5 papers
Delay-Penalty Comparison for Sequential Testing and Quickest Detection in State-Dependent Diffusion Models
Ye Liang
We study sequential testing and Bayesian quickest detection for diffusion observations whose drift changes between two alternatives while the signal-to-noise ratio may depend on th…
Size-Selective Threshold Harvesting under Nonlocal Crowding and Exogenous Recruitment
Jiguang Yu, Louis Shuo Wang, Ye Liang
In this paper, we formulate and analyze an original infinite-horizon bioeconomic optimal control problem for a nonlinear, size-structured fish population. Departing from standard e…
The Geometry of Quasi-Cycles: How Stoichiometric Covariance Alters Pre-Bifurcation Signatures
Louis Shuo Wang, Jiguang Yu, Ye Liang +1
Environmental enrichment can destabilize predator--prey coexistence through a Hopf bifurcation, yet real ecosystems are finite and intrinsically stochastic. We investigate how mech…
Full-Covariance Chemical Langevin Predator--Prey Diffusion with Absorbing Boundaries
Jiguang Yu, Louis Shuo Wang, Yuansheng Gao +1
Many stochastic Rosenzweig--MacArthur predator--prey models inject ad hoc independent (diagonal) noise and therefore cannot encode the event-level coupling created by predation and…
Dedifferentiation stabilizes stem cell lineages: From CTMC to diffusion theory and thresholds
Jiguang Yu, Louis Shuo Wang, Ye Liang
We study stem-terminally differentiated (TD) lineages in small niches where demographic noise from discrete division and death events is non-negligible. Starting from a mechanistic…