213 citations · 496 across the 24 of their papers we have counts for
4 papers · 1 filter
A Low-Dimensional Network Model for an SIS Epidemic: Analysis of the Super Compact Pairwise Model
Carl Corcoran, Alan Hastings
Network-based models of epidemic spread have become increasingly popular in recent decades. Despite a rich foundation of such models, few low-dimensional systems for modeling SIS-t…
The Role of Stochasticity in Noise-Induced Tipping Point Cascades: A Master Equation Approach
Abhishek Mallela, Alan Hastings
Tipping points have been shown to be ubiquitous, both in models and empirically in a range of physical and biological systems. The question of how tipping points cascade through sy…
Multiple attractors and long transients in spatially structured populations with an Allee effect
Irina Vortkamp, Sebastian J. Schreiber, Alan Hastings +1
We present a discrete-time model of a spatially structured population and explore the effects of coupling when the local dynamics contain a strong Allee effect and overcompensation…
Transit times and mean ages for nonautonomous and autonomous compartmental systems
Martin Rasmussen, Alan Hastings, Matthew J. Smith +8
We develop a theory for transit times and mean ages for nonautonomous compartmental systems. Using the McKendrick-von Förster equation, we show that the mean ages of mass in a comp…