Global Exponential Stability of a Delayed HIV Infection Model with a Nonlinear Incidence Rate
Author(s) -
Zhiwen Long
Publication year - 2021
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2021/8886322
Subject(s) - exponential stability , basic reproduction number , stability (learning theory) , exponential growth , human immunodeficiency virus (hiv) , exponential function , nonlinear system , mathematics , incidence (geometry) , range (aeronautics) , control theory (sociology) , physics , medicine , mathematical analysis , virology , computer science , materials science , control (management) , population , geometry , environmental health , quantum mechanics , composite material , machine learning , artificial intelligence
Under the assumption that there is a time delay between the time target cells are contacted by the virus particles and the time the contacted cells become actively infected, we investigate the exponential stability of the noninfected equilibrium for a delayed HIV infection model with a nonlinear incidence rate. Compared with the global asymptotic stability analysis based on basic reproduction number, exponential stability analysis reveals the change range of various cells in different time periods.
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