51 citations · 89 across the 6 of their papers we have counts for
7 papers
Stochastic Resonance in Climate Reddening Increases the Risk of Cyclic Ecosystem Extinction via Phase-tipping
Hassan Alkhayuon, Jessa Marley, Sebastian Wieczorek +1
Human activity is leading to changes in the mean and variability of climatic parameters in most locations around the world. The changing mean has received considerable attention fr…
Structural sensitivity in the functional responses of predator-prey models
Sarah K. Wyse, Maria M. Martignoni, May Anne Mata +2
In mathematical modeling, several different functional forms can often be used to fit a data set equally well, especially if the data is sparse. In such cases, these mathematically…
Phase tipping: How cyclic ecosystems respond to contemporary climate
Hassan Alkhayuon, Rebecca C. Tyson, Sebastian Wieczorek
We identify the phase of a cycle as a new critical factor for tipping points (critical transitions) in cyclic systems subject to time-varying external conditions. As an example, we…
The Effects of Climate Change on Predator-Prey Dynamics
Sylvain Gretchko, Jessa Marley, Rebecca C. Tyson
In this investigation we study the effects of climate change on predator-prey population dynamics. The interaction of predator and prey is described by the Variable Territory (VT)…
Spatial Opinion Dynamics and the Effects of Two Types of Mixing
Bert O. Baumgaertner, Peter A. Fetros, Rebecca C. Tyson +1
Spatially-situated opinions that can be held with different degrees of conviction lead to spatio-temporal patterns such as clustering (homophily), polarization, and deadlock. Our g…
The roles of direct and environmental transmission in stochastic avian flu epidemic recurrence
May Anne E. Mata, Priscilla E. Greenwood, Rebecca C. Tyson
We present an analysis of an avian flu model that yields insight into the role of different transmission routes in the recurrence of avian influenza epidemics. Recent modelling wor…
Voter Models and External Influence
Jimit Majmudar, Stephen M. Krone, Bert O. Baumgaertner +1
In this paper, we extend the voter model (VM) and the threshold voter model (TVM) to include external influences modelled as a jump process. We study the newly-formulated models bo…