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Effects of Natural Acquired Immunity in an Age-Structured Malaria Model

Malaria, a vector borne disease, is one of the most important major global public health challenges. In this paper we develop a deterministic mathematical model for malaria, which considers the effects on malaria prevalence of the chronological age of human hosts and the role of natural acquired immunity (NAI) of people continuously exposed to the parasite. We identify the basic reproduction number, R0, and run numerical simulations on a discrete age version of the model. The aim of this study is to determine how different levels of age dependent NAI, which depend on levels of transmissibility (mosquito presence) can affect malaria dynamics. We conclude that the proportion of infectious individuals decrease with increasing levels of transmissibility and that for levels of transmissibility greater than a certain threshold, the number of infectious people in younger age groups is larger than in older ones.

Article Number:
MTBI-09-11M

Year:
2012

Authors:
Katia Vogt Geisse- Purdue University
Juan Cordovez- Universidad de los Andes

effects_of_natural_acquired_immunity_in_an_age-structured_malaria_model.pdf