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

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 δPδti-1ⁿ δδx₁A₁P + 1/2 Σ_i-1ⁿ Σ_j-1ⁿ δ²δx_iδxj B_ijP 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