213 citations · 496 across the 24 of their papers we have counts for
6 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…
Occupancy times for time-dependent stage-structured models
George Chappelle, Alan Hastings, Martin Rasmussen
During their lifetimes, individuals in populations pass through different states, and the notion of an occupancy time describes the amount of time an individual spends in a given s…
Synchronization within synchronization: transients and intermittency in ecological networks
Huawei Fan, Ling-Wei Kong, Xingang Wang +2
Transients are fundamental to ecological systems with significant implications to management, conservation, and biological control. We uncover a type of transient synchronization b…
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…
Dynamical Ising model of spatially-coupled ecological oscillators
Vahini Reddy Nareddy, Jonathan Machta, Karen C Abbott +2
Long-range synchrony from short-range interactions is a familiar pattern in biological and physical systems, many of which share a common set of ``universal'' properties at the poi…
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…