59 citations · 64 across the 4 of their papers we have counts for
7 papers
Pathogen evolution: slow and steady spreads the best
Todd Parsons, Amaury Lambert, Troy Day +1
The theory of life history evolution provides a powerful framework to understand the evolutionary dynamics of pathogens in both epidemic and endemic situations. This framework, how…
Invasion probabilities, hitting times, and some fluctuation theory for the stochastic logistic process
Todd L. Parsons
We consider excursions for a class of stochastic processes describing a population of discrete individuals experiencing density-limited growth, such that the population has a finit…
Evolutionary consequences of behavioral diversity
Alexander J. Stewart, Todd L. Parsons, Joshua B. Plotkin
Iterated games provide a framework to describe social interactions among groups of individuals. Recent work stimulated by the discovery of "zero-determinant" strategies has rapidly…
Integrating Theory and Experiment to Explain the Breakdown of Population Synchrony in a Complex Microbial Community
Emma J. Bowen, Todd L. Parsons, Thomas P. Curtis +2
We consider the extension of the `Moran effect', where correlated noise generates synchrony between isolated single species populations, to the study of synchrony between populatio…
Dimension reduction for stochastic dynamical systems forced onto a manifold by large drift: a constructive approach with examples from theoretical biology
Todd L. Parsons, Tim Rogers
Systems composed of large numbers of interacting agents often admit an effective coarse-grained description in terms of a multidimensional stochastic dynamical system, driven by sm…
Linking statistical and ecological theory: Hubbell's unified neutral theory of biodiversity as a hierarchical Dirichlet process
Keith Harris, Todd L Parsons, Umer Z Ijaz +3
Neutral models which assume ecological equivalence between species provide null models for community assembly. In Hubbell's Unified Neutral Theory of Biodiversity (UNTB), many loca…
Limit Theorems for Competitive Density Dependent Population Processes
Todd L. Parsons
Near the beginning of the century, Wright and Fisher devised an elegant, mathematically tractable model of gene reproduction and replacement that laid the foundation for contempora…