Lassa fever model with variability in susceptibility due to awareness level
Keywords:
infectious disease, lassa fever, awareness level, modelling, stabilityAbstract
This paper modifies a mathematical model for the transmission dynamics of Lassa fever that accounted for awareness level due susceptibility. The modified model classifies the susceptible individuals by their level of Lassa fever awareness and further expands the number of key factors that can affect the Lassa fever dynamics. The effect of these factors on the associated reproduction number of the model is considered. The model is analysed by using stability theory of differential equations. The model analysis shows that the spread of Lassa fever disease can be controlled by using awareness programmes. The simulation analysis of the model confirms the analytical results.
References
Carrillo-Bustamante P, Thi Huyen Tram Nguyen, Lisa Oestereich, Stephan Günther, Jeremie Guedj, Frederik Graw. Determining ribavirin’s mechanism of action against Lassa virus infection. Scientific Reports, 2017; 7(1):11693.
Central Intelligence Agency. World fact book for the year 2014. Retrieved on 20 February 2016 from, 2015. http:/www.cia/library/publication/the-worldfactbook/ge os/ni.htm
Farrington CP, Kanaan MN, Gay NJ. Estimation of the basic reproduction number for infectious diseases from age-stratified serological survey data. Appl. Statist., 2001; 50(Part 3):251-292.
Fisher-Hoch SP, Tomori O, Nasidi A, Perez-Oronoz GI, Fakile Y, Hutwagner L. Review of cases of nosocomial Lassa fever in Nigeria: The high price of poor medical practice. Biomedical Journal, 1995; 311:857–869.
McCormick JB, et al. Lassa fever. Effective therapy with ribavirin. The New England Journal of Medicine. 1986; 314:20–26.
Obasi C, Mbah GCE. On the basic reproduction number of Lassa fever epidemics and its relationship with inter-epidemic period. Journal of the Nigerian Society for Mathematical Biology, 2019; 2:69–79.
Ogbu OE, Ajuluchukwu CJ, Uneke CJ. Lassa fever in West Africa sub-region: An overview. Journal of Vector Borne Diseases, 2007; 44:1-11.
Chalmers D. The conscious mind: In search of a fundamental theory. Oxford: Oxford University Press, 1997.
Amir H, Igor A, Leslie S, Allan B, Ron R, Vassilis C. Brain inspired cognitive systems. New York: Springer, 2009.
World Health Organization. Centre for disease control. Imported Lassa fever. Morbidity Mortal Weekly Reports, 2004; 53(38):894-897.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 Obasi Chinedu, Mbah GCE
This work is licensed under a Creative Commons Attribution 4.0 International License.