SEIAS-SEI model on asymptomatic and super infection malaria with imperfect vaccination

Abstract

The aims of this research are to build a model of SEIAS-SEI on the spread of malaria; analysing the model; and conducting simulations to predict the number of cases of malaria in disease-free and endemic cases. This research is a theoretical study. This model uses suspected, exposed, infected and acute compartments. Analysis of the model using the matrix generation method, the data used in the simulation is an assumption data to cover the disease-free and endemic malaria cases and the model simulation using Maple. The results obtained are models of SEIRS-SEI in malaria deployments; model analysis generates equilibrium points and basic reproductive numbers to determine the status of malaria deployments in a region. Simulated results provide a sense of the difference between disease-free State and endemic is that there is a decrease in the number of infected and asymptomatic individual groups. In endemic cases, a decrease in the number of infected and asymptomatic individual groups in malaria spread takes a long time. In contrast to disease-free cases, a decline in the number of infected and asymptomatic individuals may take a short time.