Global stability for an age-structured multistrain virus dynamics model with humoral immunity

Tsuyoshi Kajiwara; Toru Sasaki; Yoji Otani

doi:10.1007/s12190-019-01283-w

Global stability for an age-structured multistrain virus dynamics model with humoral immunity

Tsuyoshi Kajiwara, Toru Sasaki, Yoji Otani

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this paper, we present an age-structured multistrain mathematical model for infectious disease in vivo with infection age of cells. The model considers strain specific immune variables and the effect of absorption of pathogens into uninfected cells. By the construction of a Lyapunov functional, we prove the global stability results of the model, and show that several strains can survive at an equilibrium. We present full mathematical details of the proof of the global stability. The proof contains persistence arguments.

Original language	English
Pages (from-to)	239-279
Number of pages	41
Journal	Journal of Applied Mathematics and Computing
Volume	62
Issue number	1-2
DOIs	https://doi.org/10.1007/s12190-019-01283-w
Publication status	Published - Feb 1 2020

Keywords

Age-structured model
Global stability
Immunity
Lyapunov functional
Multistrain

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1007/s12190-019-01283-w

Cite this

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abstract = "In this paper, we present an age-structured multistrain mathematical model for infectious disease in vivo with infection age of cells. The model considers strain specific immune variables and the effect of absorption of pathogens into uninfected cells. By the construction of a Lyapunov functional, we prove the global stability results of the model, and show that several strains can survive at an equilibrium. We present full mathematical details of the proof of the global stability. The proof contains persistence arguments.",

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AU - Kajiwara, Tsuyoshi

AU - Sasaki, Toru

AU - Otani, Yoji

N1 - Funding Information: The authors would like to thank the editor and anonymous referees for very helpful suggestions and comments which led to improvement of our original manuscripts. This work was supported by JSPS KAKENHI Grant Number JP17K05365. Publisher Copyright: © 2019, Korean Society for Informatics and Computational Applied Mathematics.

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N2 - In this paper, we present an age-structured multistrain mathematical model for infectious disease in vivo with infection age of cells. The model considers strain specific immune variables and the effect of absorption of pathogens into uninfected cells. By the construction of a Lyapunov functional, we prove the global stability results of the model, and show that several strains can survive at an equilibrium. We present full mathematical details of the proof of the global stability. The proof contains persistence arguments.

AB - In this paper, we present an age-structured multistrain mathematical model for infectious disease in vivo with infection age of cells. The model considers strain specific immune variables and the effect of absorption of pathogens into uninfected cells. By the construction of a Lyapunov functional, we prove the global stability results of the model, and show that several strains can survive at an equilibrium. We present full mathematical details of the proof of the global stability. The proof contains persistence arguments.

KW - Age-structured model

KW - Global stability

KW - Immunity

KW - Lyapunov functional

KW - Multistrain

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Global stability for an age-structured multistrain virus dynamics model with humoral immunity

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

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