Title: The impact of hygiene care and maternal immunity on stability behaviour of rotavirus infection model for children under the age of five in Thailand
Authors: Ratchada Viriyapong; Gunyarat Koompawan
Addresses: Faculty of Science, Department of Mathematics, Naresuan University, Phitsanulok 65000, Thailand ' Faculty of Science, Department of Mathematics, Naresuan University, Phitsanulok 65000, Thailand
Abstract: Rotavirus infection is one of the significant causes of death in infants and children under five years of age in Thailand and worldwide. In this paper, a deterministic model for rotavirus transmission in children under five years old in Thailand incorporating with hygiene care control and maternal immunity is developed. The basic reproduction number (Rv) is derived and becomes a threshold indicating the stability of both disease-free and endemic equilibrium points. Through the analysis, the results show that the disease-free equilibrium point is locally asymptotically stable when Rv < 1 and the endemic equilibrium point is locally stable when Rv > 1 and satisfies the Routh-Hurwitz criteria. Further, numerical simulation demonstrates that both hygiene care and maternal immunity to the infection due to breastfeeding should be encouraged as a strategy to control rotavirus infection.
Keywords: diarrhoea; rotavirus; mathematical modelling; basic reproduction number; hygiene care; breastfeeding.
International Journal of Mathematical Modelling and Numerical Optimisation, 2018 Vol.8 No.4, pp.378 - 392
Received: 22 Jul 2017
Accepted: 05 Nov 2017
Published online: 06 Sep 2018 *