Stationary distribution and extinction of stochastic coronavirus (COVID-19) epidemic model
| Autor: | Mehreen Fiza, Amir Khan, Mostafa Zahri, Abdullahi Yusuf, Usa Humphries, Touria Karite, Hedayat Ullah, Hakeem Ullah |
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| Přispěvatelé: | Mühendislik ve Doğa Bilimleri Fakültesi |
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
Extinction
Stationary distribution Coronavirus disease 2019 (COVID-19) Stochastic modelling Epidemiology Applied Mathematics Covıd-19 Milstein method medicine.disease_cause Susceptible individual Modeling and Simulation Milstein Scheme medicine Sqir Model Quantitative Biology::Populations and Evolution Geometry and Topology Statistical physics Epidemic model Stochastic Model Coronavirus Mathematics Lyapunov Function |
| Popis: | The aim of this paper is to model corona-virus (COVID-19) taking into account random perturbations. The suggested model is composed of four different classes i.e. the susceptible population, the smart lockdown class, the infectious population, and the recovered population. We investigate the proposed problem for the derivation of at least one unique solution in the positive feasible region of nonlocal solution. For one stationary ergodic distribution, the necessary result of existence is developed by applying the Lyapunov function and the condition for the extinction of the disease is also established. The obtained results show that the effect of Brownian motion and noise terms on the transmission of the epidemic is very high. If the noise is large the infection may decrease or vanish. For validation of our obtained scheme, the results for all the classes of the problem have been simulated numerically. |
| Databáze: | OpenAIRE |
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