Formulation of a vector SIS malaria model in a patchy environment with two age classes.

Abstract

We formulate an SIS model describing transmission of highland malaria in Western Kenya, the host population is classified as children, age 1- 5 years and adults, above 5 years. The susceptibility and infectivity of an individual depends on age class and residence. The large scale system with 6n equations is reduced into a compact form of 3n equations by a change of variables. Then 3n equations are vectorialized using matrix theory to get a one dimension, compact form of the system, equation in ]R3n. Using Vidyasagar theorem [1], the graph of the reduced system is shown to be strongly connected and....................