The Stability of Virus Dynamics Model with Beddington-DeAngelis Functional Response and Distributed Time Delay

ZHOU Xinran; ZHENG Tao; ZHANG Long

doi:10.6054/j.jscnun.2020084

Journal of South China Normal University (Natural Science Edition) > 2020 > 52(5): 118-123. > DOI: 10.6054/j.jscnun.2020084

ZHOU Xinran, ZHENG Tao, ZHANG Long. The Stability of Virus Dynamics Model with Beddington-DeAngelis Functional Response and Distributed Time Delay[J]. Journal of South China Normal University (Natural Science Edition), 2020, 52(5): 118-123. DOI: 10.6054/j.jscnun.2020084

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The Stability of Virus Dynamics Model with Beddington-DeAngelis Functional Response and Distributed Time Delay

College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China

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Received Date: January 20, 2020
Available Online: November 02, 2020

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Abstract

A class of virus dynamics model with Beddington-DeAngelis functional response and distributed delay is established on the basis of the common virus time delay model to describe the phenomenon of virus infection in cells more accurately. Firstly, the positivity and boundedness of the solution of the model are discussed, and the basic reproduction number R₀ of the model is obtained. Then, the local and global stability of the infection-free equilibrium of the model are proved. Further, numerical simulations are demonstrated to verify the theoretical results.
- Beddington-DeAngelis,
- distributed delay,
- basic reproduction number,
- Lyapunov function,
- stability

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