Researcher Information - NAKATA Yukihiko |

NAKATA Yukihiko

Department / Course

Aoyama Gakuin University College of Science and Engineering Department of Mathematical Sciences

Job Associate Professor

Book and thesis
1.	Papers	A note on blow-up solutions for a scalar differential equation with a discrete delay Japan Journal of Industrial and Applied Mathematics 39 (3),pp.959-971 (Co-authored) 2022
2.	Papers	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),pp.1109-1109 (Co-authored) 2022
3.	Papers	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,pp.738165 (Co-authored) 2022
4.	Papers	Delay-induced blow-up in a planar oscillation model Japan Journal of Industrial and Applied Mathematics 38 (3),pp.1037-1061 (Co-authored) 2021
5.	Papers	Note on the uniqueness of an endemic equilibrium of an epidemic model with boosting of immunity Journal of Biological Systems 29 (02),pp.291-302 (Co-authored) 2021
6.	Papers	An explicit periodic solution of a delay differential equation Journal of Dynamics and Differential Equations 32 (1),pp.163-179 (Sole-authored) 2020
7.	Papers	Pharmacological interventions for preventing clotting of extracorporeal circuits during continuous renal replacement therapy Cochrane Database of Systematic Reviews (12),pp.CD012467 (Co-authored) 2020
8.	Papers	The age distribution of mortality from novel coronavirus disease (COVID-19) suggests no large difference of susceptibility by age Scientific Reports 10 (1),pp.16642 (Co-authored) 2020
9.	Papers	Dialysate temperature reduction for intradialytic hypotension for people with chronic kidney disease requiring haemodialysis (Co-authored) 2019
10.	Papers	Epidemic dynamics with a time-varying susceptibility due to repeated infections Journal of Biological Dynamics 13 (1),pp.567-585 (Co-authored) 2019
11.	Papers	Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods Journal of Mathematical Biology 79 (1),pp.281-328 (Co-authored) 2019
12.	Papers	The change of susceptibility following infection can induce failure to predict outbreak potential by $\mathcal{R}_{0}$ Mathematical Biosciences and Engineering 16 (2),pp.813-830 (Co-authored) 2019
13.	Papers	Dynamics of an ultra-discrete SIR epidemic model with time delay Mathematical Biosciences and Engineering 15,pp.653-666 (Co-authored) 2018
14.	Papers	Global stability of an SIS epidemic model with a finite infectious period Differential Integral Equations 31,pp.161-172 (Co-authored) 2018
15.	Papers	Third‐line systemic chemotherapy for small cell lung cancer Cochrane Database of Systematic Reviews (Co-authored) 2018
16.	Papers	Unbounded and blow-up solutions for a delay logistic equation with positive feedback Communications on Pure & Applied Analysis 17 (6),pp.2845-2854 (Co-authored) 2018
17.	Papers	Delay-induced blow-up in an oscillation model (Succession and Innovation of Studies on ODEs in Real Domains),pp.18-24 (Co-authored) 2018
18.	Papers	Convergence of a logistic type ultra-discrete model 2017,pp.7893049 (Co-authored) 2017
19.	Papers	Ultrasonography for confirmation of gastric tube placement Cochrane Database of Systematic Review (Co-authored) 2017
20.	Papers	Note on stability conditions for structured population dynamics models Electronic Journal of Qualitative Theory of Differential Equations 78,pp.1-14 (Sole-authored) 2016
21.	Papers	Note on stability of an SIRS epidemic model 数理解析研究所講究録 1994,pp.6-11 (Sole-authored) 2016
22.	Papers	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),pp.877-908 (Co-authored) 2016
23.	Papers	Delay equation formulation for an epidemic model with waning immunity: an application to mycoplasma pneumoniae IFAC-PapersOnLine 48 (18),pp.132-135 (Co-authored) 2015
24.	Papers	Global analysis for spread of infectious diseases via transportation networks Journal of Mathematical Biology 70,pp.1411-1456 (Co-authored) 2015
25.	Papers	Global dynamics of a delay differential system of a two-patch SIS-model with transport-related infections Mathematica Bohemica 140 (2),pp.171-193 (Co-authored) 2015
26.	Papers	The determinant of periodicity in Mycoplasma pneumoniae incidence: an insight from mathematical modelling Scientific Reports 5 (1),pp.14473 (Co-authored) 2015
27.	Papers	Transmission dynamics and final epidemic size of Ebola Virus Disease outbreaks with varying interventions PLOS ONE 10 (7),pp.e0131398 (Co-authored) 2015
28.	Papers	Visualisation of stability regions for logistic difference equations with multiple delays 数理解析研究所講究録 (1937),pp.32-41 (Co-authored) 2015
29.	Papers	Malaria dynamics with long incubation period in hosts 68 (9),pp.915-930 (Co-authored) 2014
30.	Papers	Stability analysis of a renewal equation for cell population dynamics with quiescence SIAM Journal on Applied Mathematics 74 (4),pp.1266-1297 (Co-authored) 2014
31.	Papers	Stability and bifurcation analysis of epidemic models with saturated incidence rates: An application to a nonmonotone incidence rate Mathematical Biosciences and Engineering 11 (4),pp.785-805 (Co-authored) 2014
32.	Papers	Stability of epidemic models with waning immunity SUT Journal of Mathematics 50 (2),pp.205-245 (Co-authored) 2014
33.	Papers	Global dynamics of two-compartment models for cell production systems with regulatory mechanisms Mathematical Biosciences 245 (2),pp.258-268 (Co-authored) 2013
34.	Papers	Complete global dynamics of a delayed viral infection model with lytic and nonlytic effectors SeMA Journal 60 (1),pp.27-50 (Co-authored) 2012
35.	Papers	Global dynamics of a delayed SIRS epidemic model with a wide class of nonlinear incidence rates Journal of Applied Mathematics and Computing 39,pp.15-34 (Co-authored) 2012
36.	Papers	Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates Journal of Difference Equations and Applications 18 (7),pp.1163-1181 (Co-authored) 2012
37.	Papers	Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population Nonlinear Analysis: Real World Applications 13 (1),pp.258-274 (Co-authored) 2012
38.	Papers	Global stability for a discrete SIS epidemic model with immigration of infectives Journal of Difference Equations and Applications 18 (11),pp.1913-1924 (Co-authored) 2012
39.	Papers	Global stability of SIRS epidemic models with a class of nonlinear incidence rates and distributed delays Acta Mathematica Scientia 32 (3),pp.851-865 (Co-authored) 2012
40.	Papers	Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model Nonlinear Analysis: Real World Applications 13 (5),pp.2120-2133 (Co-authored) 2012
41.	Papers	On a generalization of the global attractivity for a periodically forced Pielou's equation 18 (3),pp.375-396 (Co-authored) 2012
42.	Papers	Permanence and extinction for a nonautonomous SEIRS epidemic model Applied Mathematics and Computation 218 (18),pp.9321-9331 (Co-authored) 2012
43.	Papers	Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates Applied Mathematics and Computation 218 (9),pp.5327-5336 (Co-authored) 2012
44.	Papers	Stability analysis of multi-compartment models for cell production systems Journal of Biological Dynamics 6 (sup1),pp.2-18 (Co-authored) 2012
45.	Papers	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 05 (01),pp.1250009 (Co-authored) 2012
46.	Papers	Global dynamics of a cell mediated immunity in viral infection models with distributed delays Journal of Mathematical Analysis and Applications 375 (1),pp.14-27 (Co-authored) 2011
47.	Papers	Global dynamics of a viral infection model with a latent period and Beddington–DeAngelis response Nonlinear Analysis: Theory, Methods & Applications 74 (9),pp.2929-2940 (Sole-authored) 2011
48.	Papers	Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate Journal of Mathematical Analysis and Applications 377 (1),pp.1-14 (Co-authored) 2011
49.	Papers	Global stability of SIR epidemic models with a wide class of nonlinear incidence rates and distributed delays Discrete & Continuous Dynamical Systems - B 15 (1),pp.61-74 (Co-authored) 2011
50.	Papers	Monotone iterative techniques to SIRS epidemic models with nonlinear incidence rates and distributed delays Nonlinear Analysis: Real World Applications 12 (4),pp.1897-1910 (Co-authored) 2011
51.	Papers	On the global stability of a delayed epidemic model with transport-related infection Nonlinear Analysis: Real World Applications 12 (6),pp.3028-3034 (Sole-authored) 2011
52.	Papers	Permanence and global stability of a class of discrete epidemic models Nonlinear Analysis: Real World Applications 12 (4),pp.2105-2117 (Co-authored) 2011
53.	Papers	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 and Applications 4 (1),pp.1-20 (Co-authored) 2010
54.	Papers	Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments Nonlinear Analysis: Theory, Methods & Applications 73 (10),pp.3179-3194 (Sole-authored) 2010
55.	Papers	Global dynamics of a class of SEIRS epidemic models in a periodic environment Journal of Mathematical Analysis and Applications 363 (1),pp.230-237 (Co-authored) 2010
56.	Papers	Global stability for a class of discrete SIR epidemic models Mathematical Biosciences and Engineering 7 (2),pp.347-361 (Co-authored) 2010
57.	Papers	Global stability of nonautonomous logistic equations with a piecewise constant delay 11 (3),pp.2115-2126 (Co-authored) 2010
58.	Papers	Permanence for nonautonomous Lotka–Volterra cooperative systems with delays Nonlinear Analysis: Real World Applications 11 (1),pp.528-534 (Co-authored) 2010
59.	Papers	Contractivity for nonautonomous logistic equation with piecewise constant delays 1124 (1),pp.254-263 (Co-authored) 2009
60.	Papers	Permanence for the Lotka–Volterra cooperative system with several delays International Journal of Biomathematics 02 (03),pp.267-285 (Sole-authored) 2009