Author

Resmawan

Subject

- Sains

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 shows 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.

Publisher

Researchsquare

Contributor

R Resmawan

Publish

2021

Material Type

ARTIKEL

Right

-