Jambura Journal of Biomathematics (JJBM)
Volume 4, Issue 1: June 2023

Dynamics System in the SEIR-SI Model of the Spread of Malaria with Recurrence

Ahkrizal, Afdhal (Unknown)
Jaharuddin, Jaharuddin (Unknown)
Nugrahani, Endar H. (Unknown)

Article Info

Publish Date
30 Apr 2023

Abstract

Mathematical model is used to describe the dynamics of the spread of malaria in human and mosquito populations. The model used is the SEIR-SI model. This study discusses the stability of the equilibrium point, parameter sensitivity, and numerical simulation of the spread of malaria. The analysis shows that the model has two equilibrium points, namely the disease-free and endemic equilibrium points, each of which is locally asymptotically stable. Numerical simulations show that the occurrence of disease cure in exposed humans causes the rate of malaria spread to decrease. Meanwhile, the presence of disease recurrence causes the spread of malaria to increase.

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Journal Info
Jambura Journal of Biomathematics (JJBM)
Website

Abbrev

JJBM

Publisher

Universitas Negeri Gorontalo

Subject

Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

Description

Jambura Journal of Biomathematics (JJBM) aims to become the leading journal in Southeast Asia in presenting original research articles and review papers about a mathematical approach to explain biological phenomena. JJBM will accept high-quality article utilizing mathematical analysis to gain ...