Effect Of Stochastic Migration On an Hiv/Aids Transmission Model

Authors: Achugamonu Pius C¹, Uwakwe Joy ², Napoleon Inalegwu Agbo³, Achugamonu, Geraldine⁴, Kingsley  Ihim⁵, Oparaji Stanley⁶, Ezechinyereugo Wisdom⁷

Affiliation: Department of Mathematics, Alvan Ikoku Federal University of Education, Owerri, Nigeria^1,2,3.
Department of Physics, Alvan Ikoku Federal University of Education Owerri, Nigeria⁴.
Department of Computer Science, Alvan Ikoku Federal University of Education Owerri, Nigeria^5,6,7.

Article Type: Original Research Article

Publication: West African Journal of Industrial and Academic Research, Vol. 27, No. 3 (2026), pp. 52-59

Research Design: Mathematical Modelling Study

Evidence Type: Primary Empirical Research

Keywords: HIV/AIDS transmission model; Stochastic migration; Stability analysis; Epidemiological Modeling;Planck Equation, Perturbation.

Abstract: We developed a mathematical model of HIV/AIDs on varying population in [1]. In this paper we considered the effect of stochastic migrating into the susceptible class of the developed model. A system of stochastic ordinary differential equations (SODEs) was then formulated and this was analyzed. Also the Fokker-Planck equation,

was 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.

Suggested Citation:
Achugamonu, P. C., Uwakwe, J., Agbo, N. I., Achugamonu, G., Ihim, K., Oparaji, S., & Ezechinyereugo, W.  (2026). Effect Of Stochastic Migration On an Hiv/Aids Transmission Model. West African Journal of Industrial and Academic Research, 27(3), 52-59.