128 citations · 701 across the 31 of their papers we have counts for
31 papers
Pattern Formation in Mesic Savannas
Denis D. Patterson, Simon A. Levin, A. Carla Staver +1
We analyze a spatially extended version of a well-known model of forest-savanna dynamics, which presents as a system of nonlinear partial integro-differential equations, and study…
Spatial Dynamics with Heterogeneity
Denis D. Patterson, Simon A. Levin, A. Carla Staver +1
Spatial systems with heterogeneities are ubiquitous in nature, from precipitation, temperature and soil gradients controlling vegetation growth to morphogen gradients controlling g…
Fundamental Bound on Epidemic Overshoot in the SIR Model
Maximilian Nguyen, Ari Freedman, Sinan Ozbay +1
We derive an exact upper bound on the epidemic overshoot for the Kermack-McKendrick SIR model. This maximal overshoot value of 0.2984... occurs at = 2.151... . In consideri…
Spreading Processes with Mutations over Multi-layer Networks
Mansi Sood, Anirudh Sridhar, Rashad Eletreby +4
A key scientific challenge during the outbreak of novel infectious diseases is to predict how the course of the epidemic changes under different countermeasures that limit interact…
Cascading Failures in Power Grids
Rounak Meyur
This paper studies the consequences of a human-initiated targeted attack on the national electric power system. We consider two kinds of attacks: () an attack by an adversary th…
Evolutionary Dynamics Within and Among Competing Groups
Daniel B. Cooney, Simon A. Levin, Yoichiro Mori +1
Biological and social systems are structured at multiple scales, and the incentives of individuals who interact in a group may diverge from the collective incentive of the group as…