5 papers
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…
Mode-Wise Spectral Criteria for Coupled Mass Transport in Hybrid PDE--ODE Tumor Microenvironments
Jiguang Yu, Louis Shuo Wang, Zonghao Liu +1
We study coupled mass transport in a tumor--microenvironment setting with two motile densities and non-motile state switching . The populations diffuse and undergo c…
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…
A hybrid PDE-ABM model for angiogenesis and tumour microenvironment with application to resistance in cancer treatment
Louis Shuo Wang, Jiguang Yu, Zonghao Liu
The main obstacle to effective cancer treatment is the development of drug resistance, which can be divided into two categories: spontaneous and acquired drug resistance. Non-small…
Well-Posedness for the Rosenzweig-MacArthur Model with Internal Stochasticity
Louis Shuo Wang, Jiguang Yu
In this work, we propose a stochastic version of the Rosenzweig-MacArthur model solely driven by internal demographic noise, extending classical Lotka-Volterra-type systems focused…