Uniform Persistence and Global Attractivity in a Delayed Virus Dynamic Model with Apoptosis and Both Virus-to-Cell and Cell-to-Cell Infections

Meng Li, Ke Guo and Wanbiao Ma
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Meng Li: School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China
Ke Guo: School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China
Wanbiao Ma: School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China

Mathematics, 2022, vol. 10, issue 6, 1-16

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 R 0 > 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.

Keywords: virus dynamic model; delay; uniform persistence; global attractivity; Lyapunov functional (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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