Abstract: In this paper, a mathematical model of is presented and analyzed to gain more insight in the dynamism of Poverty and Prostitution in Nigeria. The model incorporates an infected compartment that gives a non – violent approach as intervention from the government. The stability of the system is analyzed for the existence of the Prostitute free equilibrium and existence of the Local stability of the Prostitution free equilibrium was investigated via the threshold parameter [Reproduction number ] obtained using the Next generation Matrix technique. The result shows that the is locally asymptotically stable at reproduction number less than unity and unstable whenever . Numerical simulation was performed using reasonable sets of values from existing literatures and the results shows that high rate of government intervention will proclaim a drastic decrease to the minimum point the number of the Poverty and Prostitution population which will triggers the truncation of infection in the population.
Keywords: Mathematical model, Prostitution, Poverty, Local stability, Reproduction number.
Author: F. O Akinpelu, M. M Ojo
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
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