v_1
EXT = S
v_10
A = EXT
v_2
S = I1
v_3
S = EXT
v_4
I1 = I2
v_5
I1 = EXT
v_6
I1 = A
v_7
I2 = EXT
v_8
I2 = A
v_9
A = EXT
Note that constraints are not enforced in simulations. It remains the responsibility of the user to verify that simulation results satisfy these constraints.
Analysis of recruitment and industrial human resources management for optimal productivity in the presence of the HIV/AIDS epidemic.
J Biol Phys 2013;
39
(1):
99
- PubMed: 23860836
- PubMed Central: PMC3532663
- DOI: 10.1007/s10867-012-9288-2
- ISSN: 0092-0606
- URL: http://ncbi.nlm.nih.gov/pubmed/23860836
Abstract
The aim of this paper is to analyze the recruitment effects of susceptible and infected individuals in order to assess the productivity of an organizational labor force in the presence of HIV/AIDS with preventive and HAART treatment measures in enhancing the workforce output. We consider constant controls as well as time-dependent controls. In the constant control case, we calculate the basic reproduction number and investigate the existence and stability of equilibria. The model is found to exhibit backward and Hopf bifurcations, implying that for the disease to be eradicated, the basic reproductive number must be below a critical value of less than one. We also investigate, by calculating sensitivity indices, the sensitivity of the basic reproductive number to the model's parameters. In the time-dependent control case, we use Pontryagin's maximum principle to derive necessary conditions for the optimal control of the disease. Finally, numerical simulations are performed to illustrate the analytical results. The cost-effectiveness analysis results show that optimal efforts on recruitment (HIV screening of applicants, etc.) is not the most cost-effective strategy to enhance productivity in the organizational labor force. Hence, to enhance employees' productivity, effective education programs and strict adherence to preventive measures should be promoted.
No additional notes are available for this model.