Formulation of a vector SIS malaria model in a patchy environment with two age classes.
Date
2014-01-22Author
Josephine, Wairimu
Sallet, Cauthier
Wandera, Ogana
Type
ArticleLanguage
enMetadata
Show full item recordAbstract
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....................
Citation
Josephine Wairimu, Sallet Cauthicr, Wandera Ogana''Formulation of a vector SIS malaria model in a patchy environment with two age classes, 2014Publisher
University of Nairobi,