摘要
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.
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.