Mathematical modelling of malaria transmission and pathogenesis

摘要: In this thesis we will consider two mathematical models on malaria transmission and patho- genesis. The model is a human-mosquito interaction that describes the development of in human population. It accounts for various phases disease humans mosquitoes, together with treatment both sick partially im- mune humans. immune (termed asymptomatic) have recovered from worst symptoms, but can still transmit disease. We present consisting system ordinary differential equations evolution mosquitoes range malarial states. A new feature, what turns out to be key class, consideration reinfected asymptomatic analysis include establishment basic reproduction number, R0, asymptotic draw major timescale events process becoming non-endemic endemic region following introduction few infected mosquitoes. study ascertain possible time scale which intervention programmes may yield better results. also show through our some evidence control eradication. The pathogenesis host. effect response between parasites erythrocytes delay there lag advent merozoites blood training adaptive cells. whether or not single successful bite an mosquito would result death absence innate response. Stability carried parasite free state non cases. do numerical simulations track immunity use methods, assuming small naive individual injection amount into stream. different levels considered elicit level serve as guide producing vaccine high efficacy level.