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Kuniya, Toshikazu

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Author ID: kuniya.toshikazu Recent zbMATH articles by "Kuniya, Toshikazu"
Published as: Kuniya, T.; Kuniya, Toshikazu
Documents Indexed: 57 Publications since 2010

Publications by Year

Citations contained in zbMATH

45 Publications have been cited 458 times in 303 Documents Cited by Year
Global dynamics of a class of SEIRS epidemic models in a periodic environment. Zbl 1184.34056
Nakata, Yukihiko; Kuniya, Toshikazu
51
2010
Global stability for a multi-group SIRS epidemic model with varying population sizes. Zbl 1315.34052
Muroya, Yoshiaki; Enatsu, Yoichi; Kuniya, Toshikazu
33
2013
Dynamics of a PDE viral infection model incorporating cell-to-cell transmission. Zbl 1362.37165
Wang, Jinliang; Yang, Jie; Kuniya, Toshikazu
28
2016
Global threshold dynamics in a five-dimensional virus model with cell-mediated, humoral immune responses and distributed delays. Zbl 1334.92431
Wang, Jinliang; Pang, Jingmei; Kuniya, Toshikazu; Enatsu, Yoichi
28
2014
Global stability analysis with a discretization approach for an age-structured multigroup SIR epidemic model. Zbl 1219.35330
Kuniya, Toshikazu
28
2011
Global dynamics for a class of age-infection HIV models with nonlinear infection rate. Zbl 1320.92077
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
25
2015
Global stability of a multi-group SVIR epidemic model. Zbl 1315.34051
Kuniya, Toshikazu
20
2013
Stability analysis of a delayed multi-group SIS epidemic model with nonlinear incidence rates and patch structure. Zbl 1369.92126
Muroya, Yoshiaki; Kuniya, Toshikazu; Wang, Jinliang
19
2015
Global stability of extended multi-group SIR epidemic models with patches through migration and cross patch infection. Zbl 1289.34221
Muroya, Yoshiaki; Enatsu, Yoichi; Kuniya, Toshikazu
18
2013
Lyapunov functions and global stability for a spatially diffusive SIR epidemic model. Zbl 1373.35320
Kuniya, Toshikazu; Wang, Jinliang
15
2017
Global stability of a multi-group SIS epidemic model for population migration. Zbl 1308.34065
Kuniya, Toshikazu; Muroya, Yoshiaki
15
2014
The dynamics of an SVIR epidemiological model with infection age. Zbl 1338.35429
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
14
2016
A note on dynamics of an age-of-infection cholera model. Zbl 1326.92072
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
14
2016
Mathematical analysis for an age-structured HIV infection model with saturation infection rate. Zbl 1325.92085
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
14
2015
Complete global analysis of an SIRS epidemic model with graded cure and incomplete recovery rates. Zbl 1307.92350
Muroya, Yoshiaki; Li, Huaixing; Kuniya, Toshikazu
14
2014
Endemic threshold results for an age-structured SIS epidemic model with periodic parameters. Zbl 1263.92041
Kuniya, Toshikazu; Inaba, Hisashi
14
2013
Permanence and extinction for a nonautonomous SEIRS epidemic model. Zbl 1245.34038
Kuniya, Toshikazu; Nakata, Yukihiko
11
2012
On global stability of a nonresident computer virus model. Zbl 1324.34099
Muroya, Yoshiaki; Li, Huaixing; Kuniya, Toshikazu
10
2014
Global stability of nonresident computer virus models. Zbl 1307.34071
Muroya, Yoshiaki; Kuniya, Toshikazu
9
2015
Existence of a nontrivial periodic solution in an age-structured SIR epidemic model with time periodic coefficients. Zbl 1311.92178
Kuniya, Toshikazu
9
2014
A multi-group SIR epidemic model with age structure. Zbl 1356.35263
Kuniya, Toshikazu; Wang, Jinliang; Inaba, Hisashi
7
2016
Existence result for an age-structured SIS epidemic model with spatial diffusion. Zbl 1319.35274
Kuniya, Toshikazu; Oizumi, Ryo
7
2015
Further stability analysis for a multi-group SIRS epidemic model with varying total population size. Zbl 1314.92167
Muroya, Yoshiaki; Kuniya, Toshikazu
7
2014
Global dynamics of an SIR epidemic model with nonlocal diffusion. Zbl 1392.92102
Kuniya, Toshikazu; Wang, Jinliang
5
2018
Numerical approximation of the basic reproduction number for a class of age-structured epidemic models. Zbl 1377.92090
Kuniya, Toshikazu
4
2017
Global stability of a multi-group SIS epidemic model with varying total population size. Zbl 1410.34214
Kuniya, Toshikazu; Muroya, Yoshiaki
4
2015
Threshold dynamics of an SIR epidemic model with hybrid of multigroup and patch structures. Zbl 1312.34086
Kuniya, Toshikazu; Muroya, Yoshiaki; Enatsu, Yoichi
4
2014
Mathematical analysis of a transformed ODE from a PDE multiscale model of hepatitis C virus infection. Zbl 1415.92184
Kitagawa, Kosaku; Kuniya, Toshikazu; Nakaoka, Shinji; Asai, Yusuke; Watashi, Koichi; Iwami, Shingo
3
2019
Delayed nonlocal reaction-diffusion model for hematopoietic stem cell dynamics with Dirichlet boundary conditions. Zbl 1387.35583
Adimy, M.; Chekroun, A.; Kuniya, T.
3
2017
Global stability of a time-delayed multi-group SIS epidemic model with nonlinear incidence rates and patch structure. Zbl 1330.34127
Wang, Jinliang; Muroya, Yoshiaki; Kuniya, Toshikazu
3
2015
Global stability for a delayed multi-group SIRS epidemic model with cure rate and incomplete recovery rate. Zbl 1327.34131
Muroya, Yoshiaki; Kuniya, Toshikazu
3
2015
Analysis of an age-structured multi-group heroin epidemic model. Zbl 1428.92122
Wang, Jinliang; Wang, Jing; Kuniya, Toshikazu
2
2019
Correction: “Stability analysis of an age-structured SIR epidemic model with a reduction method to ODEs”. Zbl 1404.92191
Kuniya, Toshikazu
2
2018
Threshold dynamics of an age-structured epidemic model with relapse and nonlinear incidence. Zbl 1404.92209
Yang, Junyuan; Chen, Yuming; Kuniya, Toshikazu
2
2017
Global stability for multi-group SIR and SEIR epidemic models with age-dependent susceptibility. Zbl 1364.92055
Wang, Jinliang; Liu, Xianning; Kuniya, Toshikazu; Pang, Jingmei
2
2017
A note on global stability for malaria infections model with latencies. Zbl 1327.92068
Wang, Jinliang; Pang, Jingmei; Kuniya, Toshikazu
2
2014
Analysis of a reaction-diffusion cholera epidemic model in a spatially heterogeneous environment. Zbl 07262786
Wang, Jinliang; Xie, Fanglin; Kuniya, Toshikazu
1
2020
An infection age-space-structured SIR epidemic model with Dirichlet boundary condition. Zbl 1429.35111
Chekroun, Abdennasser; Kuniya, Toshikazu
1
2019
Global behavior of a multi-group SIR epidemic model with age structure and an application to the chlamydia epidemic in Japan. Zbl 1415.35264
Kuniya, Toshikazu
1
2019
Competitive exclusion in a multi-strain SIS epidemic model on complex networks. Zbl 1406.35442
Yang, Junyuan; Kuniya, Toshikazu; Lu, Xiaofeng
1
2019
Evaluation of the tuberculosis transmission of drug-resistant strains in mainland China. Zbl 1415.92200
Yang, Junyuan; Kuniya, Toshikazu; Xu, Fei; Chen, Yuming
1
2018
Global behavior of SIS epidemic models with age structure and spatial heterogeneity. Zbl 1406.35433
Kuniya, Toshikazu; Inaba, Hisashi; Yang, Junyuan
1
2018
Mathematical analysis for a multi-group SEIR epidemic model with age-dependent relapse. Zbl 1394.35522
Wang, J.; Guo, M.; Kuniya, T.
1
2018
Global stability of a delayed multi-group SIRS epidemic model with nonlinear incidence rates and relapse of infection. Zbl 1330.34122
Enatsu, Yoichi; Kuniya, Toshikazu; Muroya, Yoshiaki
1
2015
Stability of epidemic models with waning immunity. Zbl 1331.34159
Nakata, Yukihiko; Enatsu, Yoichi; Inaba, Hisashi; Kuniya, Toshikazu; Muroya, Yoshiaki; Takeuchi, Yasuhiro
1
2014
Analysis of a reaction-diffusion cholera epidemic model in a spatially heterogeneous environment. Zbl 07262786
Wang, Jinliang; Xie, Fanglin; Kuniya, Toshikazu
1
2020
Mathematical analysis of a transformed ODE from a PDE multiscale model of hepatitis C virus infection. Zbl 1415.92184
Kitagawa, Kosaku; Kuniya, Toshikazu; Nakaoka, Shinji; Asai, Yusuke; Watashi, Koichi; Iwami, Shingo
3
2019
Analysis of an age-structured multi-group heroin epidemic model. Zbl 1428.92122
Wang, Jinliang; Wang, Jing; Kuniya, Toshikazu
2
2019
An infection age-space-structured SIR epidemic model with Dirichlet boundary condition. Zbl 1429.35111
Chekroun, Abdennasser; Kuniya, Toshikazu
1
2019
Global behavior of a multi-group SIR epidemic model with age structure and an application to the chlamydia epidemic in Japan. Zbl 1415.35264
Kuniya, Toshikazu
1
2019
Competitive exclusion in a multi-strain SIS epidemic model on complex networks. Zbl 1406.35442
Yang, Junyuan; Kuniya, Toshikazu; Lu, Xiaofeng
1
2019
Global dynamics of an SIR epidemic model with nonlocal diffusion. Zbl 1392.92102
Kuniya, Toshikazu; Wang, Jinliang
5
2018
Correction: “Stability analysis of an age-structured SIR epidemic model with a reduction method to ODEs”. Zbl 1404.92191
Kuniya, Toshikazu
2
2018
Evaluation of the tuberculosis transmission of drug-resistant strains in mainland China. Zbl 1415.92200
Yang, Junyuan; Kuniya, Toshikazu; Xu, Fei; Chen, Yuming
1
2018
Global behavior of SIS epidemic models with age structure and spatial heterogeneity. Zbl 1406.35433
Kuniya, Toshikazu; Inaba, Hisashi; Yang, Junyuan
1
2018
Mathematical analysis for a multi-group SEIR epidemic model with age-dependent relapse. Zbl 1394.35522
Wang, J.; Guo, M.; Kuniya, T.
1
2018
Lyapunov functions and global stability for a spatially diffusive SIR epidemic model. Zbl 1373.35320
Kuniya, Toshikazu; Wang, Jinliang
15
2017
Numerical approximation of the basic reproduction number for a class of age-structured epidemic models. Zbl 1377.92090
Kuniya, Toshikazu
4
2017
Delayed nonlocal reaction-diffusion model for hematopoietic stem cell dynamics with Dirichlet boundary conditions. Zbl 1387.35583
Adimy, M.; Chekroun, A.; Kuniya, T.
3
2017
Threshold dynamics of an age-structured epidemic model with relapse and nonlinear incidence. Zbl 1404.92209
Yang, Junyuan; Chen, Yuming; Kuniya, Toshikazu
2
2017
Global stability for multi-group SIR and SEIR epidemic models with age-dependent susceptibility. Zbl 1364.92055
Wang, Jinliang; Liu, Xianning; Kuniya, Toshikazu; Pang, Jingmei
2
2017
Dynamics of a PDE viral infection model incorporating cell-to-cell transmission. Zbl 1362.37165
Wang, Jinliang; Yang, Jie; Kuniya, Toshikazu
28
2016
The dynamics of an SVIR epidemiological model with infection age. Zbl 1338.35429
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
14
2016
A note on dynamics of an age-of-infection cholera model. Zbl 1326.92072
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
14
2016
A multi-group SIR epidemic model with age structure. Zbl 1356.35263
Kuniya, Toshikazu; Wang, Jinliang; Inaba, Hisashi
7
2016
Global dynamics for a class of age-infection HIV models with nonlinear infection rate. Zbl 1320.92077
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
25
2015
Stability analysis of a delayed multi-group SIS epidemic model with nonlinear incidence rates and patch structure. Zbl 1369.92126
Muroya, Yoshiaki; Kuniya, Toshikazu; Wang, Jinliang
19
2015
Mathematical analysis for an age-structured HIV infection model with saturation infection rate. Zbl 1325.92085
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
14
2015
Global stability of nonresident computer virus models. Zbl 1307.34071
Muroya, Yoshiaki; Kuniya, Toshikazu
9
2015
Existence result for an age-structured SIS epidemic model with spatial diffusion. Zbl 1319.35274
Kuniya, Toshikazu; Oizumi, Ryo
7
2015
Global stability of a multi-group SIS epidemic model with varying total population size. Zbl 1410.34214
Kuniya, Toshikazu; Muroya, Yoshiaki
4
2015
Global stability of a time-delayed multi-group SIS epidemic model with nonlinear incidence rates and patch structure. Zbl 1330.34127
Wang, Jinliang; Muroya, Yoshiaki; Kuniya, Toshikazu
3
2015
Global stability for a delayed multi-group SIRS epidemic model with cure rate and incomplete recovery rate. Zbl 1327.34131
Muroya, Yoshiaki; Kuniya, Toshikazu
3
2015
Global stability of a delayed multi-group SIRS epidemic model with nonlinear incidence rates and relapse of infection. Zbl 1330.34122
Enatsu, Yoichi; Kuniya, Toshikazu; Muroya, Yoshiaki
1
2015
Global threshold dynamics in a five-dimensional virus model with cell-mediated, humoral immune responses and distributed delays. Zbl 1334.92431
Wang, Jinliang; Pang, Jingmei; Kuniya, Toshikazu; Enatsu, Yoichi
28
2014
Global stability of a multi-group SIS epidemic model for population migration. Zbl 1308.34065
Kuniya, Toshikazu; Muroya, Yoshiaki
15
2014
Complete global analysis of an SIRS epidemic model with graded cure and incomplete recovery rates. Zbl 1307.92350
Muroya, Yoshiaki; Li, Huaixing; Kuniya, Toshikazu
14
2014
On global stability of a nonresident computer virus model. Zbl 1324.34099
Muroya, Yoshiaki; Li, Huaixing; Kuniya, Toshikazu
10
2014
Existence of a nontrivial periodic solution in an age-structured SIR epidemic model with time periodic coefficients. Zbl 1311.92178
Kuniya, Toshikazu
9
2014
Further stability analysis for a multi-group SIRS epidemic model with varying total population size. Zbl 1314.92167
Muroya, Yoshiaki; Kuniya, Toshikazu
7
2014
Threshold dynamics of an SIR epidemic model with hybrid of multigroup and patch structures. Zbl 1312.34086
Kuniya, Toshikazu; Muroya, Yoshiaki; Enatsu, Yoichi
4
2014
A note on global stability for malaria infections model with latencies. Zbl 1327.92068
Wang, Jinliang; Pang, Jingmei; Kuniya, Toshikazu
2
2014
Stability of epidemic models with waning immunity. Zbl 1331.34159
Nakata, Yukihiko; Enatsu, Yoichi; Inaba, Hisashi; Kuniya, Toshikazu; Muroya, Yoshiaki; Takeuchi, Yasuhiro
1
2014
Global stability for a multi-group SIRS epidemic model with varying population sizes. Zbl 1315.34052
Muroya, Yoshiaki; Enatsu, Yoichi; Kuniya, Toshikazu
33
2013
Global stability of a multi-group SVIR epidemic model. Zbl 1315.34051
Kuniya, Toshikazu
20
2013
Global stability of extended multi-group SIR epidemic models with patches through migration and cross patch infection. Zbl 1289.34221
Muroya, Yoshiaki; Enatsu, Yoichi; Kuniya, Toshikazu
18
2013
Endemic threshold results for an age-structured SIS epidemic model with periodic parameters. Zbl 1263.92041
Kuniya, Toshikazu; Inaba, Hisashi
14
2013
Permanence and extinction for a nonautonomous SEIRS epidemic model. Zbl 1245.34038
Kuniya, Toshikazu; Nakata, Yukihiko
11
2012
Global stability analysis with a discretization approach for an age-structured multigroup SIR epidemic model. Zbl 1219.35330
Kuniya, Toshikazu
28
2011
Global dynamics of a class of SEIRS epidemic models in a periodic environment. Zbl 1184.34056
Nakata, Yukihiko; Kuniya, Toshikazu
51
2010
all top 5

Cited by 522 Authors

34 Kuniya, Toshikazu
26 Wang, Jinliang
11 Teng, Zhi-dong
10 Muroya, Yoshiaki
10 Yang, Junyuan
8 Jin, Zhen
7 Xu, Jinhu
7 Xu, Rui
6 Meng, Xinzhu
6 Wang, Wei
5 Chekroun, Abdennasser
5 Chen, Yuming
5 Elaiw, Ahmed M.
5 Geng, Yan
5 Jiang, Daqing
5 Liu, Xianning
5 Ma, Wanbiao
4 Ding, Xiaohua
4 Fan, Dejun
4 Gao, Shujing
4 Inaba, Hisashi
4 Lin, Jiazhe
4 Liu, Lili
4 Sun, Hongquan
4 Wang, Xia
4 Wang, Xiaoyan
4 Zhang, Long
4 Zhang, Xian
4 Zhang, Zizhen
4 Zhou, Yicang
3 Abdurahman, Xamxinur
3 Bai, Zhenguo
3 Buonomo, Bruno
3 Cao, Jinde
3 d’Onofrio, Alberto
3 Enatsu, Yoichi
3 Guo, Ting
3 Guo, Ying
3 Jia, Jianwen
3 Khan, Asaf
3 Lang, Jiying
3 Liu, Qun
3 Liu, Shengqiang
3 Mateus, Joaquim P.
3 Miao, Hui
3 Qiu, Zhipeng
3 Rong, Libin
3 Shu, Hongying
3 Silva, César M.
3 Wang, Yantao
3 Xie, Dehui
3 Xu, Changjin
3 Yang, Xiaofan
3 Yang, Yu
3 Zaman, Gul
3 Zhang, Fengqin
3 Zhang, Tonghua
2 Adimy, Mostafa
2 Alshamrani, Noura H.
2 Bacaër, Nicolas
2 Bürger, Raimund
2 Cai, Shaohong
2 Chen, Lijuan
2 Chowell, Gerardo
2 Dong, Xiu
2 Dong, Yueping
2 El Fatini, Mohamed
2 Fan, Xiaoming
2 Feng, Tao
2 Feng, Xiaomei
2 Feng, Zhaosheng
2 Guo, Min
2 Hao, Pengmiao
2 Huang, Gang
2 Iggidr, Aberrahman
2 Ji, Chunyan
2 Jiang, Weihua
2 Jiao, Jianjun
2 Jin, Yunguo
2 Kang, Yun
2 Koutou, Ousmane
2 Kundu, Soumen
2 Lahrouz, Aadil
2 Leng, Xiaona
2 Li, Limei
2 Li, Wenxue
2 Li, Yuji
2 Li, Zhiming
2 Liu, Helong
2 Liu, Juan
2 Liu, Luju
2 Liu, Xinzhi
2 Liu, Zhijun
2 Lou, Yijun
2 Maitra, Sarit
2 Mohammed-Awel, Jemal
2 Mulet, Pep
2 Ngonghala, Calistus N.
2 Pang, Jingmei
2 Pertsev, Nikolay Viktorovitch
...and 422 more Authors
all top 5

Cited in 78 Serials

22 Applied Mathematics and Computation
21 Nonlinear Analysis. Real World Applications
19 Discrete and Continuous Dynamical Systems. Series B
18 International Journal of Biomathematics
17 Advances in Difference Equations
14 Journal of Mathematical Analysis and Applications
14 Mathematical Biosciences and Engineering
9 Journal of the Franklin Institute
8 Journal of Mathematical Biology
8 Mathematical Methods in the Applied Sciences
8 Applied Mathematics Letters
8 Journal of Biological Dynamics
7 Nonlinear Dynamics
6 Applied Mathematical Modelling
6 Complexity
6 Abstract and Applied Analysis
6 Discrete Dynamics in Nature and Society
5 Computers & Mathematics with Applications
5 Bulletin of Mathematical Biology
4 Chaos, Solitons and Fractals
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Journal of Applied Mathematics and Computing
4 Journal of Nonlinear Science and Applications
4 Journal of Theoretical Biology
3 Physica A
3 Journal of Differential Equations
3 Computational and Applied Mathematics
3 Mathematical Problems in Engineering
3 Communications in Nonlinear Science and Numerical Simulation
3 Journal of Biological Systems
2 Applicable Analysis
2 SIAM Journal on Applied Mathematics
2 Nonlinear Analysis. Modelling and Control
2 Journal of Applied Mathematics
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Computational & Mathematical Methods in Medicine
2 Mathematical Modelling of Natural Phenomena
2 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Mathematical Physics
1 Mathematical Biosciences
1 Proceedings of the American Mathematical Society
1 Ricerche di Matematica
1 Studies in Applied Mathematics
1 Circuits, Systems, and Signal Processing
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 Journal of Scientific Computing
1 Japan Journal of Industrial and Applied Mathematics
1 International Journal of Computer Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Journal of Dynamics and Differential Equations
1 Calculus of Variations and Partial Differential Equations
1 Journal of the Egyptian Mathematical Society
1 Annals of Mathematics and Artificial Intelligence
1 Journal of Difference Equations and Applications
1 Journal of Inequalities and Applications
1 Chaos
1 Qualitative Theory of Dynamical Systems
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Differential Equations
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Dynamical Systems
1 Journal of Systems Science and Complexity
1 Communications on Pure and Applied Analysis
1 International Journal of Computational Methods
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Applications and Applied Mathematics
1 Nonlinear Analysis. Hybrid Systems
1 Advances in Mathematical Physics
1 International Journal of Differential Equations
1 Journal of Control Science and Engineering
1 Symmetry
1 Journal of the Korean Society for Industrial and Applied Mathematics
1 Journal of Applied Analysis and Computation
1 Mathematics
1 International Journal of Applied and Computational Mathematics
1 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 Journal of Elliptic and Parabolic Equations

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