Indonesian Journal of Mathematics and Applications
Vol. 1 No. 1 (2023): Indonesian Journal of Mathematics and Applications

Vector-Reservoir Transmission in A Japanese Encephalitis Model

Lisa R. Sari (Unknown)
Puji Andayani (Unknown)
Sekarsari U. Wijaya (Unknown)



Article Info

Publish Date
20 Mar 2023

Abstract

In this paper, a model for characterizing the dynamics of vector-borne diseases is put out, emphasizing Japanese encephalitis. The susceptible-infectious-recovered (SIR) model for the host population and the susceptible-infectious (SI) model for the vector and reservoir populations are used to examine the role of host-vector-reservoir dynamics and their interplay. The standard incidence rate represents the probability of an actual disease contact. The model has two equilibrium points: an endemic equilibrium point that only exists under specific circumstances and a disease-free equilibrium point that always exists. The stability analysis of the model’s equilibrium point has been established. The basic reproduction number is calculated using the next-generation matrix method. A sensitivity analysis on models supported by numerical simulations is provided to demonstrate the critical parameter that affects the spread of disease.Our findings indicate that vector-reservoir transmission is the primary cause of endemic. Controlling vector-reservoir transmission lowers the likelihood of human infection and creates disease-free settings.

Copyrights © 2023






Journal Info

Abbrev

ijma

Publisher

Subject

Computer Science & IT Education Mathematics Other

Description

The Indonesian Journal of Mathematics and Applications is a journal managed by Universitas Brawijaya, Malang, Indonesia, that is published twice a year (in March and September). IJMA is devoted to research articles of the highest quality in all areas of mathematics and its applications, statistics, ...