Abstract
Ebola virus disease is transmitted from human to human through physi- cal contact of body uid of infected or dead case. It can also be transmitted indirectly through contact with contaminated surfaces. This risk is however low and can be minimised through cleaning the surfaces by the use of disin- fectants. In this paper we investigate the transmission dynamics of the 2014 Ebola virus disease in west Africa. We use a four compartmental network of Susceptible individuals (S), Exposed individuals (E), Infectious individuals (I) and the Removed individuals (R) without demographic factors. The re- moved compartment is further split into two compartments i.e the recovered individuals (R) and the dead and buried individuals (D). We give the math- ematical model that describe the transmission dynamics of the 2014 Ebola virus disease in West Africa. The results of the model analysis indicate that the threshold value for the transmission dynamics equals the relative removal rate. It is shown that provided that the susceptible ratio is kept below the relative removal rate then the epidemic will not occur. Keywords ; Ebola virus disease, basic reproduction number, epidemic threshold Mathematics subject classi cation: 97M60, 00A71, 46N70 DOI: 10.7176/MTM/9-2-05
Highlights
Summary
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
