Uniform Persistence and Global Attractivity in a Delayed Virus Dynamic Model with Apoptosis and Both Virus-to-Cell and Cell-to-Cell Infections
Mathematics
; 10(6):975, 2022.
Article
in English
| ProQuest Central | ID: covidwho-1760760
ABSTRACT
In this paper, we study the global dynamics of a delayed virus dynamics model with apoptosis and both virus-to-cell and cell-to-cell infections. When the basic reproduction number R0>1, we obtain the uniform persistence of the model, and give some explicit expressions of the ultimate upper and lower bounds of any positive solution of the model. In addition, by constructing the appropriate Lyapunov functionals, we obtain some sufficient conditions for the global attractivity of the disease-free equilibrium and the chronic infection equilibrium of the model. Our results extend existing related works.
Mathematics; virus dynamic model; delay; uniform persistence; global attractivity; Lyapunov functional; Infections; Lower bounds; Apoptosis; Viruses; Human immunodeficiency virus--HIV; Gene expression; Dynamic tests; Viral infections; Dynamic models; Severe acute respiratory syndrome coronavirus 2; Equilibrium
Full text:
Available
Collection:
Databases of international organizations
Database:
ProQuest Central
Language:
English
Journal:
Mathematics
Year:
2022
Document Type:
Article
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