#Modeling and #Analysis of SIRR Model (#Ebola #Transmission Dynamics Model) with Delay Differential Equation
Abstract Background Ebola virus disease (EVD) is a severe and often fatal illness with high transmission potential and recurring outbreaks . Traditional compartmental models often neglect biologically important delays , such as the latent period before an infected individual becomes infectious, limiting their ability to capture real-world epidemic patterns. Including such delays can provide a more accurate understanding of outbreak persistence and control strategies. Methods In this study, we develop and analyze a novel deterministic SIRR model that captures the complex transmission dynamics of Ebola by explicitly combining nonlinear incidence rates with a delay differential equation framework . Unlike traditional models, this approach integrates a biologically motivated delay to represent the latent period before infectiousness, providing a more realistic depiction of disease spread. The basic reproduction number (R0) is derived using the next-generation matrix, and local stabil...