Journal of Applied Mathematics & Bioinformatics

Stochastic age-structured malaria transmission model

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  • Abstract

    A stochastic age-structured malaria epidemic model is formulated and analysed.The proposed stochastic model is a perturbation of a deterministic age-structured model where the diffusion terms are driven by a multidimensional Brownian motion. Numerical simulations show that sample paths converge to deterministic trajectories when R0 < 1 whereas a significant difference is observed for R0 > 1.

    Mathematics Subject Classification: 92B05; 92C60; 92D25; 92D30; 93E03
    Keywords: Stochastic system; malaria model, Brownian motion; Cauchy problem; stochastic partial differential equations