Simulations and Modeling of Mosquito Dispersal in Southern Africa to prevent Chikungunya

Abstract

Chikungunya is an infection in humans caused by the chikungunya virus. The virus is spread to humansВ by a bite of an infected female Aedes species mosquito. Chikungunya virus (CHIKV; Togaviridae, genusВ Alphavirus), transmitted to humans by the bite of Aedes spp. mosquito, leads to an acute fever associated withВ an arthromyalgic syndrome[1].To prevent this disease in Southern Africa, tools to control Aedes albopictus wereВ developed. The Sterile Insect Technique (SIT) is a tool used based on the biological knowledge of insects. TheВ C6/36 cell line was used for virus isolation [2]. In this paper we model the mosquito with a system combinedВ with the parabolic PDEs. It will be shown that the environment influences the dispersal of mosquitos. It will be
done using basic Lie or Smart symmetries in Lie Group.