DOAJ Open Access 2023

On the extinction of stochastic Susceptible-Infected-Susceptible epidemic with distributed delays

Islam M Elbaz MA Sohaly H El-Metwally

Abstrak

In this paper, we study a stochastic SIS epidemic model with distributed delays. The positiveness of the solutions is established. We obtain sufficient conditions for the extinction of the disease through the study of stochastic stability of the disease-free equilibrium and stability of the same equilibrium in the mean. Compared to many works on the deterministic and stochastic SIS models and their stability, the distributed delays involved in the model offer new conditions with much more boundedness on the rate of losing immunity. The disease is extinct for small and large enough values of the intensity of noise and regardless of the initial history functions and the magnitude of the basic reproductive number R 0 .

Topik & Kata Kunci

Control engineering systems. Automatic machinery (General) Acoustics. Sound

Penulis (3)

Islam M Elbaz

MA Sohaly

H El-Metwally

Format Sitasi

APA MLA BibTeX

Elbaz, I.M., Sohaly, M., El-Metwally, H. (2023). On the extinction of stochastic Susceptible-Infected-Susceptible epidemic with distributed delays. https://doi.org/10.1177/14613484231181956

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.1177/14613484231181956
Akses: Open Access ✓