Research field (3):
Applied mathematics and statistics
, Basic mathematics
, Mathematical analysis
Research keywords (3):
Applied Analysis
, Functional Equations
, Biomathematics
Research theme for competitive and other funds (16):
2017 - 2023 Analysis of functional equations describing dynamics of infectious disease
2010 - 2015 The analysis of mathematical models describing dynamics of infection
2010 - 2014 Global stability for the system of ordinary differential equations with time delays and its applications to medicine
2006 - 2009 Qualitative theory of differential equations describing dynamics of infectious disease
2004 - 2006 Study of asymptotic theory for representations of symmetric groups from the viewpoint of scaling limits for probability models
2003 - 2006 Research for Hilbert C*-bimodules and its application to analysis of discrete dynamical systems
2003 - 2005 Study of equivariant homology surgery theory and its applications
2001 - 2003 Harmonic analysis on graphs and discrete groups, and scaling limit for probability models
2001 - 2003 Studies on the transmission model for vivax malaria and its simulations
1999 - 2000 Harmonic analysis on discrete structures and its applications to classical and quantum probability models
1997 - 1999 Study of control theory of the fixed point sets on spheres
1997 - 1998 Research for Hilbert C^*-bimodules and associated C^*-algebras
1996 - 1998 Models for Rhythmic Phenomena for Living Bodies and Their Applications
1996 - 1996 ヒルベルト双加群によるC^*環の指数理論の研究
1995 - 1995 心臓の拍動に関する数学的理論における興奮系を通しての複数振動子の同調
1994 - 1994 非線型双曲型偏微分方程式の解の特異性の伝播の研究
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Papers (20):
Tsuyoshi Kajiwara, Toru Sasaki, Yoji Otani. Global stability of an age-structured infection model in vivo with two compartments and two routes. Mathematical Biosciences and Engineering. 2022. 19. 11. 11047-11070
Tsuyoshi Kajiwara, Toru Sasaki, Yoji Otani. Global stability for an age-structured multistrain virus dynamics model with humoral immunity. Journal of Applied Mathematics and Computing. 2020. 62. 1-2. 239-279
Toru Sasaki, Takashi Suzuki. Asymptotic behaviour of the solutions to a virus dynamics model with diffusion. Discrete and Continuous Dynamical Systems - Series B. 2018. 23. 2. 525-541
Yoji Otani, Tsuyoshi Kajiwara, Toru Sasaki. LYAPUNOV FUNCTIONALS FOR MULTISTRAIN MODELS WITH INFINITE DELAY. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. 2017. 22. 2. 507-536
Global stability of age-structured models of infectious disease in vivo (Theory of Biomathematics and Its Applications XII : Mathematical and experimental approach to clarify patterns in a transition process). 2016. 1994. 225-232
Lyapunov Functionals for Virus-Immune Multistrain Models with Delay (Theory of Biomathematics and Its Applications XII : Mathematical and experimental approach to clarify patterns in a transition process). 2016. 1994. 58-67
THE MATHEMATICAL SOCIETY OF JAPAN
, THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
, THE JAPANESE SOCIETY FOR MATHEMATICAL BIOLOGY
, THE ECOLOGICAL SOCIETY OF JAPAN