2022/03/22 by Abdelmalik Moujahid, Moujahid, Abdelmalik, Fernando Vadillo +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #Evolution and Genetic Dynamics #FOS: Mathematics #FOS: Physical sciences #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models
paper · pdf · doi:10.48550/arxiv.2203.13192
openalex publication_date 2022/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Mathematical modeling based on time-delay differential equations is an important tool to study the role of delay in biological systems and to evaluate its impact on the asymptotic behavior of their dynamics. Delays are indeed found in many biological, physical, and engineering systems and are a consequence of the limited speed at which physiological, chemical, or biological processes are transmitted from one place to another. Since real biological systems are always subject to perturbations that are not fully understood or cannot be explicitly modeled, stochastic delay differential systems (SDDEs) provide a more realistic approximation to these models. In this work, we study the predator-prey system considering three time delay models: one deterministic and two types of stochastic models. Our numerical results show relevant differences in their respective asymptotic behaviors.