Year: 2018
Type: article
Abstract: Modelling an infectious disease like diarrhea improves the understanding of the transmission and helps in preventing it. Based on the pathogenesis, this research creates a continuous mathematical model for diarrhea (forming an SIRS system) caused by the virus rotavirus. Basic calculations including the basic reproduction number (R0) and disease-free state are successfully completed for the described system. Results show that if the basic reproduction number is kept below 1 (i.e. R0 < 1), there will be no epidemic. This mathematical model has been simulated using assumed values of parameters to test its fidelity. In order to establish the model in a functioning form, the Routh Hurwitz method has been used for the stability analysis. Model fidelity has been made stronger by conducting the sensitivity analysis and parameter estimation too. This model is very useful and has been integrated to form utilizable systems which function as a predictive system to assist in prevention of further infections of rotavirus causing diarrhea.
DOI: 10.5430/jbei.v4n2p21
Language: English
Field: Medicine
Domain: Health Sciences
Open Access status: diamond
OpenAlex ID: W2907186706