71 citations · 328 across the 17 of their papers we have counts for
3 papers · 1 filter
Dynamics of a Mathematical Hematopoietic Stem-Cell Population Model
Daniel C. De Souza, Antony R. Humphries
We explore the bifurcations and dynamics of a scalar differential equation with a single constant delay which models the population of human hematopoietic stem cells in the bone ma…
Transit and lifespan in neutrophil production: implications for drug intervention
Daniel Camara De Souza, Morgan Craig, Tyler Cassidy +4
We compare and contrast the transit compartment ordinary differential equation modelling approach with distributed and discrete delay differential equation models. We focus on Quar…
Generalised Lyapunov-Razumikhin techniques for scalar state-dependent delay differential equations
F. M. G. Magpantay, A. R. Humphries
We present generalised Lyapunov-Razumikhin techniques for establishing global asymptotic stability of steady-state solutions of scalar delay differential equations. When global asy…