A mathematical model on Acquired Immunodeficiency Syndrome
Mahato, B., Mishra, B., Jayswal, A., Chandra, R. (2014). A mathematical model on Acquired Immunodeficiency Syndrome. EKB Journal Management System, 22(3), 544-549.
Buddhadeo Mahato; Bimal Kumar Mishra; Anurag Jayswal; Ramesh Chandra. "A mathematical model on Acquired Immunodeficiency Syndrome". EKB Journal Management System, 22, 3, 2014, 544-549.
Mahato, B., Mishra, B., Jayswal, A., Chandra, R. (2014). 'A mathematical model on Acquired Immunodeficiency Syndrome', EKB Journal Management System, 22(3), pp. 544-549.
Mahato, B., Mishra, B., Jayswal, A., Chandra, R. A mathematical model on Acquired Immunodeficiency Syndrome. EKB Journal Management System, 2014; 22(3): 544-549.

A mathematical model on Acquired Immunodeficiency Syndrome

Journal of the Egyptian Mathematical Society
Volume 22, Issue 3, October 2014, Page 544-549  XML PDF (728.1 K)
Document Type: Original Article
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Authors
Buddhadeo Mahato1; Bimal Kumar Mishra2; Anurag Jayswal3; Ramesh Chandra4
1Department of Mathematics, University College of Engineering & Technology, Hazaribag, India
2Department of Applied Mathematics, Birla Institute of Technology, Mesra, Ranchi, India
3Department of Applied Mathematics, Indian School of Mines, Dhanbad, India
4Department of Biotechnology, Birla Institute of Technology, Mesra, Ranchi, India
Abstract
A mathematical model SEIA (susceptible-exposed-infectious-AIDS infected) with vertical
transmission of AIDS epidemic is formulated. AIDS is one of the largest health problems, the
world is currently facing. Even with anti-retroviral therapies (ART), many resource-constrained
countries are unable to meet the treatment needs of their infected populations. We consider a function
of number of AIDS cases in a community with an inverse relation. A stated theorem with proof
and an example to illustrate it, is given to find the equilibrium points of the model. The disease-free equilibrium of the model is investigated by finding next generation matrix and basic reproduction number R0 of the model. The disease-free equilibrium of the AIDS model system is locally asymptotically stable if R0 6 1 and unstable if R0 > 1. Finally, numerical simulations are presented to illustrate the results.
Keywords
Epidemic model; Reproduction number; Equilibrium point; Stability
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