On the dynamics of HIV-AIDS and cryptosporidiosis

Okosun, K.O., Khan, M.A., Bonyah, E., and Ogunlade, S.A. (2017) On the dynamics of HIV-AIDS and cryptosporidiosis. European Physical Journal Plus, 132 (8). 363. pp. 338-363.

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This paper seeks to examine a mathematical model for cryptosporidiosis-HIV co-infection, in order to explore their synergistic relationship in the presence of prevention and treatment. Firstly, we investigate the sub-models and their steady states properties. They are found to be locally and globally stable. Thereafter, the steady states of the co-infected model waswere studied and itthey proved to exhibit backward bifurcation phenomena. Furthermore, we incorporate time-dependent controls in the model and apply Pontryagin’s maximum principle, so that we can determine the best optimal strategy to control the co-infected diseases. Finally, we present the numerical results, which show that the best strategy to control co-infection is to combine all the five controls at the same time.

Item ID: 74914
Item Type: Article (Research - C1)
ISSN: 2190-5444
Copyright Information: © Societ`a Italiana di Fisica / Springer-Verlag 2017
Date Deposited: 12 Jul 2022 02:40
FoR Codes: 31 BIOLOGICAL SCIENCES > 3107 Microbiology > 310701 Bacteriology @ 20%
49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490102 Biological mathematics @ 50%
46 INFORMATION AND COMPUTING SCIENCES > 4602 Artificial intelligence > 460207 Modelling and simulation @ 30%
SEO Codes: 20 HEALTH > 2099 Other health > 209999 Other health not elsewhere classified @ 100%
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