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Stochastic Epidemic Model of Covid-19 via the Reservoir-People transmission Network

Computers, Materials & Continua 2022年第7期72卷 1495-1514页

作者： Kazem Nouri Milad Fahimi Leila Torkzadeh Dumitru Baleanu Department of Mathematics Faculty of MathematicsStatistics and Computer SciencesSemnan UniversityP.O.Box 35195-363SemnanIran Department of Mathematics Faculty of Arts and SciencesCankaya UniversityAnkaraTurkey Institute of Space Sciences Magurele-BucharestRomania

The novel Coronavirus COVID-19 emerged in Wuhan,China in December 2019.COVID-19 has rapidly spread among human populations and other mammals.The outbreak of COVID-19 has become a global challenge.Mathematical models of epidemiological systems enable studying and predicting the potential spread of disease.Modeling and predicting the evolution of COVID-19 epidemics in near real-time is a scientific challenge,this requires a deep understanding of the dynamics of pandemics and the possibility that the diffusion process can be completely random.In this paper,we develop and analyze a model to simulate the Coronavirus transmission dynamics based on Reservoir-People transmission network.When faced with a potential outbreak,decision-makers need to be able to trust mathematical models for their decision-making processes.One of the most considerable characteristics of COVID-19 is its different behaviors in various countries and regions,or even in different individuals,which can be a sign of uncertain and accidental behavior in the disease outbreak.This trait reflects the existence of the capacity of transmitting perturbations across its domains.We construct a stochastic environment because of parameters random essence and introduce a stochastic version of theReservoir-Peoplemodel.Then we prove the uniqueness and existence of the solution on the stochastic model.Moreover,the equilibria of the system are considered.Also,we establish the extinction of the disease under some suitable conditions.Finally,some numerical simulation and comparison are carried out to validate the theoretical results and the possibility of comparability of the stochastic model with the deterministic model.

关键词： Coronavirus infectious diseases stochastic modeling brownian motion reservoir-people model transmission simulation stochastic differential equation

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