Publication List

論文

2024年

  1. Y. Nakata, Period-two solution for a class of distributed delay equations. Funkcialaj Ekvacioj (accepted)
  2. Y. Ichida, Y. Nakata, Global dynamics of a simple model for wild and sterile mosquitoes. Mathematical Biosciences & Engineering, 21 (9) (2024) pp. 7016-7039.

2023年

  1. S.K. Sourav*, Y. Takeuchi, Y. Nakata, A simple model to control the wild mosquito with sterile release. Journal of Mathematocal Analysis and Applications, 531(1) (2024) Paper No. 127828.

2022年

  1. T. Ishiwata, Y. Nakata*, Correction to: A note on blow-up solutions for a scalar differential equation with a discrete delay. Japan Journal of Industrial and Applied Mathematics, 39 (3) (2022), pp. 1109.

  2. T. Ishiwata, Y. Nakata*, A note on blow-up solutions for a scalar differential equation with a discrete delay. Japan Journal of Industrial and Applied Mathematics, 38 (3) (2022) 3, pp. 959--971.

  3. R. Omori, R. Matsuyama, Y. Nakata, M. Furihata, H. Kasai, Estimating the comprehensive overview of Oncorhynchus masou virus disease outbreak in Rainbow trout using mortality data: Coupling data on experimental infection and field observation by mathematical modeling, Aquaculture, 554 (30) (2022) 738165

2021年

  1. A. Eremin, E. Ishiwata, T. Ishiwata*, Y. Nakata, Delay-induced blow-up in a planar oscillation model. Japan Journal of Industrial and Applied Mathematics, 38 (3) (2021) pp. 1037-1061.

  2. L. Yang, Y. Nakata*, Note on the uniqueness of an endemic equilibrium of an epidemic model with boosting of immunity. Journal of Biological Systems 29 (2) (2021) pp. 291-302.

2020年

  1. R. Omori, R. Matsuyama, Y. Nakata, The age distribution of mortality from novel coronavirus disease (COVID-19) suggests no large difference of susceptibility by age. Scientific Reports 10 Article number: 16642

  2. Y. Nakata, An explicit periodic solution of a delay differential equation. Journal of Dynamics and Differential Equations 32(1) (2020), pp. 163-179.

  3. H. Tsujimoto*, Y. Tsujimoto, Y. Nakata, T. Fujii, S. Takahashi, M. Akazawa, Y. Kataoka, Pharmacological interventions for preventing clotting of extracorporeal circuits during continuous renal replacement therapy, Cochrane Database of Systematic Reviews 2020, Issue 12. Art. No.: CD012467

2010年〜2019年

2019年

  1. Y. Nakata*, R. Omori, Epidemic dynamics with a time-varying susceptibility due to repeated infections. Journal of Biological Dynamics 13(1) (2019) pp. 567-585.

  2. Y. Nakata*, R. Omori*, The change of susceptibility by reinfection can induce failure to predict outbreak potential by R0. Mathematical Biosciences and Engineering, 16(2) (2019) pp. 813-830.

  3. Ph. Getto, M. Gyllenberg, Y. Nakata, F. Scarabe*, Stability analysis of a state-dependent delay differential equation for cell maturation: Analytical and numerical methods. Journal of Mathematical Biology 79(1) (2019) pp. 281-328.

  4. Y. Tsujimoto, H. Tsujimoto, Y. Nakata, Y. Kataoka, M. Kimachi, S. Shimizu, T. Ikenoue, S. Fukuma, Y. Yamamoto, S. Fukuhara, Dialysate temperature reduction for intradialytic hypotension for people with chronic kidney disease requiring haemodialysis. Cochrane Database of Systematic Reviews 2019 Issue 7. Art. No.: CD012598.

2018年

  1. Y. Nakata*, G. Röst, Global stability of an SIS epidemic model with a finite infectious period. Differential and Integral Equations, 31(3/4) (2018) pp. 161-172

  2. M. Sekiguchi*, E. Ishiwata, Y. Nakata, Dynamics of an ultra-discrete SIR epidemic model with time delay. Mathematical Biosciences and Engineering, 15(3) pp. 653-666 (2018)

  3. M. Sekiguchi*, E. Ishiwata, Y. Nakata, Convergence of a logistic type ultra-discrete model. Discrete Dynamics in Nature and Society, vol. 2017, Article ID 7893049 (2017)

  4. I. Györi, Y. Nakata, G. Röst*, Unbounded and blow-up solutions for a delay logistic equation with positive feedback. Communications on Pure and Applied Analysis, 17(6) (2018) pp. 2845-2854

  5. S. Ikegaki, H. Matsumoto, Y. Kataoka, K. Hirano, H. Tsujimoto, Y. Nakata, M. Katsura,　Thirdline systemic chemotherapy for small cell lung cancer. The Cochrane Database of Systematic Reviews 2018 Issue 5 CD013025.

2016年

  1. H. Tsujimoto*, Y. Kataoka, Y. Tsujimoto, Y. Nakata, M. Uemura, Ultrasonography for confirmation of gastric tube placement (protocol). Cochrane Database of Systematic Reviews 2016, Issue 2. Art. No.: CD012083.

  2. Y. Nakata*, Note on stability conditions for structured population dynamics models, Electron. J. Qual. Theory Differ. Equ. 78 (2016) pp. 1-14.

2015年

  1. Y. Nakata*, G. Röst, Global analysis for spread of infectious diseases via transportation networks. Journal of Mathematical Biology 70 (2015) pp. 1411-1456

  2. M.V. Barbarossa, A. Dénes, G. Kiss, Y. Nakata, G. Röst*, Z. Vizi, Transmission dynamics and final epidemic size of Ebola Virus Disease outbreaks with varying interventions. PLOS ONE (2015) 10(7):e0131398

  3. O. Diekmann, Ph. Getto, Y. Nakata*, On the characteristic equation (lambda = alpha_{1} + (alpha_{2} + alpha_{3}lambda)e^{- lambda}) and its use in the context of a cell population model. Journal of Mathematical Biology 72 (4) (2015) pp 877-908

  4. R. Omori*, Y. Nakata, H. L. Tessmer, S. Suzuki, K. Shibayama, The determinant of periodicity in Mycoplasma pneumoniae incidence: an insight from mathematical modeling. Scientific Reports 5, 14473 (2015)

2014年

  1. Y. Enatsu, Y. Nakata*, Stability and bifurcation analysis of epidemic models with saturated incidence rates: an application to a nonmonotone incidence rate. Mathematical Biosciences and Engineering 11 (4) (2014) pp. 785-805

  2. T. Alarcón, Ph. Getto*, Y. Nakata, Stability analysis of a renewal equation for cell population dynamics with quiescence. SIAM Journal on Applied Mathematics 74 (4) (2014) pp. 1266-1297

  3. Y. Nakata*, Y. Enatsu, H. Inaba, T. Kuniya, Y. Muroya, Y. Takeuchi, Stability of epidemic models with waning immunity, SUT Journal of Mathematics 50 (2) (2014) pp. 205-245

2013年

  1. Ph. Getto, A. Marciniak-Czochra, Y. Nakata*, M. del Mar Vivanco, Global dynamics of two-compartment models for cell production systems with regulatory mechanisms. Mathematical Biosciences 245 (2) (2013) pp. 258-268

2012年

  1. Y. Muroya*, A. Bellen, Y. Enatsu, Y. Nakata, Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population. Nonlinear Analysis Series B: Real World Applications 13 (1) (2012) pp. 258-274

  2. Y. Nakata*, Y. Enatsu, Y. 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 Biomathematics 5 (1) (2012) 1250009

  3. Y. Enatsu*, E. Messina, Y. Muroya, Y. Nakata, E. Russo, A. Vecchio, Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates. Applied Mathematics and Computation 218 (9) (2012) pp. 5327-5336

  4. K. Ishihara, Y. Nakata*, On a generalization of the global attractivity for a periodically forced Pielou’s equation. Journal of Difference Equations and Applications 18 (3) (2012) pp. 375-396.

  5. T. Kuniya*, Y. Nakata, Permanence and extinction for a nonautonomous SEIRS epidemic model. Applied Mathematics and Computations 218 (18) (2012) pp. 9321-9331.

  6. Y. Enatsu*, E. Messina, Y. Nakata, Y. Muroya, E. Russo, A. Vecchio, Global dynamics of a delayed SIRS epidemic model with a wideclass of nonlinear incidence rates. Journal of Applied Mathematics and Computing 39 (1) (2012) pp. 15-34.

  7. Y. Enatsu*, Y. Nakata, Y. Muroya, Global stability of SIRS epidemic models with a class of nonlinear incidence rates and distributed delays. Acta Mathematica Scientia 32 (3) (2012) pp. 851-865.

  8. Y. Enatsu*, Y. Nakata, Y. Muroya, G. Izzo, A. Vecchio, Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates. Journal of Difference Equations and Applications 18 (7) (2012) pp. 1163-1181.

  9. Y. Enatsu*, Y. Nakata, Y. Muroya, Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model. Nonlinear Analysis Series B: Real World Applications 13 (5) (2012) pp. 2120-2133.

  10. Y. Enatsu*, Y. Nakata, Y. Muroya, Global stability for a discrete SIS epidemic model with immigration of infectives. Journal of Difference Equations and Applications 18 (11) (2012) pp. 1913-1924.

  11. Y. Nakata*, Y. Enatsu, Y. Muroya, Complete global dynamics of a delayed viral infection model with lytic and nonlytic effectors. Sociedad Española de Matemática Aplicada (SeMA) Journal 60 (2012) pp. 27-50.

2011年

  1. Y. Nakata*, Global dynamics of cell mediated immunity in viral infection models with distributed delays. Journal of Mathematical Analysis and Applications 375 (1) (2011) pp. 14-27.

  2. Y. Enatsu*, Y. Nakata, Y. Muroya, Global stability of SIR epidemic models with a wide class of nonlinear incidence rates and distributed delays. Journal of Discrete and Continuous Dynamical System - Series B 15 (1) (2011) pp. 61-74.

  3. Y. Muroya*, Y. Enatsu, Y. Nakata, Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate. Journal of Mathematical Analysis and Applications 377 (1) (2011) pp. 1-14.

  4. Y. Nakata*, Global dynamics of a viral infection model with a latent period and Beddington-DeAngelis response. Nonlinear Analysis Series A: Theory, Methods and Applications 74 (9) (2011) pp. 2929-2940.

  5. Y. Muroya*, Y. Enatsu, Y. Nakata, Monotone iterative techniques to SIRS epidemic models with nonlinear incidence rates and distributed delays. Nonlinear Analysis Series B: Real World Applications 12 (4) (2011) pp. 1897-1910.

  6. Y. Muroya*, Y. Nakata, G. Izzo, A. Vecchio, Permanence and global stability of a class of discrete epidemic models. Nonlinear Analysis Series B: Real World Applications 12 (4) (2011) pp. 2105-2117.

  7. Y. Nakata*, On the global stability of a delayed epidemic model with transport-related infection. Nonlinear Analysis Series B: Real World Applications 12 (6) (2011) pp. 3028-3034.

2010年

  1. Y. Nakata*, Y. Muroya, Permanence for nonautonomous Lotka-Volterra cooperative systems with delays. Nonlinear Analysis Series B: Real World Applications 11 (1) (2010) pp. 528-534.

  2. H. Li, Y. Muroya*, Y. Nakata, R. Yuan, Global stability of nonautonomous logistic equations with a piecewise constant delay. Nonlinear Analysis Series B: Real World Applications 11 (3) (2010) pp. 2115-2126.

  3. Y. Nakata*, T. Kuniya, Global dynamics of a class of SEIRS epidemic models in a periodic environment. Journal of Mathematical Analysis and Applications 363 (1) (2010) pp. 230-237.

  4. Y. Enatsu*, Y. Nakata, Y. Muroya, Global stability for a class of discrete SIR epidemic models. Mathematical Biosciences and Engineering 7 (2) (2010) pp. 347-361.

  5. Y. Nakata*, Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments. Nonlinear Analysis Series A: Theory, Methods and Applications 73 (10) (2010) pp. 3179-3194.

  6. E. Messina, Y. Muroya, Y. Nakata*, E. Russo, A. Vecchio, An affirmative answer to “Gopalsamy and Liu’s conjecture” on population models with multiple piecewise constant arguments. International Journal of Qualitative Theory of Differential Equations with Applications 4 (1) (2010) pp. 1-20.

会議紀要（査読有）

  1. Y. Nakata*, Existence of a period two solution of a delay differential equation. Discrete & Continuous Dynamical Systems Series S, Issue on recent topics in material, computer and life sciences, 14 (2021), no. 3, 1103–1110.
2008年〜2015年

  1. Y. Nakata*, R. Omori, Delay equation formulation for an epidemic model with waning immunity: an application to mycoplasma pneumonia. IFAC-Papers On Line 48(18) (2015) pp. 132–135.

  2. Y. Nakata, G. Röst*, Global dynamics of a delay differential system of a two-patch SIS-model with transport-related infections. Mathematica Bohemica. 140 (2) (2015) pp. 171-193

  3. K. Nah*, Y. Nakata, G. Röst, Malaria dynamics with long incubation period in hosts. Computers & Mathematics with Applications 68 (9) (2014) pp. 915-930 BIOMATH2013 Special issue

  4. Y. Nakata*, Ph. Getto, A. Marciniak-Czochra, T. Alarcón, Stability analysis of multi-compartment models for cell production systems. Journal of Biological Dynamics 6 (2012) pp. 2-18 Special Issue: Evolution Equations and Mathematical Biology Symposium, 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Technical University of Dresden, Germany, 25-28 May 2010

  5. Y. Nakata*, Y. Enatsu, Y. Muroya, On the global stability of an SIRS epidemic model with distributed delays. Discrete and Continuous Dynamical System - Series B supplement (2011) pp. 1119-1128 Special issue: AIMS Proceedings

  6. Y. Nakata*, Permanence for Lotka-Volterra cooperative system with several delays. International Journal of Biomathematics 2 (3) (2009) pp. 267-285 Special issue: The Second China-Japan Colloquium of Mathematical Biology

  7. Y. Nakata*, M. Kuroda, Y. Muroya, Contractivity for nonautonomous logistic equation with piecewise constant delay. AIP Conference Proceedings 1124 (2009) pp. 254-263: International Conference on Boundary Value Problems 2008: Mathematical Models in Engineering, Biology and Medicine.

講究録

著書

著書（翻訳）

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