wwang-math.r-universe.dev

[wwang-math] seairmobility 0.1.0

ww@ou.edu (Weinan Wang) — Tue, 28 Apr 2026 20:46:35 GMT

Tools for simulating, analysing, and fitting mobility-based SEAIR (Susceptible-Exposed-Asymptomatic-Infectious-Recovered) compartmental epidemic models with heterogeneous individual mobility. Each individual carries a fixed mobility trait that scales susceptibility and infectiousness through a rank-one kernel, extending the mobility-based compartmental framework of Jiang et al. (2025) by adding a latent stage and a behavioural split between asymptomatic and symptomatic infectiousness. Provides a numerical solver for the underlying partial differential equation system, closed-form computation of the basic reproduction number R0 and the final epidemic size, and a parametric least-squares routine for recovering the mobility distribution from an observed aggregate symptomatic time series.

[wwang-math] npfseir 0.2.1

ww@ou.edu (Weinan Wang) — Fri, 24 Apr 2026 20:05:00 GMT

Implements the online Bayesian inference framework for joint state and parameter estimation in a stochastic Susceptible-Exposed-Infectious-Recovered (SEIR) epidemic model with a time-varying transmission rate. The log-transmission rate is modelled as a latent Ornstein-Uhlenbeck (OU) process with exact Gaussian discrete-time transitions. Inference is performed via the nested particle filter (NPF) of Crisan and Miguez (2018) , which maintains an outer particle layer over the OU hyperparameters and, for each outer particle, an inner bootstrap filter over epidemic states. The Cori-style renewal-equation estimator follows Cori et al. (2013) . The package also provides utilities for simulation, posterior summarisation, and forecasting.

[wwang-math] seirMFG 0.1.0

ww@ou.edu (Weinan Wang) — Thu, 09 Apr 2026 09:44:10 GMT

Implements the forward-backward sweep algorithm for computing Nash equilibrium contact policies in SEIR epidemic mean-field games on heterogeneous contact networks, as described in Wang (2026) . Supports both heterogeneous networks with arbitrary degree distributions (e.g., truncated Poisson) and homogeneous networks. Computes equilibrium susceptible contact effort, value functions, epidemic trajectories, and the effective reproduction number Rt.