HIV/AIDS Model for assessing the effects of prophylactic sterilizing vaccines, condoms and treatment with amelioration

Z. MUKANDAVIRE, W. GARIRA

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

HIV/AIDS vaccination model for heterosexual transmission with explicit incubation period is presented as a system of delay differential equations. The model considers prophylactic vaccination of sexually immature (pre- and early-adolescents) and mature susceptibles in a community. We start by formulating and analyzing an HIV/AIDS vaccination model that we extend to incorporate condom use based on efficacy and compliance. Further, we extend HIV/AIDS vaccination model with condom use by incorporating treatment which allows AIDS patients to undergo amelioration. The thresholds and equilibria for the models are determined, and stabilities analyzed. The basic reproductive numbers for the models are computed and compared to assess the possible community benefits of using prophylactic vaccines, condoms and treatment with amelioration of AIDS patients. We conclude from the study that vaccination and condom use can reduce the basic reproductive number (R0) to values below unity but treatment with amelioration intended to lengthen the lives of AIDS patients may result in more numbers of HIV infections and fail to reduce R0 to values less than unity as intended for disease control. © World Scientific Publishing Company.
Original languageEnglish
Pages (from-to)323-355
Number of pages33
JournalJournal of Biological Systems
Volume14
Issue number3
DOIs
Publication statusPublished - Sep 2006

Fingerprint

sterilizing
Vaccines
Vaccine
Condoms
vaccine
acquired immune deficiency syndrome
human immunodeficiency virus
Vaccination
vaccination
Acquired Immunodeficiency Syndrome
remediation
condom use
HIV
vaccines
Basic Reproductive number
Therapeutics
Model
Disease control
HIV Infection
disease control

Keywords

  • Basic Reproductive Number
  • Condoms
  • Delay
  • HIV/AIDS Model
  • Prophylactic Vaccination
  • Stability
  • Treatment with Amelioration

Cite this

HIV/AIDS Model for assessing the effects of prophylactic sterilizing vaccines, condoms and treatment with amelioration. / MUKANDAVIRE, Z.; GARIRA, W.

In: Journal of Biological Systems, Vol. 14, No. 3, 09.2006, p. 323-355.

Research output: Contribution to journalArticle

@article{12858182e5224b328a51bfc22bc8fdd1,
title = "HIV/AIDS Model for assessing the effects of prophylactic sterilizing vaccines, condoms and treatment with amelioration",
abstract = "HIV/AIDS vaccination model for heterosexual transmission with explicit incubation period is presented as a system of delay differential equations. The model considers prophylactic vaccination of sexually immature (pre- and early-adolescents) and mature susceptibles in a community. We start by formulating and analyzing an HIV/AIDS vaccination model that we extend to incorporate condom use based on efficacy and compliance. Further, we extend HIV/AIDS vaccination model with condom use by incorporating treatment which allows AIDS patients to undergo amelioration. The thresholds and equilibria for the models are determined, and stabilities analyzed. The basic reproductive numbers for the models are computed and compared to assess the possible community benefits of using prophylactic vaccines, condoms and treatment with amelioration of AIDS patients. We conclude from the study that vaccination and condom use can reduce the basic reproductive number (R0) to values below unity but treatment with amelioration intended to lengthen the lives of AIDS patients may result in more numbers of HIV infections and fail to reduce R0 to values less than unity as intended for disease control. {\circledC} World Scientific Publishing Company.",
keywords = "Basic Reproductive Number, Condoms, Delay, HIV/AIDS Model, Prophylactic Vaccination, Stability, Treatment with Amelioration",
author = "Z. MUKANDAVIRE and W. GARIRA",
year = "2006",
month = "9",
doi = "10.1142/S0218339006001878",
language = "English",
volume = "14",
pages = "323--355",
journal = "Journal of Biological Systems",
issn = "0218-3390",
publisher = "World Scientific Publishing",
number = "3",

}

TY - JOUR

T1 - HIV/AIDS Model for assessing the effects of prophylactic sterilizing vaccines, condoms and treatment with amelioration

AU - MUKANDAVIRE, Z.

AU - GARIRA, W.

PY - 2006/9

Y1 - 2006/9

N2 - HIV/AIDS vaccination model for heterosexual transmission with explicit incubation period is presented as a system of delay differential equations. The model considers prophylactic vaccination of sexually immature (pre- and early-adolescents) and mature susceptibles in a community. We start by formulating and analyzing an HIV/AIDS vaccination model that we extend to incorporate condom use based on efficacy and compliance. Further, we extend HIV/AIDS vaccination model with condom use by incorporating treatment which allows AIDS patients to undergo amelioration. The thresholds and equilibria for the models are determined, and stabilities analyzed. The basic reproductive numbers for the models are computed and compared to assess the possible community benefits of using prophylactic vaccines, condoms and treatment with amelioration of AIDS patients. We conclude from the study that vaccination and condom use can reduce the basic reproductive number (R0) to values below unity but treatment with amelioration intended to lengthen the lives of AIDS patients may result in more numbers of HIV infections and fail to reduce R0 to values less than unity as intended for disease control. © World Scientific Publishing Company.

AB - HIV/AIDS vaccination model for heterosexual transmission with explicit incubation period is presented as a system of delay differential equations. The model considers prophylactic vaccination of sexually immature (pre- and early-adolescents) and mature susceptibles in a community. We start by formulating and analyzing an HIV/AIDS vaccination model that we extend to incorporate condom use based on efficacy and compliance. Further, we extend HIV/AIDS vaccination model with condom use by incorporating treatment which allows AIDS patients to undergo amelioration. The thresholds and equilibria for the models are determined, and stabilities analyzed. The basic reproductive numbers for the models are computed and compared to assess the possible community benefits of using prophylactic vaccines, condoms and treatment with amelioration of AIDS patients. We conclude from the study that vaccination and condom use can reduce the basic reproductive number (R0) to values below unity but treatment with amelioration intended to lengthen the lives of AIDS patients may result in more numbers of HIV infections and fail to reduce R0 to values less than unity as intended for disease control. © World Scientific Publishing Company.

KW - Basic Reproductive Number

KW - Condoms

KW - Delay

KW - HIV/AIDS Model

KW - Prophylactic Vaccination

KW - Stability

KW - Treatment with Amelioration

U2 - 10.1142/S0218339006001878

DO - 10.1142/S0218339006001878

M3 - Article

VL - 14

SP - 323

EP - 355

JO - Journal of Biological Systems

JF - Journal of Biological Systems

SN - 0218-3390

IS - 3

ER -