107 citations · 141 across the 4 of their papers we have counts for
4 papers
Time Is Of The Essence: Incorporating Phase-Type Distributed Delays And Dwell Times Into ODE Models
Paul J. Hurtado, Cameron Richards
Ordinary differential equations (ODE) models have a wide variety of applications in the fields of mathematics, statistics, and the sciences. Though they are widely used, these mode…
Finding Reproduction Numbers for Epidemic Models & Predator-Prey Models of Arbitrary Finite Dimension Using The Generalized Linear Chain Trick
Paul J. Hurtado, Cameron Richards
Reproduction numbers, like the basic reproduction number , play an important role in the analysis and application of dynamic models, including contagion models and e…
Building Mean Field State Transition Models Using The Generalized Linear Chain Trick and Continuous Time Markov Chain Theory
Paul J. Hurtado, Cameron Richards
The well-known Linear Chain Trick (LCT) allows modelers to derive mean field ODEs that assume gamma (Erlang) distributed passage times, by transitioning individuals sequentially th…
Generalizations of the 'Linear Chain Trick': Incorporating more flexible dwell time distributions into mean field ODE models
Paul J. Hurtado, Adam S. Kirosingh
Mathematical modelers have long known of a "rule of thumb" referred to as the Linear Chain Trick (LCT; aka the Gamma Chain Trick): a technique used to construct mean field ODE mode…