Mathematical Modeling: Global Stability Analysis of Super Spreading Transmission of Respiratory Syncytial Virus (RSV) Disease
Issued Date
2022-07-01
Resource Type
eISSN
20793197
Scopus ID
2-s2.0-85166753566
Journal Title
Computation
Volume
10
Issue
7
Rights Holder(s)
SCOPUS
Bibliographic Citation
Computation Vol.10 No.7 (2022)
Suggested Citation
Sungchasit R., Tang I.M., Pongsumpun P. Mathematical Modeling: Global Stability Analysis of Super Spreading Transmission of Respiratory Syncytial Virus (RSV) Disease. Computation Vol.10 No.7 (2022). doi:10.3390/computation10070120 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/88842
Title
Mathematical Modeling: Global Stability Analysis of Super Spreading Transmission of Respiratory Syncytial Virus (RSV) Disease
Author(s)
Other Contributor(s)
Abstract
In this paper, a model for the transmission of respiratory syncytial virus (RSV) in a constant human population in which there exist super spreading infected individuals (who infect many people during a single encounter) is considered. It has been observed in the epidemiological data for the diseases caused by this virus that there are cases where some individuals are super-spreaders of the virus. We formulate a simply SEIr Is R (susceptible–exposed–regular infected–super-spreading infected–recovered) mathematical model to describe the dynamics of the transmission of this disease. The proposed model is analyzed using the standard stability method by using Routh-Hurwitz criteria. We obtain the basic reproductive number (R0) using the next generation method. We establish that when R0 < 1, the disease-free state is locally asymptotically stable and the disease endemic state is unstable. The reverse is true when R0 > 1, the disease endemic state becomes the locally asymptotically stable state and the disease-free state becomes unstable. It is also established that the two equilibrium states are globally asymptotically stable. The numerical simulations show how the dynamics of the disease change as values of the parameters in the SEIr Is R are varied.