Jambura Journal of Biomathematics (JJBM)
Vol. 7 No. 1: March 2026

Analyzing Dengue Transmission Through a Two-Age-Class Host Population Model

Eminugroho Sari (Department of Mathematics Education, Mathematics Study Program, Universitas Negeri Yogyakarta, Yogyakarta 55281, Indonesia)
Dwi Lestari (Department of Mathematics Education, Mathematics Study Program, Universitas Negeri Yogyakarta, Yogyakarta 55281, Indonesia)
Nikenasih Binatari (Department of Mathematics Education, Mathematics Study Program, Universitas Negeri Yogyakarta, Yogyakarta 55281, Indonesia)
Retno Subekti (Department of Mathematics Education, Statistics Study Program, Universitas Negeri Yogyakarta, Yogyakarta 55281, Indonesia)
Fitriana Saptaningtyas (Department of Mathematics Education, Mathematics Study Program, Universitas Negeri Yogyakarta, Yogyakarta 55281, Indonesia)



Article Info

Publish Date
17 Mar 2026

Abstract

Age is an important risk factor for vector-borne diseases such as dengue. Children are more exposed to mosquito bites than adults due to behavioral and environmental factors. This study extends the classical host-vector modeling framework by incorporating the human population divided into two age classes, i.e, children and adults. The model also introduces additional key biological parameters, such as $b$, the number of mosquito bites per day; $\sigma$, the intrinsic growth rate of the mosquito population; and $\eta$, the relative probability that a mosquito bites an adult rather than a child. We derive the basic reproduction number using the next-generation matrix method and analyze the local stability of the disease-free equilibrium. Furthermore, we obtain sufficient conditions for the local asymptotic stability of the endemic equilibrium in a specific case. Sensitivity analysis is discussed to identify parameters that have the most influence. The numerical simulations are provided to support the theoretical results.

Copyrights © 2026






Journal Info

Abbrev

ejournal

Publisher

Subject

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

Description

The Jambura Journal of Biomathematics JJBM is a peer reviewed academic journal published by the Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo, Indonesia. The journal is established with the vision of becoming a leading scientific publication in ...