Mathematical Model for Vector-Parasite Interactions in Lymphatic Filariasis Transmission

Abstract

Abstract Interaction between vector mosquitoes and filarial parasites is a key concern in Lymphatic Filariasis transmission. Model for describing this interaction must strongly be incorporated with heterogeneity in the transmission via parameters in model equations. Various dynamics occur in parasite uptake by mosquitoes, parasite development and survival. Hosting filarial parasites by vector mosquitoes and parasite induced vector mortality usually resemble a situation similar to predator-prey interaction. This paves the way for more mathematical analysis through well-known model Lotka-Volterra, where phase space analysis suggests possible dynamics in vector-parasite interactions. Simulation trials can be executed to validate parameter estimations and attributed variations. Based on the corresponding interpretations, one can decide what would be the ideal set of parameters suited for an epidemiological situation of Lymphatic Filariasis in an endemic area