International Journal of Mathematics Trends and Technology
Volume 66 | Issue 7 | Year 2020 | Article Id. IJMTT-V66I7P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I7P506
In this work, we presented an SEIR and SEIV model to describe the transmission dynamics of rabies virus in dogs and humans. The basic reproduction number was computed using next generation method. We computed the disease free and endemic equilibrium points. If the basic reproduction number, R0 < 1 the disease-free equilibrium is locally asymptotically stable this means the disease will dies out within a period of time. The endemic equilibrium points were investigated wherever they exist, using the Descartes’ rule of signs, the endemic equilibrium points are locally asymptotically stable. We also obtained a control solution for the model which predicts that the best way of eliminating deaths from rabies as projected by the global alliance for rabies control is using more of pre-exposure prophylaxis in both dogs and humans and public education; however, the results show that pre-exposure prophylaxis and post-exposure prophylaxis in humans with use of vaccination in the dog population is beneficial if total elimination of the disease is desirable.
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Oliver C. Eze, Godwin E. Mbah, Daniel U. Nnaji, Netochukwu E. Onyiaji, "Mathematical Modelling of Transmission Dynamics of Rabies Virus," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 7, pp. 40-64, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I7P506
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