The effect of stochastic migration on an HIV/AIDS transmission model.

  • SC Inyama

Abstract



In [3] we developed a mathematical model of the transmission dynamics of HIV/AIDS in Nigeria. In this paper, we consider the effect of stochastic migrating into the susceptible class. A system of stochastic ordinary differential equations (SODEs) was then formulated. This was analyzed. Also the Fokker-Planck equation δPδt= -Σi-1n δδx1A1P + 1/2 Σi-1n Σj-1n δ2δxiδxj BijP is used to transform the system into a system of deterministic partial differential equation. This latter equation was analyzed and it was shown that the stochastic migration has no significant effect on the model.

Journal of the Nigerian Association of Mathematical Physics Vol. 10 2006: pp. 471-476
Published
2008-05-22
Section
Articles

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eISSN: 1116-4336