dynamics of the piecewise smooth epidemic model with nonlinear incidence. Chaos Soliton Fractals.
Jiang, Hui Song, Pengfei et.al. (2020) Quantitative assessment of the triage control and intervention measures of COVID-19 epidemic in Wuhan, China. BMC Infectious Disease.
Wang, Xia and Li, Qian et.al. (2021) Effects of medical resource capacities and intensities of public mitigation measures on outcomes of COVID-19 outbreaks. BMC Public Health.
Song, Pengfei Chen, Canyi Lou, Yuan Jiang, Hui Li, Weimin Zhu Lipin. (2020) Assessing Effectiveness of Integrated Strategies for Preventing and Controlling the Outbreak of COVID-19, and Predicting Impact of Opening Exit Channels to Leave Hubei Province. Chinese Journal of applied probability and statistics.
Song, Pengfei Lou, Yuan Jiang, Hui Li, Weimin Zhu Lipin. (2020) Multi-stage and Multi-Scale Patch Model and the Case Study of Novel Coronavirus. Chinese Journal of applied probability and statistics. Acta Mathematicae Applicae Sinica.
Song, Pengfei Lou, Yuan Xiao, Yanni. (2019). A spatial SEIRS reaction-diffusion model in heterogeneous environment. Journal of Differential Equations. https://doi.org/10.1016/j.jde.2019.05.022.
Song, Pengfei Xiao, Yanni. (2019). Analysis of an Epidemic System with Two Response Delays in Media Impact Function. Bulletin of Mathematical Biology. 81. 10.1007/s11538-019-00586-0.
Song, Pengfei Xiao, Yanni. (2017). Global hopf bifurcation of a delayed equation describing the lag effect of media impact on the spread of infectious disease. Journal of Mathematical Biology. 76. 10.1007/s00285-017-1173-y.