A Stochastic Compartmental Model of Suicide Risk Dynamics in U.S. Veterans (2508.18553v1)

Abstract: We present a stochastic differential equation model of suicidal progression in U.S. veterans, simulating transitions across mental health states under dynamic stress and covariate influence. Transition rates are modulated by an Ornstein-Uhlenbeck stress process and clinical features derived from retrospective case-control data. Simulations reveal profile-dependent tipping behavior, with risk-loaded individuals exhibiting persistent ideation and attempt states. Area-under-the-curve and phase plane analyses suggest early warning signals and support the use of individualized dynamical models for suicide risk assessment.