The coronavirus disease(COVID-19)is a dangerous pandemic and it spreads to many people in most of the world.In this paper,we propose a COVID-19 model with the assumption that it is affected by randomness.For positivit...The coronavirus disease(COVID-19)is a dangerous pandemic and it spreads to many people in most of the world.In this paper,we propose a COVID-19 model with the assumption that it is affected by randomness.For positivity,we prove the global existence of positive solution and the system exhibits extinction under certain parametric restrictions.Moreover,we establish the stability region for the stochastic model under the behavior of stationary distribution.The stationary distribution gives the guarantee of the appearance of infection in the population,Besides that,we find the reproduction ratio R for prevail and disappear of infection within the human population.From the graphical representation,we have validated the threshold conditions that define in our theoretical findings.展开更多
This paper deals with stochastic Chikungunya(CHIKV)virus model along with saturated incidence rate.We show that there exists a unique global positive solution and also we obtain the conditions for the disease to be ex...This paper deals with stochastic Chikungunya(CHIKV)virus model along with saturated incidence rate.We show that there exists a unique global positive solution and also we obtain the conditions for the disease to be extinct.We also discuss about the existence of a unique ergodic stationary distribution of the model,through a suitable Lyapunov function.The stationary distribution validates the occurrence of disease;through that,we find the threshold value for prevail and disappear of disease within host.With the help of numerical simulations,we validate the stochastic reproduction number Rq as stated in our theoretical findings.展开更多
基金the DST-INSPIRE Fellowship(No.DST/INSPIRE Fellowship/2017/IF170244)Department of Science and Technology,New Delhi.The second author is thankful to the DST-FIST(Grant No.SR/FST/MSI-115/2016(Level-I))DST,New Delhi for providing financial support.The last author was supported by the National Research Foundation of Korea(NRF)grant funded by the Korea government(MSIT)(No.2021R1F1A1048937).
文摘The coronavirus disease(COVID-19)is a dangerous pandemic and it spreads to many people in most of the world.In this paper,we propose a COVID-19 model with the assumption that it is affected by randomness.For positivity,we prove the global existence of positive solution and the system exhibits extinction under certain parametric restrictions.Moreover,we establish the stability region for the stochastic model under the behavior of stationary distribution.The stationary distribution gives the guarantee of the appearance of infection in the population,Besides that,we find the reproduction ratio R for prevail and disappear of infection within the human population.From the graphical representation,we have validated the threshold conditions that define in our theoretical findings.
基金supported by the DST-INSPIRE Fellowship(No.DST/INSPIRE Fellowship/2017/IF 170244)Department of Science and Technology,New Delhi.The second author is thankful to UGC(BSR)Start-Up Grant(Grant No.F.30-361/2017(BSR))University Grants Commission,New Delhi.
文摘This paper deals with stochastic Chikungunya(CHIKV)virus model along with saturated incidence rate.We show that there exists a unique global positive solution and also we obtain the conditions for the disease to be extinct.We also discuss about the existence of a unique ergodic stationary distribution of the model,through a suitable Lyapunov function.The stationary distribution validates the occurrence of disease;through that,we find the threshold value for prevail and disappear of disease within host.With the help of numerical simulations,we validate the stochastic reproduction number Rq as stated in our theoretical findings.
