Building mean field ODE models using the generalized linear chain trick & Markov chain theory

Dynamics of COVID-19 under social distancing measures are driven by transmission network structure

(2021) Anjalika Nande et al.   PLoS Computational Biology

The challenges of modeling and forecasting the spread of COVID-19

(2020) Andrea L. Bertozzi et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Predicting the second wave of COVID-19 in Washtenaw County, MI

(2020) Marissa Renardy et al.   JOURNAL OF THEORETICAL BIOLOGY

Phase-type distributions in population genetics

(2019) Asger Hobolth et al.   THEORETICAL POPULATION BIOLOGY

Generalizations of the ‘Linear Chain Trick’: incorporating more flexible dwell time distributions into mean field ODE models

(2019) Paul J. Hurtado et al.   JOURNAL OF MATHEMATICAL BIOLOGY

A matter of maturity: To delay or not to delay? Continuous-time compartmental models of structured populations in the literature 2000-2016

(2018) Suzanne L. Robertson et al.   NATURAL RESOURCE MODELING

Elementary proof of convergence to the mean-field model for the SIR process

(2016) Benjamin Armbruster et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Mathematical models of Ebola—Consequences of underlying assumptions

(2016) Zhilan Feng et al.   MATHEMATICAL BIOSCIENCES

Effects of the infectious period distribution on predicted transitions in childhood disease dynamics

(2013) O. Krylova et al.   Journal of the Royal Society Interface

A derivation of Holling's type I, II and III functional responses in predator–prey systems

(2013) J.H.P. Dawes et al.   JOURNAL OF THEORETICAL BIOLOGY

Cluster-based fitting of phase-type distributions to empirical data

(2012) Philipp Reinecke et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

On the accuracy of phase-type approximations of heavy-tailed risk models

(2012) E. Vatamidou et al.   Scandinavian Actuarial Journal

Modeling hospital length of stay by Coxian phase-type regression with heterogeneity

(2012) Xiaoqin Tang et al.   STATISTICS IN MEDICINE

Experimenting with the Coxian Phase-Type Distribution to Uncover Suitable Fits

(2010) Adele H. Marshall et al.   METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY

Bayesian estimation of finite time ruin probabilities

(2009) M. Concepcion Ausin et al.   APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY

Mathematical Model Creation for Cancer Chemo-Immunotherapy

(2009) Lisette de Pillis et al.   Computational and Mathematical Methods in Medicine

A fully Bayesian approach to inference for Coxian phase-type distributions with covariate dependent mean

(2009) C.A. McGrory et al.   COMPUTATIONAL STATISTICS & DATA ANALYSIS

The Effects of Harvesting and Time Delay on Predator-prey Systems with Holling Type II Functional Response

(2009) Jing Xia et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

Gamma shape mixtures for heavy-tailed distributions

(2008) Sergio Venturini et al.   Annals of Applied Statistics