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The threshold for a stochastic within-host CHIKV virus model with saturated incidence rate.

Authors :
Gokila, C.
Sambath, M.
Source :
International Journal of Biomathematics. Aug2021, Vol. 14 Issue 6, p1-32. 32p.
Publication Year :
2021

Abstract

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 R 0 S as stated in our theoretical findings. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17935245
Volume :
14
Issue :
6
Database :
Academic Search Index
Journal :
International Journal of Biomathematics
Publication Type :
Academic Journal
Accession number :
152060970
Full Text :
https://doi.org/10.1142/S179352452150042X