tetano
Editor, Senior Moderator
Comput Methods Biomech Biomed Engin
. 2022 May 2;1-14.
doi: 10.1080/10255842.2022.2065631. Online ahead of print.
Extinction and persistence of a stochastic delayed Covid-19 epidemic model
Amir Khan[SUP] 1 2 [/SUP], Rukhsar Ikram[SUP] 3 [/SUP], Anwar Saeed[SUP] 4 [/SUP], Mostafa Zahri[SUP] 5 [/SUP], Taza Gul[SUP] 6 [/SUP], Usa Wannasingha Humphries[SUP] 1 [/SUP]
Affiliations
Abstract
We formulated a Coronavirus (COVID-19) delay epidemic model with random perturbations, consisting of three different classes, namely the susceptible population, the infectious population, and the quarantine population. We studied the proposed problem to derive at least one unique solution in the positive feasweible region of the non-local solution. Sufficient conditions for the extinction and persistence of the proposed model are established. Our results show that the influence of Brownian motion and noise on the transmission of the epidemic is very large. We use the first-order stochastic Milstein scheme, taking into account the required delay of infected individuals.
Keywords: Stochastic model; brownian motion; extinction; stationary distribution; time delay.
. 2022 May 2;1-14.
doi: 10.1080/10255842.2022.2065631. Online ahead of print.
Extinction and persistence of a stochastic delayed Covid-19 epidemic model
Amir Khan[SUP] 1 2 [/SUP], Rukhsar Ikram[SUP] 3 [/SUP], Anwar Saeed[SUP] 4 [/SUP], Mostafa Zahri[SUP] 5 [/SUP], Taza Gul[SUP] 6 [/SUP], Usa Wannasingha Humphries[SUP] 1 [/SUP]
Affiliations
- PMID: 35499952
- DOI: 10.1080/10255842.2022.2065631
Abstract
We formulated a Coronavirus (COVID-19) delay epidemic model with random perturbations, consisting of three different classes, namely the susceptible population, the infectious population, and the quarantine population. We studied the proposed problem to derive at least one unique solution in the positive feasweible region of the non-local solution. Sufficient conditions for the extinction and persistence of the proposed model are established. Our results show that the influence of Brownian motion and noise on the transmission of the epidemic is very large. We use the first-order stochastic Milstein scheme, taking into account the required delay of infected individuals.
Keywords: Stochastic model; brownian motion; extinction; stationary distribution; time delay.