Open AccessAnalysis of an HIV - HCV simultaneous infection model with time delay
Author(s) -
Adamu Shitu Hassan,
Nafiu Hussaini
Publication year - 2021
Publication title -
journal of the nigerian society of physical sciences
Language(s) - English
Resource type - Journals
ISSN - 2714-4704
DOI - 10.46481/jnsps.2021.109
Subject(s) - infectivity , basic reproduction number , stability theory , subthreshold conduction , human immunodeficiency virus (hiv) , stability (learning theory) , mathematics , transmission (telecommunications) , control theory (sociology) , virology , physics , computer science , biology , virus , medicine , telecommunications , quantum mechanics , population , environmental health , transistor , nonlinear system , voltage , machine learning , control (management) , artificial intelligence
A novel mathematical delay model for simultaneous infection of HIV and hepatitis C virus is formulated and dynamically analyzed. Basic properties of the model are established and proved. Basic reproductive threshold is systematically calculated as the maximum of three subthreshold parameters. A disease free equilibrium is determined to be globally asymptotically stable for all values of the delay when the threshold is less than unity. However, when the threshold is greater than one, endemic equilibrium emerged which is shown to be locally asymptotically stable for any length of delay. Although the delay has no effect on stabilities of equilibria points, however, it is found to reduce the infectivity of the viruses as the length of the delay is increased. Epidemiological interpretations of the results and numerical simulations illustrating them are given.