On the Steady State of an Age-Dependent Model for Malaria
This chapter discusses some basic analysis of the steady state equations of an age-dependent model of malaria, suggested by Klaus Dietz in cooperation with others at the World Health Organization. The model considers population density of the sporozoite (asexual) malarial parasite in a host; the death rate of the sporozoites; and the population density of the gametocyte (sexual) malarial parasite in a host. The sporozoite is involved directly in the effect of the disease on the host but not in the transfer of disease, while the gametocyte has little symptomatic effect but is the key to the spread of the disease via the mosquito. The chapter describes different assumptions that are incorporated in the model.
Farris, Frank A. with R. Elderkin, et al. “On the Steady State of an Age-Dependent Model for Malaria.” In Non-linear Systems and Applications, edited by V. Lakshmikantham. New York: Academic Press, 1977, pp. 491–512.