4 citations · 6 across the 8 of their papers we have counts for
9 papers
Beyond species area curves: a theoretical approach to the relationship between diversity and area
Hwai-Ray Tung, Simon A Levin
Species area curves, which describe the number of species present as a function of area, have long been used to understand biodiversity and inform conservation efforts. While under…
Search at bounded speed with immigration
Hwai-Ray Tung, Sean D Lawley
Many biophysical search processes employ searchers which enter or "immigrate" into the domain progressively over time. Existing search time estimates can become unphysical for fast…
Stochastic search with space-dependent diffusivity
Hwai-Ray Tung, Sean D Lawley
The canonical model of stochastic search tracks a randomly diffusing "searcher" until it finds a "target." Owing to its many applications across science and engineering, this peren…
Escape from heterogeneous diffusion
Hwai-Ray Tung, Sean D Lawley
Many physical processes depend on the time it takes a diffusing particle to find a target. Though this classical quantity is now well-understood in various scenarios, little is kno…
Passage times of fast inhomogeneous immigration processes
Hwai-Ray Tung, Sean D Lawley
In many biophysical systems, key events are triggered when the fastest of many random searchers find a target. Most mathematical models of such systems assume that all searchers ar…
First passage times with fast immigration
Hwai-Ray Tung, Sean D Lawley
Many scientific questions can be framed as asking for a first passage time (FPT), which generically describes the time it takes a random "searcher" to find a "target." The importan…
Competitive exclusion in a model with seasonality: three species cannot coexist in an ecosystem with two seasons
Hwai-Ray Tung, Rick Durrett
Chan, Durrett, and Lanchier introduced a multitype contact process with temporal heterogeneity involving two species competing for space on the d-dimensional integer lattice. Time…
Controlling the spread of COVID-19 on college campuses
Molly Borowiak, Fayfay Ning, Justin Pei +3
This research was done during the DOMath program at Duke University from May 18 to July 10, 2020. At the time, Duke and other universities across the country were wrestling with th…
Precluding Oscillations in Michaelis-Menten Approximations of Dual-site Phosphorylation Systems
H. Tung
Oscillations play a major role in a number of biological systems, from predator-prey models of ecology to circadian clocks. In this paper we focus on the question of whether oscill…