Proceedings of the International Joint Conference on Science and Engineering 2021 (IJCSE 2021)

Mathematical HIV/AIDS Model with Multi-Interaction Between Infected and Educated Subpopulations and Its Local Stability

Authors
Ummu Habibah1, 2, *, Trisilowati M. H. Muzaqi1, Tiara R. Tania1, Labib U. AlFaruq1
1Department of Mathematics, Brawijaya University, Indonesia
2Research Group of Biomathematics, Brawijaya University, Indonesia
*Corresponding author Email: ummu_habibah@ub.ac.id
Corresponding Author
Ummu Habibah
Available Online 16 December 2021.
DOI
https://doi.org/10.2991/aer.k.211215.050How to use a DOI?
Keywords
Dynamical system; Multi-interaction; Local stability
Abstract

The mathematical formula of HIV/AIDS is governed by the ordinary differential equation with seven variables. S and E are susceptible/un-educated and educated individuals respectively, I1 and I2 are HIV-positive individuals consuming and not consuming ARV respectively; A and T are AIDS individuals not and receiving treatment; and R is a recovered individual. We study multi-interaction between infected and educated subpopulations. We analyze the local stability of the equilibrium points. The results are the disease-free is asymptotically stable when satisfying R0 < 1 and the endemic equilibrium point is asymptotically stable when satisfying R0 > 1. The numerical solution supports the analytical results.

Copyright
© 2021 The Authors. Published by Atlantis Press International B.V.
Open Access
This is an open access article under the CC BY-NC license.

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Volume Title
Proceedings of the International Joint Conference on Science and Engineering 2021 (IJCSE 2021)
Series
Advances in Engineering Research
Publication Date
16 December 2021
ISBN
978-94-6239-486-5
ISSN
2352-5401
DOI
https://doi.org/10.2991/aer.k.211215.050How to use a DOI?
Copyright
© 2021 The Authors. Published by Atlantis Press International B.V.
Open Access
This is an open access article under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Ummu Habibah
AU  - Trisilowati M. H. Muzaqi
AU  - Tiara R. Tania
AU  - Labib U. AlFaruq
PY  - 2021
DA  - 2021/12/16
TI  - Mathematical HIV/AIDS Model with Multi-Interaction Between Infected and Educated Subpopulations and Its Local Stability
BT  - Proceedings of the International Joint Conference on Science and Engineering 2021 (IJCSE 2021)
PB  - Atlantis Press
SP  - 272
EP  - 280
SN  - 2352-5401
UR  - https://doi.org/10.2991/aer.k.211215.050
DO  - https://doi.org/10.2991/aer.k.211215.050
ID  - Habibah2021
ER  -