Mathematical HIV/AIDS Model with Multi-Interaction Between Infected and Educated Subpopulations and Its Local Stability
- https://doi.org/10.2991/aer.k.211215.050How to use a DOI?
- Dynamical system; Multi-interaction; Local stability
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.
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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 -