3 papers
math.PR2026
Modeling Transmission Intensity in SI Epidemics via CIR and Jacobi Processes: Asymptotic Results and Preliminary Intervention Strategies
Duvan Cataño, Raul Morán, Leon A. Valencia
This paper introduces a way of modeling the epidemic transmission rate using a stochastic process of the form , where the positive deterministic function…
q-bio.PE2025
Persistence and extinction dynamics in a stochastic predator-prey model with emergent Allee effects
Carlos Granados, Leon A. Valencia
The Allee effect describes a decline in population fitness at low densities, potentially leading to extinction. In predator-prey systems, an emergent Allee effect can arise due to…
q-bio.PE2024
The Stochastic Gause predator-prey model: noise-induced extinctions and invariance
Leon Alexander Valencia, Ph. D, Jorge Mario Ramirez Osorio +1
This paper explores a stochastic Gause predator-prey model with bounded or sub-linear functional response. The model, described by a system of stochastic differential equations, ca…