Global stability of pathogen-immune dynamics with absorption

Tsuyoshi Kajiwara; Toru Sasaki

doi:10.1080/17513750903051989

Global stability of pathogen-immune dynamics with absorption

Tsuyoshi Kajiwara, Toru Sasaki

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

12 Citations (Scopus)

Abstract

In this paper, we consider the global stability of the models which incorporate humoural immunity or cellmediated immunity.We consider the effect of loss of a pathogen, which is called the absorption effect when it infects an uninfected cells.We construct Lyapunov functions for these models under some conditions of parameters, and prove the global stability of the interior equilibria. It is impossible to remove the condition of parameters for the model incorporating humoural immunity.

Original language	English
Pages (from-to)	258-269
Number of pages	12
Journal	Journal of Biological Dynamics
Volume	4
Issue number	3
DOIs	https://doi.org/10.1080/17513750903051989
Publication status	Published - May 2010

Keywords

Absorption
Global stability
Immunity
Lyapunov function

ASJC Scopus subject areas

Ecology, Evolution, Behavior and Systematics
Ecology

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10.1080/17513750903051989

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abstract = "In this paper, we consider the global stability of the models which incorporate humoural immunity or cellmediated immunity.We consider the effect of loss of a pathogen, which is called the absorption effect when it infects an uninfected cells.We construct Lyapunov functions for these models under some conditions of parameters, and prove the global stability of the interior equilibria. It is impossible to remove the condition of parameters for the model incorporating humoural immunity.",

keywords = "Absorption, Global stability, Immunity, Lyapunov function",

author = "Tsuyoshi Kajiwara and Toru Sasaki",

note = "Funding Information: The authors express their thanks to ProfessorYasuhiro Takeuchi for his valuable comments. This work is partly supported by Grants-in-Aid for Scientific Research (18540122) from Japan Society for the Promotion of Science. Copyright: Copyright 2013 Elsevier B.V., All rights reserved.",

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N2 - In this paper, we consider the global stability of the models which incorporate humoural immunity or cellmediated immunity.We consider the effect of loss of a pathogen, which is called the absorption effect when it infects an uninfected cells.We construct Lyapunov functions for these models under some conditions of parameters, and prove the global stability of the interior equilibria. It is impossible to remove the condition of parameters for the model incorporating humoural immunity.

AB - In this paper, we consider the global stability of the models which incorporate humoural immunity or cellmediated immunity.We consider the effect of loss of a pathogen, which is called the absorption effect when it infects an uninfected cells.We construct Lyapunov functions for these models under some conditions of parameters, and prove the global stability of the interior equilibria. It is impossible to remove the condition of parameters for the model incorporating humoural immunity.

KW - Absorption

KW - Global stability

KW - Immunity

KW - Lyapunov function

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Global stability of pathogen-immune dynamics with absorption

Abstract

Keywords

ASJC Scopus subject areas

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