Using Markov assumption with covariates to assess the Plasmodium falciparum malaria serological markers evolution

Abstract

In this study, we develop Three Markov models which are continuous time-homogeneous Model, time piecewise constant intensities Markov model and semi-Markov model with Weibull distribution as the waiting time distribution to evaluate malaria serology evolution. We consider two-state model describing antibody reactivity defined by immunologists. We discuss in detail the application of these models to identify relationships between malaria control program and serological measurements of malaria transmission