SEIRS-SEI Model of Malaria Disease with Application of Vaccines and Anti-Malarial Drugs

Abstract

This article discusses the mathematical model of SEIRS-SEI type malaria disease. Modification of the model is done by giving the treatment in humans, in the form of vaccines and anti-malarial drugs treatment. In this model, the human population is divided into four classes, namely susceptible human, exposed human, infected human, and recovered human. The mosquito population is divided into three classes, namely susceptible mosquito, exposed mosquito and infected mosquito. Furthermore, the analysis of the model to show the effect of treatment given to disease transmission. At the end of this article is provided numerical simulations to show the effectiveness of vaccines and anti-malarial drugs in humans to suppress the rate of transmission of disease. The simulation results show that the increase of vaccines effectiveness and anti-malarial drugs in humans can reduce the reproduction numbers, so that within a certain time the disease will disappear from the population.

A spatial nonlinear mathematical model of malaria transmission dynamics using vector control strategies

“…It was also reported that a treatment strategy using highly effective drugs against such parameters can reduce malaria transmission. Resmawan [21] provides numerical simulations to show the effectiveness of vaccines and anti-malarial drugs in humans to suppress the rate of transmission of disease. It was assumed that humans in the susceptible class could move into the recovering class due to vaccination.…”