[2] Yoichi Enatsu, Yukihiko Nakata, Yoshiaki Muroya,
Global stability for a class of discrete SIR epidemic models, Mathematical Biosciences and Engineering7 (2010), no. 2, 347-361. pdf
[3] Yoichi Enatsu, Yukihiko Nakata, Yoshiaki Muroya,
Global stability of SIR epidemic models with a wide class of nonlinear incidence rates and distributed delays, Discrete and Continuous Dynamical Systems B15 (2011), no. 1, 61-74. pdf
[4] Yoshiaki Muroya, Yoichi Enatsu, Yukihiko Nakata,
Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate, Journal of Mathematical Analysis and Applications377 (2011), no. 1, 1-14. pdf
[5] Yoshiaki Muroya, Yoichi Enatsu, Yukihiko Nakata,
Monotone iterative techniques to SIRS epidemic models with nonlinear incidence rates and distributed delays, Nonlinear Analysis: Real World Applications12 (2011), no. 4, 1897-1910. pdf
[7] Yoshiaki Muroya, Alfredo Bellen, Yoichi Enatsu, Yukihiko Nakata,
Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population, Nonlinear Analysis: Real World Applications13 (2012), no. 1, 258-274. pdf
[9] Yukihiko Nakata, Yoichi Enatsu, Yoshiaki Muroya,
Two types of condition for the global stability of delayed SIS epidemic models with nonlinear birth rate and disease induced death rate, International Journal of Biomathematics5 (2012) 1250009 (29 pages). pdf
[10] Yoichi Enatsu, Eleonora Messina, Yoshiaki Muroya, Yukihiko Nakata, Elvira Russo, Antonia Vecchio,
Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates, Applied Mathematics and Computation218 (2012), no. 9, 5327-5336. pdf
[11] Yoichi Enatsu, Yukihiko Nakata, Yoshiaki Muroya,
Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model, Nonlinear Analysis: Real World Applications13 (2012), no. 5, 2120-2133. pdf
[12] Yoichi Enatsu, Eleonora Messina, Yukihiko Nakata, Yoshiaki Muroya, Elvira Russo, Antonia Vecchio,
Global dynamics of a delayed SIRS epidemic model with a wide class of nonlinear incidence rates, Journal of Applied Mathematics and Computing39 (2012), no. 1-2, 15-34. pdf
[13] Yoichi Enatsu, Yukihiko Nakata, Yoshiaki Muroya,
Global stability of SIRS epidemic models with a class of nonlinear incidence rates and distributed delays, Acta Mathematica Scientia32B (2012), no. 3, 851-865. pdf
[14] Yoichi Enatsu, Yukihiko Nakata, Yoshiaki Muroya, Giuseppe Izzo, Antonia Vecchio,
Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates, Journal of Difference Equations and Applications18 (2012), no. 7, 1163-1181. pdf
[15] Yoichi Enatsu, Yukihiko Nakata, Yoshiaki Muroya,
Global stability for a discrete SIS epidemic model with immigration of infectives, Journal of Difference Equations and Applications18 (2012), no. 11, 1913-1924. pdf
[16] Yoshiaki Muroya, Yoichi Enatsu, Huaixing Li,
A note on the global stability of an SEIR epidemic model with constant latency time and infectious period, Discrete and Continuous Dynamical Systems B18 (2013), no. 1, 173-183. pdf
[17] Yukihiko Nakata, Yoichi Enatsu, Yoshiaki Muroya,
Complete global dynamics of a delayed viral infection model with lytic and nonlytic effectors, SeMA Journal60 (2012) 27-50. pdf
[18] Yoshiaki Muroya, Yoichi Enatsu, Toshikazu Kuniya,
Global stability for a multi-group SIRS epidemic model with varying population sizes, Nonlinear Analysis: Real World Applications14 (2013), no. 3, 1693-1704. pdf
[19] Yoshiaki Muroya, Yoichi Enatsu, Toshikazu Kuniya,
Global stability of extended multi-group sir epidemic models with patches through migration and cross patch infection, Acta Mathematica Scientia33 (2013), no. 2, 341-361. pdf
[20] Yoichi Enatsu, Yoshiaki Muroya,
A simple discrete-time analogue preserving the global stability of a continuous-time SIRS epidemic model, International Journal of Biomathematics6 (2013) 1350001 (17 pages). pdf
[21] Yoshiaki Muroya, Yoichi Enatsu, Huaixing Li,
Global stability of a delayed HTLV-I infection model with a class of nonlinear incidence rate and CTLs immune response, Applied Mathematics and Computation219 (2013), no. 21, 10559-10573. pdf
[22] Yoshiaki Muroya, Yoichi Enatsu,
A discrete-time analogue preserving the global stability of a continuous SEIS epidemic model, Journal of Difference Equations and Applications19 (2013), no. 9, 1463-1482. pdf
[23] Yoshiaki Muroya, Yoichi Enatsu, Huaixing Li,
Global stability of a delayed SIRS computer virus propagation model, International Journal of Computer Mathematics91 (2014), no. 3, 347-367. pdf
[24] Yoichi Enatsu, Yukihiko Nakata
Stability and bifurcation analysis of epidemic models with saturated incidence rates: an application to a nonmonotone incidence rate, Mathematical Biosciences and Engineering11 (2014), no. 4, 785-805. pdf
[25] Jinliang Wang, Jingmei Pang, Toshikazu Kuniya, Yoichi Enatsu
Global threshold dynamics in a five-dimensional virus model with cell-mediated, humoral immune responses and distributed delays, Applied Mathematics and Computation241 (2014), 298-316. pdf
[26] Toshikazu Kuniya, Yoshiaki Muroya, Yoichi Enatsu
Threshold dynamics of an SIR epidemic model with hybrid of multigroup and patch structures, Mathematical Biosciences and Engineering11 (2014), no. 6, 1375-1393. pdf
[27] Yoshiaki Muroya, Toshikazu Kuniya, Yoichi Enatsu
Global stability of a delayed multi-group SIRS epidemic model with nonlinear incidence rates and relapse of infection, Discrete and Continuous Dynamical Systems B20 (2015), no. 9, 3057-3091.
[28] Yukihiko Nakata, Yoichi Enatsu, Hisashi Inaba, Toshikazu Kuniya, Yoshiaki Muroya, Yasuhiro Takeuchi
Stability of epidemic models with waning immunity, SUT Journal of Mathematics50 (2014), no. 2, 205-245.
[31] Ryo Oizumi, Toshikazu Kuniya, Yoichi Enatsu,
Reconsideration of r/K selection theory using stochastic control theory and nonlinear structured population models, PLoS ONE11 (2016) No. 6, e0157715, doi:10.1371/journal.pone.0157715.
[32] Yoichi Enatsu, Jinliang Wang, Toshikazu Kuniya,
Impact of non-separable incidence rates on global dynamics of virus model with cell-mediated, humoral immune responses, Journal of Nonlinear Sciences and Applications10 (2017), no. 10, 5201-5218.
[33] Kei Fushimi, Yoichi Enatsu, Emiko Ishiwata,
Global stability of an SIS epidemic model with delays, Mathematical Methods in the Applied Sciences41 (2018), no. 13, 5345-5354.
[34] Yoichi Enatsu, Emiko Ishiwata, Takeo Ushijima,
Traveling wave solution for a diffusive simple epidemic model with a free boundary, Discrete and Continuous Dynamical Systems S14 (2021), no. 3, 835-850.
[35] Ryo Oizumi, Hisashi Inaba, Takenori Takada, Youichi Enatsu, Kensaku Kinjo,
Sensitivity analysis on the declining population in Japan: effects of prefecture-specific fertility and interregional migration, PLoS ONE11 (2022) No. 9, e0273817, doi:10.1371/journal.pone.0273817.
[36] Yoichi Enatsu, Jyotirmoy Roy, Malay Banerjee,
Hunting cooperation in a prey-predator model with maturation delay,
accepted in Journal of Biological Dynamics, doi:10.1080/17513758.2024.2332279.
(ii) Publications without peer-review: 6 papers
[1] 江夏 洋一, 中田行彦, 室谷義昭,
Lyapunov functional techniques on stability analysis for mathematical models,
Theory of Biomathematics and Its Applications VI (Kyoto, 2009), RIMS Kokyuroku1704 (2010), 120-127.
[3] 江夏 洋一,
Lyapunov functional techniques on the global stability of equilibria of SIS epidemic models with delays,
Analysis on non-equilibria and nonlinear phenomena: from the evolution equations point of view (Kyoto, 2011), RIMS Kokyuroku1792 (2011), 118-130.
[5] Yoichi Enatsu, Jinliang Wang, Toshikazu Kuniya,
Effect of cell-mediated, humoral immune responses on global dynamics of a delayed virus infection model,
実領域における常微分方程式の定性的理論とその応用 (Kyoto, 2014), 数理解析研究所講究録1959 (2015), 83-107.
[6] 江夏 洋一, 金森匡俊, 石渡恵美子,
蚊媒介感染症におけるボルバキアの感染抑制について
Theory of Biomathematics and Its Applications XIV (Kyoto, 2017), 数理解析研究所講究録2087 (2018), 41-50.
2. International presentations
(i) Oral session
10/2023 Semi wave solutions for a diffusive SI model with free boundary,
International Conference on Nonlinear Phenomena in Biology, Ecology, Physics and Mechanics (in honour of Professor Messoud Efendiev on the occasion of his 70th birthday),
Azerbaijan State University of Economics (UNEC), Baku, Azerbaijan.
09/2023 Dynamics of a prey-predator model with cooperative hunting among specialist predators,
The Fifth Workshop on Interdisciplinary Sciences (WIS 2023),
Kyushu University, Fukuoka, Japan (Online).
08/2023 Traveling wave solutions for an epidemic model with free boundary,
The 10th International Congress on Industrial and Applied Mathematics (ICIAM 2023),
Waseda University, Tokyo, Japan.
08/2022 Dynamics of a prey-predator model describing hunting cooperation,
The Eighth International Workshop on Biomathematics Modelling and Its Dynamical Analysis,
Tokyo University of Science, Tokyo, Japan (Online).
08/2019 Existence of semiwave for an SI epidemic model with a free boundary,
The 7th China-India-Japan-Korea International Conference on Mathematical Biology,
University of Science and Technology Beijing, Beijing, China.
07/2019 Dynamical behavior of an SIS epidemic model with delays,
Equadiff 2019,
Leiden University, Leiden, Netherlands.
05/2019 Existence of traveling wave for a diffusive SI model with free boundary,
The 6th International Workshop on Biomathematics Modelling and Its Dynamical Analysis,
Huaiyin Normal University, Huaian, China.
04/2019 Dynamical behavior of an SIS epidemic model with delays,
The 1st Hungary-Japan Workshop on Delay Equations and Mathematical Epidemiology,
University of Tokyo, Tokyo, Japan.
08/2018 Complete global stability of a delayed SIS epidemic model,
The 5th International Workshop on Biomathematics Modelling and Its Dynamical Analysis,
Heilongjiang University, Harbin, China.
07/2018 A prey-predator model with gestation period,
2018 Annual Meeting of the Society for Mathematical Biology & the Japanese Society for Mathematical Biology,
Sydney University, Sydney, Australia.
07/2018 A prey-predator model with gestation delay,
The 12th AIMS Conference on Dynamical Systems, Differential Equations and Application,
National Taiwan University, Taipei, Taiwan.
07/2018 Complete Global Stability of an SEIS Model with Delays,
The 12th AIMS Conference on Dynamical Systems, Differential Equations and Application,
National Taiwan University, Taipei, Taiwan.
03/2018 A prey-predator model with delays for consumption of predators,
International Conference on Mathematical Modeling for Computational Biosystems,
Indian Institute of Technology, Roorkie, India.
10/2017 Dynamics of a prey-predator model with delays for consumption of predators,
The 4th International Workshop on Biomathematics Modelling and Its Dynamical Analysis,
Kobe University, Kobe, Japan.
08/2017 Dynamics of epidemic models with a latent period,
China-India-Japan-Korea Mathematical Biology Colloquium,
Indian Institute of Technology, Kanpur, India.
07/2016 Stability of equilibria for epidemiological models with temporary acquired immunity,
The 11th AIMS Conference on Dynamical Systems, Differential Equations and Application,
Hyatt Regency Grand Cypress, Orlando, Florida, United States of America.
06/2016 Effect of waning immunity on asymptotic behavior of epidemic models,
2016 CMS Summer Meeting,
University of Alberta, Edmonton, Canada.
10/2015 Dynamics of disease transmission models with latent period,
Innovative Mathematical Modeling for the Analysis of Infectious Disease Data (IMAID2015),
Research Center for Zoonosis Control, Hokkaido University, Hokkaido, Japan.
08/2015 Applications of renewal equations to epidemic models with cyclic structures and its stability,
The 2nd International Workshop on Biomathematics Modelling and Its Dynamical Analysis,
Heilongjiang University, Harbin, China.
08/2015 Cyclic structures on epidemic models and its stability in view of renewal equations and delay equations,
The 8th International Congress on Industrial and Applied Mathematics,
China National Convention Center, Beijing, China.
07/2015 Loss of immunity on epidemiological models with infection age,
10th Colloquium on the Qualitative Theory of Differential Equations,
Bolyai Institute, University of Szeged, Szeged, Hungary.
07/2014 Influence of nonlinear incidence rates with delays for asymptotic stability of epidemic models,
The 10th AIMS Conference on Dynamical Systems, Differential Equations and Application,
The Universidad Autonoma de Madrid (Cantoblanco campus), Madrid, Spain.
01/2014 Stability and bifurcation for epidemic models with non-monotone incidence rates and delays,
International Workshop on Biomathematics Modelling and Its Dynamical Analysis, Heilongjiang University, Harbin, China.
10/2013 Threshold dynamics for compartmental epidemic models with delays and related problems,
2013 NIMS-KMRS PDE Conference on reaction diffusion equations for ecology and related problems,
KAIST (Korea Advanced Institute of Science and Technology), Daejeon, Korea.
09/2013 Influence of temporary immunity on the asymptotic behavior for compartmental models in epidemiology,
International workshop on epidemic dynamics and its stability analysis, China University of Geosciences, Wuhan, China.
05/2013 Monotonicity of the incidence function for disease transmission models with delays (Plenary Lectures),
Dynamical System Modeling and Stability Investigation, Taras Shevchenko National University of Kiev, Ukraine.
10/2012 Global stability of a positive equilibrium for delayed epidemic models and IVGTT models with nonlinear incidence rates,
GCOE Tutorial Workshop ``Biomathematics of Structured Populations" with a Mini-Symposium in Honor of Professor Yasuhiro Takeuchi, Tokyo (Tokyo University), Japan.
07/2012 Asymptotic behavior of solutions of epidemic models with delays,
The 9th AIMS Conference on Dynamical Systems, Differential Equations and Application,
Hyatt Regency Grand Cypress, Orlando, Florida, United States of America.
05/2012 Global stability analysis of delayed epidemic models with Lyapunov functionals and its applications,
China-Japan-Korea International Conference on Mathematical Biology, Pusan National University Sangnam International House, Korea.
07/2011 On the global stability of a positive equilibrium for delayed epidemic models with a class of nonlinear incidence rates,
International Conference on Differential and Difference Equations and Applications, Azores University, Portugal.
10/2010 Global asymptotic stability of SIRS models with a class of nonlinear incidence rates and distributed delays,
The Third China-Japan Colloquium of Mathematical Biology, Sea North Green Garden, Beijing, China.
05/2010 Global stability for a class of epidemic models with delays and a nonlinear incidence rate,
8th AIMS conference on Dynamical systems, Differential equations and Applications, Dresden, Germany.
03/2010 Global asymptotic stability for a class of epidemic models with delays,
International Workshop on Mathematical Fluid Dynamics, Tokyo (Waseda University), Japan.
09/2008 Permanence for $n$-dimensional nonautonomous Lotka-Volterra systems with loop structure,
International Conference on Boundary Value Problems: Mathematical Models in Engineering, Biology and Medicine, Santiago de Compostela, Spain.
08/2008 Nonlinear aspects of competitive four-dimensional Lotka-Volterra systems,
The Second China-Japan Colloquium of Mathematical Biology, Okayama (Okayama University), Japan.
(ii) Poster session
08/2012 Lyapunov functionals and global stability for epidemic models with delays,
Turing Symposium on Morphogenesis --Mathematical Approaches Sixty Years after Alan Turing--, Miyagi (Sendai International Center), Japan.
03/2012 Harmless delays for the global stability of a positive equilibrium of epidemic models,
Conference on Evolution Equations, Related Topics and Applications, Tokyo (Waseda University), Japan.
09/2009 Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates,
Conference on Evolution Equations, Related Topics and Applications, Munich, Germany.
3. Domestic presentations (in Japanese)
(0) Prize
09/2019 江夏 洋一, Global dynamics of epidemiological models with delays, 第29回日本数理生物学会年会, 第13回研究奨励賞, 東京工業大学
11/2014 江夏 洋一, Disease transmission dynamics for renewal equations and delay equations, Qualitative theory of ordinary differential equations in real domains and its applications, 京都大学
11/2013 江夏 洋一, Stability switch of an endemic equilibrium of epidemic models with monotone or non-monotone incidence rates and delays, 第10回生物数学の理論とその応用 (RIMS研究集会), 京都大学
09/2013 江夏 洋一, Global dynamics of epidemic models for vector-borne diseases and free-boundary problems, 第23回日本数理生物学会年会 (JSMB 2013), 静岡大学