TY - GEN
T1 - Understanding HIV spread with vertical transmission through mathematical model
AU - Aldila, Dipo
AU - Aprilliani, Refqi Rifa
AU - Malik, Maulana
N1 - Funding Information:
The author thanks to all reviewers for their constructive comments and suggestion. This research is funded by Universitas Indonesia with PITTA research grant scheme, 2018 (Contract number : 2252/UN2.R3.1/HKP.05.00/2018).
Publisher Copyright:
© 2018 Author(s).
PY - 2018/9/21
Y1 - 2018/9/21
N2 - Human immunodeficiency virus (HIV) is a virus that attacks human's immune system against infection. The virus destroys immune cells, especially CD4 cells (T cells) that help the immune system fight infections so that if the CD4 cell is damaged, the immune system is not able to work correctly. HIV transmission can occur through sexual contact, injection of syringes, and vertical transmission from HIV / AIDS mothers to their babies. Also, according to the Ministry of Health of the Republic of Indonesia in 2016, seen by type of work, people living with AIDS in Indonesia most often come from the group of housewives. This fact becomes a threat if there is vertical transmission to the group and causes an increase in the number of people who infected with HIV. However, the vertical transmission of HIV does not always occur. That is, a mother with HIV / AIDS can give birth to an infected baby or a healthy baby (not infected). A mathematical model of HIV spread is constructed in this manuscript, which includes the vertical transmission from infectious parents to the newborn. The model is constructed as a four-dimensional ordinary differential equation when the newborn term is in the non-linear form which depends on all compartments. A brief mathematical model analysis about the existence and local stability of equilibria analyzed along with the basic reproduction number. We find that vertical transmission of HIV from infected parents plays an essential role in controls strategy of HIV.
AB - Human immunodeficiency virus (HIV) is a virus that attacks human's immune system against infection. The virus destroys immune cells, especially CD4 cells (T cells) that help the immune system fight infections so that if the CD4 cell is damaged, the immune system is not able to work correctly. HIV transmission can occur through sexual contact, injection of syringes, and vertical transmission from HIV / AIDS mothers to their babies. Also, according to the Ministry of Health of the Republic of Indonesia in 2016, seen by type of work, people living with AIDS in Indonesia most often come from the group of housewives. This fact becomes a threat if there is vertical transmission to the group and causes an increase in the number of people who infected with HIV. However, the vertical transmission of HIV does not always occur. That is, a mother with HIV / AIDS can give birth to an infected baby or a healthy baby (not infected). A mathematical model of HIV spread is constructed in this manuscript, which includes the vertical transmission from infectious parents to the newborn. The model is constructed as a four-dimensional ordinary differential equation when the newborn term is in the non-linear form which depends on all compartments. A brief mathematical model analysis about the existence and local stability of equilibria analyzed along with the basic reproduction number. We find that vertical transmission of HIV from infected parents plays an essential role in controls strategy of HIV.
UR - http://www.scopus.com/inward/record.url?scp=85054165656&partnerID=8YFLogxK
U2 - 10.1063/1.5054546
DO - 10.1063/1.5054546
M3 - Conference contribution
AN - SCOPUS:85054165656
SN - 9780735417304
T3 - AIP Conference Proceedings
BT - International Conference on Science and Applied Science, ICSAS 2018
A2 - Suparmi, M.A.
A2 - Nugraha, Dewanta Arya
PB - American Institute of Physics Inc.
T2 - International Conference on Science and Applied Science, ICSAS 2018
Y2 - 12 May 2018
ER -