# zbMATH — the first resource for mathematics

## Nakata, Yukihiko

Compute Distance To:
 Author ID: nakata.yukihiko Published as: Nakata, Yukihiko
 Documents Indexed: 45 Publications since 2009
all top 5

#### Co-Authors

 8 single-authored 19 Muroya, Yoshiaki 16 Enatsu, Yoichi 5 Getto, Philipp 5 Röst, Gergely 5 Vecchio, Antonia 3 Kuniya, Toshikazu 3 Messina, Eleonora 3 Russo, Elvira 2 Alarcón, Tomás 2 Ishiwata, Emiko 2 Izzo, Giuseppe 2 Marciniak-Czochra, Anna K. 2 Sekiguchi, Masaki 1 Bellen, Alfredo 1 Diekmann, Odo 1 Gyllenberg, Mats 1 Gyori, Istvan 1 Inaba, Hisashi 1 Ishihara, Keigo 1 Li, Huaixing 1 Nah, Kyeongah 1 Omori, Ryosuke 1 Scarabel, Francesca 1 Takeuchi, Yasuhiro 1 Vivanco, Maria dM. 1 Yuan, Rong
all top 5

#### Serials

 7 Nonlinear Analysis. Real World Applications 3 Journal of Mathematical Analysis and Applications 3 Journal of Mathematical Biology 3 Journal of Difference Equations and Applications 3 Mathematical Biosciences and Engineering 2 Applied Mathematics and Computation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Biological Dynamics 2 International Journal of Biomathematics 1 Computers & Mathematics with Applications 1 Mathematical Biosciences 1 Differential and Integral Equations 1 Mathematica Bohemica 1 SIAM Journal on Applied Mathematics 1 Journal of Dynamics and Differential Equations 1 SUT Journal of Mathematics 1 Discrete and Continuous Dynamical Systems 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Discrete Dynamics in Nature and Society 1 Journal of Biological Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Communications on Pure and Applied Analysis 1 Journal of Applied Mathematics and Computing 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Qualitative Theory of Differential Equations and Applications 1 S$$\vec{\text{e}}$$MA Journal
all top 5

#### Fields

 39 Biology and other natural sciences (92-XX) 34 Ordinary differential equations (34-XX) 5 Difference and functional equations (39-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Numerical analysis (65-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

38 Publications have been cited 470 times in 345 Documents Cited by Year
Global dynamics of a class of SEIRS epidemic models in a periodic environment. Zbl 1184.34056
Nakata, Yukihiko; Kuniya, Toshikazu
2010
Global dynamics of a cell mediated immunity in viral infection models with distributed delays. Zbl 1221.34225
Nakata, Yukihiko
2011
Global stability for a class of discrete SIR epidemic models. Zbl 1259.34064
Enatsu, Yoichi; Nakata, Yukihiko; Muroya, Yoshiaki
2010
Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model. Zbl 1257.34065
Enatsu, Yoichi; Nakata, Yukihiko; Muroya, Yoshiaki
2012
Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates. Zbl 1252.92049
Enatsu, Yoichi; Nakata, Yukihiko; Muroya, Yoshiaki; Izzo, Giuseppe; Vecchio, Antonia
2012
Permanence for nonautonomous Lotka-Volterra cooperative systems with delays. Zbl 1186.34119
Nakata, Yukihiko; Muroya, Yoshiaki
2010
Global dynamics of a viral infection model with a latent period and Beddington-DeAngelis response. Zbl 1227.34086
Nakata, Yukihiko
2011
Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate. Zbl 1242.92053
Muroya, Yoshiaki; Enatsu, Yoichi; Nakata, Yukihiko
2011
Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates. Zbl 1244.92048
Enatsu, Yoichi; Messina, Eleonora; Muroya, Yoshiaki; Nakata, Yukihiko; Russo, Elvira; Vecchio, Antonia
2012
Monotone iterative techniques to SIRS epidemic models with nonlinear incidence rates and distributed delays. Zbl 1225.93091
Muroya, Yoshiaki; Enatsu, Yoichi; Nakata, Yukihiko
2011
Global stability of SIR epidemic models with a wide class of nonlinear incidence rates and distributed delays. Zbl 1217.34127
Enatsu, Yoichi; Nakata, Yukihiko; Muroya, Yoshiaki
2011
Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population. Zbl 1238.34108
Muroya, Yoshiaki; Bellen, Alfredo; Enatsu, Yoichi; Nakata, Yukihiko
2012
Global stability of SIRS epidemic models with a class of nonlinear incidence rates and distributed delays. Zbl 1274.34236
Enatsu, Yoichi; Nakata, Yukihiko; Muroya, Yoshiaki
2012
Permanence and global stability of a class of discrete epidemic models. Zbl 1216.92055
Muroya, Yoshiaki; Nakata, Yukihiko; Izzo, Giuseppe; Vecchio, Antonia
2011
On the global stability of an SIRS epidemic model with distributed delays. Zbl 1306.34111
Nakata, Yukihiko; Enatsu, Yoichi; Muroya, Yoshiaki
2011
Permanence and extinction for a nonautonomous SEIRS epidemic model. Zbl 1245.34038
Kuniya, Toshikazu; Nakata, Yukihiko
2012
Global dynamics of two-compartment models for cell production systems with regulatory mechanisms. Zbl 1308.92039
Getto, Philipp; Marciniak-Czochra, Anna; Nakata, Yukihiko; Vivanco, Maria dM.
2013
Global analysis for spread of infectious diseases via transportation networks. Zbl 1316.34089
Nakata, Yukihiko; Röst, Gergely
2015
On the global stability of a delayed epidemic model with transport-related infection. Zbl 1231.34128
Nakata, Yukihiko
2011
Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods. Zbl 07076781
Getto, Philipp; Gyllenberg, Mats; Nakata, Yukihiko; Scarabel, Francesca
2019
Stability and bifurcation analysis of epidemic models with saturated incidence rates: an application to a nonmonotone incidence rate. Zbl 1312.34123
Enatsu, Yoichi; Nakata, Yukihiko
2014
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. Zbl 1344.34077
Diekmann, Odo; Getto, Philipp; Nakata, Yukihiko
2016
Permanence for the Lotka-Volterra cooperative system with several delays. Zbl 1344.92142
Nakata, Yukihiko
2009
Stability of epidemic models with waning immunity. Zbl 1331.34159
Nakata, Yukihiko; Enatsu, Yoichi; Inaba, Hisashi; Kuniya, Toshikazu; Muroya, Yoshiaki; Takeuchi, Yasuhiro
2014
Stability analysis of a renewal equation for cell population dynamics with quiescence. Zbl 1320.37040
Alarcón, Tomás; Getto, Philipp; Nakata, Yukihiko
2014
Global stability of nonautonomous logistic equations with a piecewise constant delay. Zbl 1196.34108
Li, Huaixing; Muroya, Yoshiaki; Nakata, Yukihiko; Yuan, Rong
2010
Complete global dynamics of a delayed viral infection model with lytic and nonlytic effectors. Zbl 1260.92107
Nakata, Yukihiko; Enatsu, Yoichi; Muroya, Yoshiaki
2012
Global stability for a discrete SIS epidemic model with immigration of infectives. Zbl 1254.34101
Enatsu, Yoichi; Nakata, Yukihiko; Muroya, Yoshiaki
2012
Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments. Zbl 1204.39017
Nakata, Yukihiko
2010
Stability analysis of multi-compartment models for cell production systems. Zbl 1447.92126
Nakata, Yukihiko; Getto, Philipp; Marciniak-Czochra, Anna; Alarcón, Tomás
2012
Unbounded and blow-up solutions for a delay logistic equation with positive feedback. Zbl 1397.34114
Gyori, István; Nakata, Yukihiko; Röst, Gergely
2018
Malaria dynamics with long incubation period in hosts. Zbl 1362.92080
Nah, Kyeongah; Nakata, Yukihiko; Röst, Gergely
2014
On a generalization of the global attractivity for a periodically forced Pielou’s equation. Zbl 1244.39002
Ishihara, Keigo; Nakata, Yukihiko
2012
Global stability of an SIS epidemic model with a finite infectious period. Zbl 1413.37063
Nakata, Yukihiko; Röst, Gergely
2018
An explicit periodic solution of a delay differential equation. Zbl 1443.34071
Nakata, Yukihiko
2020
Dynamics of an ultra-discrete SIR epidemic model with time delay. Zbl 1406.92617
Sekiguchi, Masaki; Ishiwata, Emiko; Nakata, Yukihiko
2018
Global dynamics of a delay differential system of a two-patch SIS-model with transport-related infections. Zbl 1349.34349
Nakata, Yukihiko; Röst, Gergely
2015
Global dynamics of a delayed SIRS epidemic model with a wide class of nonlinear incidence rates. Zbl 1303.34066
Enatsu, Yoichi; Messina, Eleonora; Nakata, Yukihiko; Muroya, Yoshiaki; Russo, Elvira; Vecchio, Antonia
2012
An explicit periodic solution of a delay differential equation. Zbl 1443.34071
Nakata, Yukihiko
2020
Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods. Zbl 07076781
Getto, Philipp; Gyllenberg, Mats; Nakata, Yukihiko; Scarabel, Francesca
2019
Unbounded and blow-up solutions for a delay logistic equation with positive feedback. Zbl 1397.34114
Gyori, István; Nakata, Yukihiko; Röst, Gergely
2018
Global stability of an SIS epidemic model with a finite infectious period. Zbl 1413.37063
Nakata, Yukihiko; Röst, Gergely
2018
Dynamics of an ultra-discrete SIR epidemic model with time delay. Zbl 1406.92617
Sekiguchi, Masaki; Ishiwata, Emiko; Nakata, Yukihiko
2018
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. Zbl 1344.34077
Diekmann, Odo; Getto, Philipp; Nakata, Yukihiko
2016
Global analysis for spread of infectious diseases via transportation networks. Zbl 1316.34089
Nakata, Yukihiko; Röst, Gergely
2015
Global dynamics of a delay differential system of a two-patch SIS-model with transport-related infections. Zbl 1349.34349
Nakata, Yukihiko; Röst, Gergely
2015
Stability and bifurcation analysis of epidemic models with saturated incidence rates: an application to a nonmonotone incidence rate. Zbl 1312.34123
Enatsu, Yoichi; Nakata, Yukihiko
2014
Stability of epidemic models with waning immunity. Zbl 1331.34159
Nakata, Yukihiko; Enatsu, Yoichi; Inaba, Hisashi; Kuniya, Toshikazu; Muroya, Yoshiaki; Takeuchi, Yasuhiro
2014
Stability analysis of a renewal equation for cell population dynamics with quiescence. Zbl 1320.37040
Alarcón, Tomás; Getto, Philipp; Nakata, Yukihiko
2014
Malaria dynamics with long incubation period in hosts. Zbl 1362.92080
Nah, Kyeongah; Nakata, Yukihiko; Röst, Gergely
2014
Global dynamics of two-compartment models for cell production systems with regulatory mechanisms. Zbl 1308.92039
Getto, Philipp; Marciniak-Czochra, Anna; Nakata, Yukihiko; Vivanco, Maria dM.
2013
Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model. Zbl 1257.34065
Enatsu, Yoichi; Nakata, Yukihiko; Muroya, Yoshiaki
2012
Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates. Zbl 1252.92049
Enatsu, Yoichi; Nakata, Yukihiko; Muroya, Yoshiaki; Izzo, Giuseppe; Vecchio, Antonia
2012
Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates. Zbl 1244.92048
Enatsu, Yoichi; Messina, Eleonora; Muroya, Yoshiaki; Nakata, Yukihiko; Russo, Elvira; Vecchio, Antonia
2012
Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population. Zbl 1238.34108
Muroya, Yoshiaki; Bellen, Alfredo; Enatsu, Yoichi; Nakata, Yukihiko
2012
Global stability of SIRS epidemic models with a class of nonlinear incidence rates and distributed delays. Zbl 1274.34236
Enatsu, Yoichi; Nakata, Yukihiko; Muroya, Yoshiaki
2012
Permanence and extinction for a nonautonomous SEIRS epidemic model. Zbl 1245.34038
Kuniya, Toshikazu; Nakata, Yukihiko
2012
Complete global dynamics of a delayed viral infection model with lytic and nonlytic effectors. Zbl 1260.92107
Nakata, Yukihiko; Enatsu, Yoichi; Muroya, Yoshiaki
2012
Global stability for a discrete SIS epidemic model with immigration of infectives. Zbl 1254.34101
Enatsu, Yoichi; Nakata, Yukihiko; Muroya, Yoshiaki
2012
Stability analysis of multi-compartment models for cell production systems. Zbl 1447.92126
Nakata, Yukihiko; Getto, Philipp; Marciniak-Czochra, Anna; Alarcón, Tomás
2012
On a generalization of the global attractivity for a periodically forced Pielou’s equation. Zbl 1244.39002
Ishihara, Keigo; Nakata, Yukihiko
2012
Global dynamics of a delayed SIRS epidemic model with a wide class of nonlinear incidence rates. Zbl 1303.34066
Enatsu, Yoichi; Messina, Eleonora; Nakata, Yukihiko; Muroya, Yoshiaki; Russo, Elvira; Vecchio, Antonia
2012
Global dynamics of a cell mediated immunity in viral infection models with distributed delays. Zbl 1221.34225
Nakata, Yukihiko
2011
Global dynamics of a viral infection model with a latent period and Beddington-DeAngelis response. Zbl 1227.34086
Nakata, Yukihiko
2011
Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate. Zbl 1242.92053
Muroya, Yoshiaki; Enatsu, Yoichi; Nakata, Yukihiko
2011
Monotone iterative techniques to SIRS epidemic models with nonlinear incidence rates and distributed delays. Zbl 1225.93091
Muroya, Yoshiaki; Enatsu, Yoichi; Nakata, Yukihiko
2011
Global stability of SIR epidemic models with a wide class of nonlinear incidence rates and distributed delays. Zbl 1217.34127
Enatsu, Yoichi; Nakata, Yukihiko; Muroya, Yoshiaki
2011
Permanence and global stability of a class of discrete epidemic models. Zbl 1216.92055
Muroya, Yoshiaki; Nakata, Yukihiko; Izzo, Giuseppe; Vecchio, Antonia
2011
On the global stability of an SIRS epidemic model with distributed delays. Zbl 1306.34111
Nakata, Yukihiko; Enatsu, Yoichi; Muroya, Yoshiaki
2011
On the global stability of a delayed epidemic model with transport-related infection. Zbl 1231.34128
Nakata, Yukihiko
2011
Global dynamics of a class of SEIRS epidemic models in a periodic environment. Zbl 1184.34056
Nakata, Yukihiko; Kuniya, Toshikazu
2010
Global stability for a class of discrete SIR epidemic models. Zbl 1259.34064
Enatsu, Yoichi; Nakata, Yukihiko; Muroya, Yoshiaki
2010
Permanence for nonautonomous Lotka-Volterra cooperative systems with delays. Zbl 1186.34119
Nakata, Yukihiko; Muroya, Yoshiaki
2010
Global stability of nonautonomous logistic equations with a piecewise constant delay. Zbl 1196.34108
Li, Huaixing; Muroya, Yoshiaki; Nakata, Yukihiko; Yuan, Rong
2010
Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments. Zbl 1204.39017
Nakata, Yukihiko
2010
Permanence for the Lotka-Volterra cooperative system with several delays. Zbl 1344.92142
Nakata, Yukihiko
2009
all top 5

#### Cited by 547 Authors

 22 Muroya, Yoshiaki 19 Teng, Zhi-dong 18 Nakata, Yukihiko 17 Enatsu, Yoichi 16 Kuniya, Toshikazu 10 Wang, Jinliang 9 Jiang, Daqing 7 Elaiw, Ahmed M. 7 Liu, Qun 7 Xu, Jinhu 6 Gao, Shujing 6 Geng, Yan 6 Ma, Wanbiao 6 Scarabel, Francesca 5 Bai, Zhenguo 5 Breda, Dimitri 5 Diekmann, Odo 5 Getto, Philipp 5 Marciniak-Czochra, Anna K. 5 Yang, Yu 4 Avila-Vales, Eric Jose 4 Ding, Xiaohua 4 d’Onofrio, Alberto 4 Hattaf, Khalid 4 Liu, Juan 4 Liu, Shengqiang 4 Röst, Gergely 4 Silva, César M. 4 Vecchio, Antonia 4 Xie, Dehui 4 Yousfi, Noura 4 Zhang, Long 3 Buonomo, Bruno 3 Chen, Qingmei 3 Ding, Deqiong 3 Guo, Songbai 3 Hayat, Tasawar 3 Hou, Jiangyong 3 Hu, Cheng 3 Jia, Jianwen 3 Jiang, Haijun 3 Koutou, Ousmane 3 Li, Huaixing 3 Li, Wan-Tong 3 Liu, Meng 3 Liu, Xianning 3 Liu, Xinzhi 3 Liu, Zhijun 3 Mateus, Joaquim P. 3 Muhammadhaji, Ahmadjan 3 Qiu, Zhipeng 3 Samanta, Guru Prasad 3 Sangaré, Boureima 3 Sharma, Swarnali 3 Stiehl, Thomas-Peter 3 Traoré, Bakary 3 Vermiglio, Rossana 3 Wanduku, Divine 3 Wang, Kaifa 3 Wang, Lianwen 3 Xu, Changjin 3 Yang, Junyuan 3 Zhang, Tianwei 2 Abdurahman, Xamxinur 2 Abukwaik, R. M. 2 Ahmad, Bashir 2 Alshamrani, Noura H. 2 Alzahrani, Ebraheem O. 2 Andò, Alessia 2 Bacaër, Nicolas 2 Bai, Yuzhen 2 Cai, Shaohong 2 Chekroun, Abdennasser 2 Chen, Fengde 2 Chen, Ning 2 Cheng, Chang-Yuan 2 Coll, Carmen 2 Cui, Jingan 2 Dai, Yanfei 2 de la Sen, Manuel 2 Din, Qamar 2 El Boukari, Brahim 2 Feng, Tao 2 Fu, Shengmao 2 García-Almeida, Gerardo Emilio 2 Guo, Ting 2 Gyllenberg, Mats 2 Hu, Zengyun 2 Ibeas, Asier 2 Izzo, Giuseppe 2 Ji, Yu 2 Jiao, Jianjun 2 Khan, Abdul Qadeer 2 Komarova, Natalia L. 2 Kundu, Soumen 2 Li, Dan 2 Li, Hongli 2 Li, Limei 2 Li, Xiaojuan 2 Liessi, Davide ...and 447 more Authors
all top 5

#### Cited in 78 Serials

 28 Applied Mathematics and Computation 21 International Journal of Biomathematics 17 Discrete Dynamics in Nature and Society 17 Nonlinear Analysis. Real World Applications 17 Advances in Difference Equations 16 Mathematical Methods in the Applied Sciences 16 Mathematical Biosciences and Engineering 13 Journal of Mathematical Biology 13 Discrete and Continuous Dynamical Systems. Series B 12 Abstract and Applied Analysis 11 Journal of Mathematical Analysis and Applications 11 Journal of Difference Equations and Applications 8 Journal of Theoretical Biology 7 Physica A 7 Communications in Nonlinear Science and Numerical Simulation 6 Computers & Mathematics with Applications 6 Bulletin of Mathematical Biology 6 Differential Equations and Dynamical Systems 6 Journal of Biological Systems 6 Journal of Biological Dynamics 5 Chaos, Solitons and Fractals 5 Nonlinear Dynamics 5 Journal of Applied Mathematics and Computing 5 Journal of Applied Analysis and Computation 4 Applied Mathematics Letters 4 Discrete and Continuous Dynamical Systems. Series S 3 Journal of the Franklin Institute 3 Mathematical Biosciences 3 Journal of Differential Equations 3 International Journal of Differential Equations 2 Ricerche di Matematica 2 Mathematical and Computer Modelling 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Journal of Dynamics and Differential Equations 2 Complexity 2 Journal of Applied Mathematics 2 Computational & Mathematical Methods in Medicine 2 Journal of Nonlinear Science and Applications 2 Electronic Journal of Mathematical Analysis and Applications EJMAA 2 Mathematics 1 International Journal of Control 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Numerical Analysis 1 Siberian Mathematical Journal 1 Bulletin of the Korean Mathematical Society 1 Acta Applicandae Mathematicae 1 Numerical Methods for Partial Differential Equations 1 MCSS. Mathematics of Control, Signals, and Systems 1 SIAM Journal on Applied Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Journal of the Egyptian Mathematical Society 1 Filomat 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Vietnam Journal of Mathematics 1 International Journal of Applied Mathematics and Computer Science 1 Qualitative Theory of Dynamical Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Modelling and Control 1 Journal of Systems Science and Complexity 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Communications on Pure and Applied Analysis 1 SIAM Journal on Applied Dynamical Systems 1 Nonlinear Analysis. Hybrid Systems 1 Mathematical Modelling of Natural Phenomena 1 Afrika Matematika 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Mathematics 1 International Journal of Applied and Computational Mathematics 1 Cogent Mathematics & Statistics
all top 5

#### Cited in 18 Fields

 309 Biology and other natural sciences (92-XX) 204 Ordinary differential equations (34-XX) 42 Dynamical systems and ergodic theory (37-XX) 32 Difference and functional equations (39-XX) 30 Partial differential equations (35-XX) 26 Numerical analysis (65-XX) 18 Probability theory and stochastic processes (60-XX) 11 Integral equations (45-XX) 11 Systems theory; control (93-XX) 9 Operator theory (47-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Computer science (68-XX)