Stochastic and Deterministic Model for Transmission of Monkey pox Disease
Keywords:
Stochastic Differential Equation, Drift, VolatityAbstract
In this paper, a SIR Model is established for Monkey Pox disease. SIR is an acronym which stands for Susceptible, Infectious and Recovered groups in a given population. An equivalent deterministic model which is an auxiliary tool is transformed into a stochastic model. The stochastic model is studied by numerical simulation which is used to analyse the control of transmission of the disease. Numerical simulation of the model shows that an increase in vaccination leads to low disease prevalent in a
population. Raising awareness of risk factors and educating people about the measure they can take to reduce exposure to the virus is the main prevention strategy for Monkey Pox
References
Allen, E.J; Allen L.J.S; Arciniega A; Greenwood P.E (2008).Construction of equivalent stochastic Differential Equation models. Stochastic Analysis Applications 26(2):274-297.
Bankuru S.V; Samuel K, William H; Parsa M; Jan R; Dewey. T(2020). A game –theoretic model of Monkeypox to assess Vaccination Strategies. Peer j, Vol 8:e9272 Dol:10.7717/peer j. 9272.
Bhunu, C.P; Mushayabasa, S (2011). Modeling the Transmission Dynamics of pox-like infections. International Journal of Applied mathematics, 41,2.
Diekmann, O, Hesterbeek, J.A.P and Metz, J.A.J (1990): On the definition and the computation of the basic reproduction number ratio R0 in model for infectious diseases in heterogeneous populations .Math.Biol.28.365-612.
Emaka, P.C; Onuorah, M.o, Eguda, F.t and Babangida, B.G (2018).Mathematical model for Monkeypox virus transmission Dynamics. Epidemiology (Sunnyvale), Vol 8(3):348.Dol:10.4172/2161-1165.1000348.
Lasisi, N.O; Akinwande, N.I and Oguntolo, F.A (2020).Development and exploration of
a Mathematical model for the transmission of Monkeypox disease in humans. Mathematics models in
Engineering, Vol 6, issue 1, P.23-33.
NCDC (2019).Nigeria Monkeypox monthly situation report Retrieved from: http://ncdc.gov.ng/ themes/common/docs/protocols/96- 1577798 337.pdf.
Peter, O. J; Akinduko, O. B, Oguntolu, F. A, and Ishola, C. Y (2018) Mathematical Model
for the Control of Infectious Disease. J. Appl Sci. Environ. Manage. vol.22(4) 447 – 451, WHO (2017). “Monkeypox Fact Sheet”. World Health Organization 21 December 2017. Retrieved 7 April, 2018
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 IO Ogwuche, Emeoyi A. T
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Contact Us
Editorial Team
Join As A Reviewer 
Request For Print Copy
Cprint Publishers