16 papers
Rigorous Analysis of a Nonlocal Transport--Renewal System for Physiologically Structured Populations
Jiguang Yu, Louis Shuo Wang, Ye Liang
We develop a rigorous analytical framework for a class of physiologically structured population models with two internal state variables, nonlocal ecological feedbacks, dynamic res…
Computational Oncology of Chemotaxis-Driven Tumour--Immune Spatial Patterning and Stability
Zonghao Liu, Jiguang Yu, Lei Su +3
We develop a reaction--diffusion--chemotaxis model for spatial tumour--immune--chemokine dynamics that couples logistic tumour growth, immune-mediated killing, chemokine-dependent…
Bilinear control of age--space structured populations
Jiguang Yu, Louis Shuo Wang, Ye Liang
We study constrained bilinear optimal control for nonlocal age--space structured population equations with renewal boundary conditions and endogenous surveillance feedback. The con…
Reflected Optimal Stopping with a Max-Type Payoff: Measure-Valued Stopping Gains and Killed Resolvent Representation
Ye Liang
We study an infinite-horizon optimal stopping problem for a two-dimensional normally reflected diffusion in the quadrant with payoff \(G(x_1,x_2)=x_1\vee αx_2\). The problem combin…
Multiplier Sensitivity in Isoperimetric Optimal Control
Ye Liang
We study finite-horizon optimal control problems with scalar isoperimetric constraints from a function-space duality perspective. Controls are treated as elements of weakly compact…
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…
A Measure-Valued Obstacle Problem for an Obliquely Reflected Diffusion with a Max-Type Payoff
Louis Shuo Wang, Jiguang Yu, Ye Liang
We study an obliquely reflected optimal stopping problem in the nonnegative quadrant with nonsmooth max-type payoff \(G(x)=x_1\veeαx_2\), and we develop a measure-valued potential-…
Time and Killed Resolvents in Reflected Optimal Stopping with a Max Payoff
Louis Shuo Wang, Ye Liang
We study infinite-horizon optimal stopping for normally reflected two-dimensional diffusions in the positive quadrant with max payoff \(G(x_1,x_2)=x_1\veeαx_2\). The non-smooth pay…
Killed resolvents and measure-valued stopping gains for reflected optimal stopping with max-type rewards
Louis Shuo Wang, Jiguang Yu, Ye Liang
We study an infinite-horizon optimal stopping problem for a normally reflected two-dimensional diffusion in the positive quadrant with nonsmooth max-type reward \(G(x_1,x_2)=x_1\ve…
Spectral perturbation theory for wall-admittance effects on compressible boundary-layer instability
Jiguang Yu, Louis Shuo Wang, Ye Liang
Thin wall treatments modify high-speed boundary-layer instability through the pressure they admit or absorb at the wall. This paper develops a unified admittance formulation for su…
Elliptic criticality versus Volterra memory in indirect chemotaxis cascades
Louis Shuo Wang
Indirect signal production is often treated as a higher-order variant of classical Keller-Segel chemotaxis, but its critical structure depends strongly on how the signal cascade is…
Size-Selective Threshold Harvesting under Nonlocal Crowding and Exogenous Recruitment
Jiguang Yu, Louis Shuo Wang, Ye Liang
We propose a nonlinear size-structured fishery model for externally recruited stocks under size-selective harvesting. The population density satisfies a McKendrick--von Foerster tr…
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…
Age-Structured Harvesting Models: A Structural Comparison of Rate-Control and Effort-Control Optimality Systems
Jiguang Yu, Louis Shuo Wang, Ye Liang
We study optimal harvesting in continuous-time, age-structured population models of McKendrick--von Foerster type, and we compare two harvesting mechanisms. In the \emph{rate-contr…
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…