3 papers
math.DS2026
Delay-induced dynamics in a nonlinear crime interaction model with periodic forcing
Pablo Amster, Andrés Rivera, Sebastián Pedersen
A nonlinear time-delay model is proposed to describe the interaction dynamics between criminal and non-criminal populations, combining social influence mechanisms, saturation effec…
math.DS2025
Periodic solutions in a tumor-immune competition system with time-delay and chemotherapy effects
Pablo Amster, Andrés Rivera, John A. Arredondo
The main purpose of this paper is to analyze the dynamics of the system of time-delay differential equations (DDEs) \begin{equation*} \begin{split} \dot{T}(t)&=T(t) f(t,T(t))-γE(t…
q-bio.PE2024
Persistence/extinction scenarios in an almost periodic metapopulation with competition and habitat destruction
Pablo Amster, Gonzalo Robledo, Daniel Sepúlveda
We study an almost periodic version of a metapopulation model developed by Tilman \textit{et.al} and Nee \textit{et.al} in the nineties, which generalizes the classical Levins appr…