Mathematical analysis of a delayed SEIRDS epidemics models: deterministic and stochastic approach
Abstract
The primary goal of this research is to investigate the impact of delay on the dynamics of the Susceptible-Exposed-Infected-Recovered-Death and Susceptible (SEIRDS) model, to which we add a stochastic term to account for uncertainty in COVID-19 parameter estimations. We run two models, one deterministic and one stochastic, and show that their solutions exist and are unique. We also numerically investigate the impact of immunity loss on the emerging time of a new wave, as well as the necessary condition for the extinction and persistence of the disease.
Fields of Study & Subjects
COVID-19 epidemiological studies
Mathematical and Theoretical Epidemiology and Ecology Models
Mathematical Biology Tumor Growth
Publication details
- Journal / source
- Stochastics
- Publisher
- Informa UK Limited
- Pages
- 1–27
- Publication date
- 22 May 2026
- Language
- EN