## Kuniya, Toshikazu

Compute Distance To:
 Author ID: kuniya.toshikazu Published as: Kuniya, Toshikazu; Kuniya, T.
 Documents Indexed: 69 Publications since 2010 Co-Authors: 35 Co-Authors with 59 Joint Publications 884 Co-Co-Authors
all top 5

### Co-Authors

 10 single-authored 22 Wang, Jinliang 15 Muroya, Yoshiaki 9 Chekroun, Abdennasser 8 Enatsu, Yoichi 6 Inaba, Hisashi 6 Zhang, Ran 4 Yang, Junyuan 3 Adimy, Mostafa 3 Nakata, Yukihiko 3 Pang, Jingmei 3 Touaoula, Tarik Mohamed 2 Chen, Yuming 2 Frioui, Mohammed Nor 2 Li, Huaixing 2 Okuwa, Kento 2 Wu, WenJing 1 Asai, Yusuke 1 Breda, Dimitri 1 Guo, Min 1 Iannelli, Mimmo 1 Iwami, Shingo 1 Kitagawa, Kosaku 1 Liu, Xianning 1 Lu, Xiaofeng 1 Moghadas, Seyed M. 1 Nakaoka, Shinji 1 Oizumi, Ryo 1 Ripoll, Jordi 1 Röst, Gergely 1 Takeuchi, Yasuhiro 1 Vermiglio, Rossana 1 Watashi, Koichi 1 Wu, Jianhong 1 Wu, Xiaoqing 1 Xie, Fanglin
all top 5

### Serials

 9 Journal of Mathematical Analysis and Applications 8 Mathematical Biosciences and Engineering 5 Nonlinear Analysis. Real World Applications 5 Discrete and Continuous Dynamical Systems. Series B 4 Applied Mathematics and Computation 4 Applied Mathematics Letters 3 Applicable Analysis 3 Mathematics and Computers in Simulation 2 IMA Journal of Applied Mathematics 2 Electronic Journal of Differential Equations (EJDE) 2 Communications in Nonlinear Science and Numerical Simulation 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Journal of Biological Dynamics 2 Mathematical Modelling of Natural Phenomena 2 Journal of Nonlinear Science and Applications 2 Mathematics 1 Mathematical Methods in the Applied Sciences 1 Bulletin of Mathematical Biology 1 Journal of Differential Equations 1 Ricerche di Matematica 1 Journal of Scientific Computing 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Journal on Applied Mathematics 1 SUT Journal of Mathematics 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Journal of Biological Systems 1 International Journal of Biomathematics
all top 5

### Fields

 67 Biology and other natural sciences (92-XX) 35 Partial differential equations (35-XX) 32 Ordinary differential equations (34-XX) 12 Dynamical systems and ergodic theory (37-XX) 3 Operator theory (47-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX)

### Citations contained in zbMATH Open

60 Publications have been cited 744 times in 514 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 stability for a multi-group SIRS epidemic model with varying population sizes. Zbl 1315.34052
Muroya, Yoshiaki; Enatsu, Yoichi; Kuniya, Toshikazu
2013
Dynamics of a PDE viral infection model incorporating cell-to-cell transmission. Zbl 1362.37165
Wang, Jinliang; Yang, Jie; Kuniya, Toshikazu
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
2014
Global dynamics for a class of age-infection HIV models with nonlinear infection rate. Zbl 1320.92077
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
2015
Global stability analysis with a discretization approach for an age-structured multigroup SIR epidemic model. Zbl 1219.35330
Kuniya, Toshikazu
2011
Global stability of a multi-group SVIR epidemic model. Zbl 1315.34051
Kuniya, Toshikazu
2013
Complete global analysis of an SIRS epidemic model with graded cure and incomplete recovery rates. Zbl 1307.92350
Muroya, Yoshiaki; Li, Huaixing; Kuniya, Toshikazu
2014
The dynamics of an SVIR epidemiological model with infection age. Zbl 1338.35429
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
2016
Lyapunov functions and global stability for a spatially diffusive SIR epidemic model. Zbl 1373.35320
Kuniya, Toshikazu; Wang, Jinliang
2017
Global dynamics of an SIR epidemic model with nonlocal diffusion. Zbl 1392.92102
Kuniya, Toshikazu; Wang, Jinliang
2018
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
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
2013
Analysis of a reaction-diffusion cholera epidemic model in a spatially heterogeneous environment. Zbl 1451.92317
Wang, Jinliang; Xie, Fanglin; Kuniya, Toshikazu
2020
A note on dynamics of an age-of-infection cholera model. Zbl 1326.92072
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
2016
Endemic threshold results for an age-structured SIS epidemic model with periodic parameters. Zbl 1263.92041
Kuniya, Toshikazu; Inaba, Hisashi
2013
Mathematical analysis for an age-structured HIV infection model with saturation infection rate. Zbl 1325.92085
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
2015
Global stability of a multi-group SIS epidemic model for population migration. Zbl 1308.34065
Kuniya, Toshikazu; Muroya, Yoshiaki
2014
Analysis of an age-structured multi-group heroin epidemic model. Zbl 1428.92122
Wang, Jinliang; Wang, Jing; Kuniya, Toshikazu
2019
Existence of a nontrivial periodic solution in an age-structured SIR epidemic model with time periodic coefficients. Zbl 1311.92178
Kuniya, Toshikazu
2014
A multi-group SIR epidemic model with age structure. Zbl 1356.35263
Kuniya, Toshikazu; Wang, Jinliang; Inaba, Hisashi
2016
Permanence and extinction for a nonautonomous SEIRS epidemic model. Zbl 1245.34038
Kuniya, Toshikazu; Nakata, Yukihiko
2012
Global stability of nonresident computer virus models. Zbl 1307.34071
Muroya, Yoshiaki; Kuniya, Toshikazu
2015
Existence result for an age-structured SIS epidemic model with spatial diffusion. Zbl 1319.35274
Kuniya, Toshikazu; Oizumi, Ryo
2015
On global stability of a nonresident computer virus model. Zbl 1324.34099
Muroya, Yoshiaki; Li, Huaixing; Kuniya, Toshikazu
2014
Numerical approximation of the basic reproduction number for a class of age-structured epidemic models. Zbl 1377.92090
Kuniya, Toshikazu
2017
Global threshold dynamics of an infection age-structured SIR epidemic model with diffusion under the Dirichlet boundary condition. Zbl 1443.35157
Chekroun, Abdennasser; Kuniya, Toshikazu
2020
Further stability analysis for a multi-group SIRS epidemic model with varying total population size. Zbl 1314.92167
Muroya, Yoshiaki; Kuniya, Toshikazu
2014
Global stability of a multi-group SIS epidemic model with varying total population size. Zbl 1410.34214
Kuniya, Toshikazu; Muroya, Yoshiaki
2015
Stability of epidemic models with waning immunity. Zbl 1331.34159
Nakata, Yukihiko; Enatsu, Yoichi; Inaba, Hisashi; Kuniya, Toshikazu; Muroya, Yoshiaki; Takeuchi, Yasuhiro
2014
An infection age-space structured SIR epidemic model with Neumann boundary condition. Zbl 1456.35201
Chekroun, Abdennasser; Kuniya, Toshikazu
2020
The stability analysis of an SVEIR model with continuous age-structure in the exposed and infectious classes. Zbl 1448.92351
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
2015
Global behavior of SIS epidemic models with age structure and spatial heterogeneity. Zbl 1406.35433
Kuniya, Toshikazu; Inaba, Hisashi; Yang, Junyuan
2018
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
2019
Mathematical analysis of an age structured heroin-cocaine epidemic model. Zbl 1451.35231
Chekroun, Abdennasser; Frioui, Mohammed Nor; Kuniya, Toshikazu; Touaoula, Tarik Mohammed
2020
Global stability for a delayed multi-group SIRS epidemic model with cure rate and incomplete recovery rate. Zbl 1327.34131
Muroya, Yoshiaki; Kuniya, Toshikazu
2015
Threshold dynamics of an SIR epidemic model with hybrid of multigroup and patch structures. Zbl 1312.34086
Kuniya, Toshikazu; Muroya, Yoshiaki; Enatsu, Yoichi
2014
Delayed nonlocal reaction-diffusion model for hematopoietic stem cell dynamics with Dirichlet boundary conditions. Zbl 1387.35583
Adimy, M.; Chekroun, A.; Kuniya, T.
2017
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
2019
Hopf bifurcation in an age-structured SIR epidemic model. Zbl 1411.92275
Kuniya, Toshikazu
2019
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
2017
$$R_0$$ and the global behavior of an age-structured SIS epidemic model with periodicity and vertical transmission. Zbl 1327.92063
Kuniya, Toshikazu; Iannelli, Mimmo
2014
A note on global stability for malaria infections model with latencies. Zbl 1327.92068
Wang, Jinliang; Pang, Jingmei; Kuniya, Toshikazu
2014
Evaluation of the tuberculosis transmission of drug-resistant strains in mainland China. Zbl 1415.92200
Yang, Junyuan; Kuniya, Toshikazu; Xu, Fei; Chen, Yuming
2018
Threshold dynamics of an age-structured epidemic model with relapse and nonlinear incidence. Zbl 1404.92209
Yang, Junyuan; Chen, Yuming; Kuniya, Toshikazu
2017
Collocation of next-generation operators for computing the basic reproduction number of structured populations. Zbl 1453.92006
Breda, Dimitri; Kuniya, Toshikazu; Ripoll, Jordi; Vermiglio, Rossana
2020
Stability analysis of an age-structured SIR epidemic model with a reduction method to ODEs. Zbl 1404.92190
Kuniya, Toshikazu
2018
Competitive exclusion in a multi-strain SIS epidemic model on complex networks. Zbl 1406.35442
Yang, Junyuan; Kuniya, Toshikazu; Lu, Xiaofeng
2019
Traveling waves of a differential-difference diffusive Kermack-McKendrick epidemic model with age-structured protection phase. Zbl 1478.92171
Adimy, Mostafa; Chekroun, Abdennasser; Kuniya, Toshikazu
2022
A reaction-diffusion susceptible-vaccinated-infected-recovered model in a spatially heterogeneous environment with Dirichlet boundary condition. Zbl 07431548
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
2021
Global stability for a class of functional differential equations with distributed delay and non-monotone bistable nonlinearity. Zbl 1483.34099
Kuniya, Toshikazu; Touaoula, Tarik Mohammed
2020
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
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
2015
Correction: “Stability analysis of an age-structured SIR epidemic model with a reduction method to ODEs”. Zbl 1404.92191
Kuniya, Toshikazu
2018
Global stability of an age-structured epidemic model with general Lyapunov functional. Zbl 07567127
Chekroun, Abdennasser; Frioui, Mohammed Nor; Kuniya, Toshikazu; Touaoula, Tarik Mohammed
2019
Mathematical analysis for a multi-group SEIR epidemic model with age-dependent relapse. Zbl 1394.35522
Wang, J.; Guo, M.; Kuniya, T.
2018
Stability and existence results for a time-delayed nonlocal model of hematopoietic stem cells dynamics. Zbl 1390.35367
Chekroun, Abdennasser; Kuniya, Toshikazu
2018
Coupled reaction-diffusion and difference system of cell-cycle dynamics for hematopoiesis process with Dirichlet boundary conditions. Zbl 1420.92007
Adimy, Mostafa; Chekroun, Abdennasser; Kuniya, Toshikazu
2019
An infection age-space-structured SIR epidemic model with Dirichlet boundary condition. Zbl 1429.35111
Chekroun, Abdennasser; Kuniya, Toshikazu
2019
Mathematical analysis for an age-structured SIRS epidemic model. Zbl 07567281
Okuwa, Kento; Inaba, Hisashi; Kuniya, Toshikazu
2019
Traveling waves of a differential-difference diffusive Kermack-McKendrick epidemic model with age-structured protection phase. Zbl 1478.92171
Adimy, Mostafa; Chekroun, Abdennasser; Kuniya, Toshikazu
2022
A reaction-diffusion susceptible-vaccinated-infected-recovered model in a spatially heterogeneous environment with Dirichlet boundary condition. Zbl 07431548
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
2021
Analysis of a reaction-diffusion cholera epidemic model in a spatially heterogeneous environment. Zbl 1451.92317
Wang, Jinliang; Xie, Fanglin; Kuniya, Toshikazu
2020
Global threshold dynamics of an infection age-structured SIR epidemic model with diffusion under the Dirichlet boundary condition. Zbl 1443.35157
Chekroun, Abdennasser; Kuniya, Toshikazu
2020
An infection age-space structured SIR epidemic model with Neumann boundary condition. Zbl 1456.35201
Chekroun, Abdennasser; Kuniya, Toshikazu
2020
Mathematical analysis of an age structured heroin-cocaine epidemic model. Zbl 1451.35231
Chekroun, Abdennasser; Frioui, Mohammed Nor; Kuniya, Toshikazu; Touaoula, Tarik Mohammed
2020
Collocation of next-generation operators for computing the basic reproduction number of structured populations. Zbl 1453.92006
Breda, Dimitri; Kuniya, Toshikazu; Ripoll, Jordi; Vermiglio, Rossana
2020
Global stability for a class of functional differential equations with distributed delay and non-monotone bistable nonlinearity. Zbl 1483.34099
Kuniya, Toshikazu; Touaoula, Tarik Mohammed
2020
Analysis of an age-structured multi-group heroin epidemic model. Zbl 1428.92122
Wang, Jinliang; Wang, Jing; Kuniya, Toshikazu
2019
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
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
2019
Hopf bifurcation in an age-structured SIR epidemic model. Zbl 1411.92275
Kuniya, Toshikazu
2019
Competitive exclusion in a multi-strain SIS epidemic model on complex networks. Zbl 1406.35442
Yang, Junyuan; Kuniya, Toshikazu; Lu, Xiaofeng
2019
Global stability of an age-structured epidemic model with general Lyapunov functional. Zbl 07567127
Chekroun, Abdennasser; Frioui, Mohammed Nor; Kuniya, Toshikazu; Touaoula, Tarik Mohammed
2019
Coupled reaction-diffusion and difference system of cell-cycle dynamics for hematopoiesis process with Dirichlet boundary conditions. Zbl 1420.92007
Adimy, Mostafa; Chekroun, Abdennasser; Kuniya, Toshikazu
2019
An infection age-space-structured SIR epidemic model with Dirichlet boundary condition. Zbl 1429.35111
Chekroun, Abdennasser; Kuniya, Toshikazu
2019
Mathematical analysis for an age-structured SIRS epidemic model. Zbl 07567281
Okuwa, Kento; Inaba, Hisashi; Kuniya, Toshikazu
2019
Global dynamics of an SIR epidemic model with nonlocal diffusion. Zbl 1392.92102
Kuniya, Toshikazu; Wang, Jinliang
2018
Global behavior of SIS epidemic models with age structure and spatial heterogeneity. Zbl 1406.35433
Kuniya, Toshikazu; Inaba, Hisashi; Yang, Junyuan
2018
Evaluation of the tuberculosis transmission of drug-resistant strains in mainland China. Zbl 1415.92200
Yang, Junyuan; Kuniya, Toshikazu; Xu, Fei; Chen, Yuming
2018
Stability analysis of an age-structured SIR epidemic model with a reduction method to ODEs. Zbl 1404.92190
Kuniya, Toshikazu
2018
Correction: “Stability analysis of an age-structured SIR epidemic model with a reduction method to ODEs”. Zbl 1404.92191
Kuniya, Toshikazu
2018
Mathematical analysis for a multi-group SEIR epidemic model with age-dependent relapse. Zbl 1394.35522
Wang, J.; Guo, M.; Kuniya, T.
2018
Stability and existence results for a time-delayed nonlocal model of hematopoietic stem cells dynamics. Zbl 1390.35367
Chekroun, Abdennasser; Kuniya, Toshikazu
2018
Lyapunov functions and global stability for a spatially diffusive SIR epidemic model. Zbl 1373.35320
Kuniya, Toshikazu; Wang, Jinliang
2017
Numerical approximation of the basic reproduction number for a class of age-structured epidemic models. Zbl 1377.92090
Kuniya, Toshikazu
2017
Delayed nonlocal reaction-diffusion model for hematopoietic stem cell dynamics with Dirichlet boundary conditions. Zbl 1387.35583
Adimy, M.; Chekroun, A.; Kuniya, T.
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
2017
Threshold dynamics of an age-structured epidemic model with relapse and nonlinear incidence. Zbl 1404.92209
Yang, Junyuan; Chen, Yuming; Kuniya, Toshikazu
2017
Dynamics of a PDE viral infection model incorporating cell-to-cell transmission. Zbl 1362.37165
Wang, Jinliang; Yang, Jie; Kuniya, Toshikazu
2016
The dynamics of an SVIR epidemiological model with infection age. Zbl 1338.35429
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
2016
A note on dynamics of an age-of-infection cholera model. Zbl 1326.92072
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
2016
A multi-group SIR epidemic model with age structure. Zbl 1356.35263
Kuniya, Toshikazu; Wang, Jinliang; Inaba, Hisashi
2016
Global dynamics for a class of age-infection HIV models with nonlinear infection rate. Zbl 1320.92077
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
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
2015
Mathematical analysis for an age-structured HIV infection model with saturation infection rate. Zbl 1325.92085
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
2015
Global stability of nonresident computer virus models. Zbl 1307.34071
Muroya, Yoshiaki; Kuniya, Toshikazu
2015
Existence result for an age-structured SIS epidemic model with spatial diffusion. Zbl 1319.35274
Kuniya, Toshikazu; Oizumi, Ryo
2015
Global stability of a multi-group SIS epidemic model with varying total population size. Zbl 1410.34214
Kuniya, Toshikazu; Muroya, Yoshiaki
2015
The stability analysis of an SVEIR model with continuous age-structure in the exposed and infectious classes. Zbl 1448.92351
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
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
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
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
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
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
2014
Global stability of a multi-group SIS epidemic model for population migration. Zbl 1308.34065
Kuniya, Toshikazu; Muroya, Yoshiaki
2014
Existence of a nontrivial periodic solution in an age-structured SIR epidemic model with time periodic coefficients. Zbl 1311.92178
Kuniya, Toshikazu
2014
On global stability of a nonresident computer virus model. Zbl 1324.34099
Muroya, Yoshiaki; Li, Huaixing; Kuniya, Toshikazu
2014
Further stability analysis for a multi-group SIRS epidemic model with varying total population size. Zbl 1314.92167
Muroya, Yoshiaki; Kuniya, Toshikazu
2014
Stability of epidemic models with waning immunity. Zbl 1331.34159
Nakata, Yukihiko; Enatsu, Yoichi; Inaba, Hisashi; Kuniya, Toshikazu; Muroya, Yoshiaki; Takeuchi, Yasuhiro
2014
Threshold dynamics of an SIR epidemic model with hybrid of multigroup and patch structures. Zbl 1312.34086
Kuniya, Toshikazu; Muroya, Yoshiaki; Enatsu, Yoichi
2014
$$R_0$$ and the global behavior of an age-structured SIS epidemic model with periodicity and vertical transmission. Zbl 1327.92063
Kuniya, Toshikazu; Iannelli, Mimmo
2014
A note on global stability for malaria infections model with latencies. Zbl 1327.92068
Wang, Jinliang; Pang, Jingmei; Kuniya, Toshikazu
2014
Global stability for a multi-group SIRS epidemic model with varying population sizes. Zbl 1315.34052
Muroya, Yoshiaki; Enatsu, Yoichi; Kuniya, Toshikazu
2013
Global stability of a multi-group SVIR epidemic model. Zbl 1315.34051
Kuniya, Toshikazu
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
2013
Endemic threshold results for an age-structured SIS epidemic model with periodic parameters. Zbl 1263.92041
Kuniya, Toshikazu; Inaba, Hisashi
2013
Permanence and extinction for a nonautonomous SEIRS epidemic model. Zbl 1245.34038
Kuniya, Toshikazu; Nakata, Yukihiko
2012
Global stability analysis with a discretization approach for an age-structured multigroup SIR epidemic model. Zbl 1219.35330
Kuniya, Toshikazu
2011
Global dynamics of a class of SEIRS epidemic models in a periodic environment. Zbl 1184.34056
Nakata, Yukihiko; Kuniya, Toshikazu
2010
all top 5

### Cited by 801 Authors

 43 Kuniya, Toshikazu 36 Wang, Jinliang 16 Teng, Zhi-dong 13 Yang, Junyuan 12 Xu, Rui 10 Jiang, Daqing 10 Muroya, Yoshiaki 10 Zhang, Ran 9 Chekroun, Abdennasser 9 Elaiw, Ahmed M. 9 Meng, Xinzhu 9 Xu, Jinhu 8 Jin, Zhen 8 Liu, Shengqiang 8 Wang, Wei 7 Geng, Yan 7 Liu, Qun 7 Yang, Yu 7 Zhang, Long 6 Alshamrani, Noura H. 6 Chen, Yuming 6 Djilali, Salih 6 Inaba, Hisashi 6 Lin, Jiazhe 6 Liu, Lili 6 Ma, Wanbiao 6 Wang, Xiaoyan 5 Avila-Vales, Eric Jose 5 Bentout, Soufiane 5 Ding, Xiaohua 5 Gao, Shujing 5 Khan, Asaf 5 Liu, Xianning 5 Pérez, Ángel G. C. 5 Qiu, Zhipeng 5 Ruan, Shigui 5 Zaman, Gul 5 Zhang, Qimin 5 Zhang, Xian 5 Zhang, Zizhen 5 Zhou, Yicang 4 Fan, Dejun 4 Feng, Zhaosheng 4 Gao, Jianguo 4 Guo, Ting 4 Guo, Ying 4 Liu, Zhijun 4 Pareschi, Lorenzo 4 Sun, Guiquan 4 Sun, Hongquan 4 Tian, Xiaohong 4 Tripathi, Jai Prakash 4 Vermiglio, Rossana 4 Wang, Lianwen 4 Wang, Xia 4 Yang, Xiaofan 4 Yang, Zhanwen 4 Zhang, Fengqin 4 Zhang, Tonghua 3 Abbas, Syed 3 Abdurahman, Xamxinur 3 Adimy, Mostafa 3 Bai, Zhenguo 3 Bertaglia, Giulia 3 Boscheri, Walter 3 Breda, Dimitri 3 Buonomo, Bruno 3 Cai, Yongli 3 Cao, Jinde 3 Cheng, Chang-Yuan 3 de la Sen, Manuel 3 Dimarco, Giacomo 3 Dong, Xiu 3 Dong, Yueping 3 d’Onofrio, Alberto 3 El Fatini, Mohamed 3 Enatsu, Yoichi 3 Feng, Tao 3 Feng, Xiaomei 3 Hayat, Tasawar 3 Hsu, Cheng-Hsiung 3 Huang, Gang 3 Huo, Hai-Feng 3 Ibeas, Asier 3 Jia, Jianwen 3 Kang, Hao 3 Kang, Yun 3 Kundu, Soumen 3 Lahrouz, Aadil 3 Lang, Jiying 3 Luo, Xiaofeng 3 Luo, Yantao 3 Mateus, Joaquim P. 3 Miao, Hui 3 Nakata, Yukihiko 3 Ngonghala, Calistus N. 3 Qi, Haokun 3 Ren, Xinzhi 3 Rezunenko, Oleksandr V”yacheslavovych 3 Rong, Libin ...and 701 more Authors
all top 5

### Cited in 113 Serials

 43 Mathematical Biosciences and Engineering 26 Nonlinear Analysis. Real World Applications 26 Discrete and Continuous Dynamical Systems. Series B 26 International Journal of Biomathematics 25 Advances in Difference Equations 24 Applied Mathematics and Computation 21 Physica A 20 Journal of Mathematical Analysis and Applications 13 Journal of Mathematical Biology 12 Journal of the Franklin Institute 11 Mathematics and Computers in Simulation 10 Applied Mathematics Letters 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 Journal of Biological Dynamics 8 Mathematical Methods in the Applied Sciences 8 Bulletin of Mathematical Biology 8 Complexity 8 Discrete Dynamics in Nature and Society 8 Communications in Nonlinear Science and Numerical Simulation 7 Applicable Analysis 7 Chaos, Solitons and Fractals 7 Applied Mathematical Modelling 7 Nonlinear Dynamics 6 Abstract and Applied Analysis 6 Journal of Theoretical Biology 6 Journal of Applied Analysis and Computation 5 Computers & Mathematics with Applications 5 Mathematical Problems in Engineering 5 Journal of Applied Mathematics and Computing 4 Journal of Differential Equations 4 Computational and Applied Mathematics 4 Journal of Biological Systems 4 Communications on Pure and Applied Analysis 4 Mathematical Modelling of Natural Phenomena 4 Journal of Nonlinear Science and Applications 4 AIMS Mathematics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Acta Applicandae Mathematicae 3 Fractals 3 Chaos 3 Nonlinear Analysis. Modelling and Control 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Computational and Applied Mathematics 2 Proceedings of the American Mathematical Society 2 Ricerche di Matematica 2 Stochastic Analysis and Applications 2 Acta Mathematicae Applicatae Sinica. English Series 2 SIAM Journal on Applied Mathematics 2 Journal of Dynamics and Differential Equations 2 Journal of Nonlinear Science 2 Filomat 2 Dynamical Systems 2 Journal of Applied Mathematics 2 Applications and Applied Mathematics 2 Computational & Mathematical Methods in Medicine 2 Mathematics in Applied Sciences and Engineering 1 Journal of Mathematical Physics 1 Mathematical Biosciences 1 Quaestiones Mathematicae 1 Revista Colombiana de Matemáticas 1 Studies in Applied Mathematics 1 Circuits, Systems, and Signal Processing 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Applied Numerical Mathematics 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Scientific Computing 1 Computational Mathematics and Modeling 1 Japan Journal of Industrial and Applied Mathematics 1 Mathematica Bohemica 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of the Egyptian Mathematical Society 1 Annals of Mathematics and Artificial Intelligence 1 Journal of Difference Equations and Applications 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Differential Equations and Dynamical Systems 1 Journal of Inequalities and Applications 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 Journal of Systems Science and Complexity 1 Computational Methods in Applied Mathematics 1 Stochastics and Dynamics 1 SIAM Journal on Applied Dynamical Systems 1 South East Asian Journal of Mathematics and Mathematical Sciences 1 International Journal of Computational Methods 1 Mediterranean Journal of Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Proyecciones 1 Nonlinear Analysis. Hybrid Systems 1 Advances in Mathematical Physics ...and 13 more Serials
all top 5

### Cited in 22 Fields

 461 Biology and other natural sciences (92-XX) 223 Ordinary differential equations (34-XX) 157 Partial differential equations (35-XX) 61 Dynamical systems and ergodic theory (37-XX) 32 Systems theory; control (93-XX) 28 Probability theory and stochastic processes (60-XX) 21 Numerical analysis (65-XX) 18 Statistical mechanics, structure of matter (82-XX) 15 Operator theory (47-XX) 13 Computer science (68-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Combinatorics (05-XX) 8 Integral equations (45-XX) 6 Difference and functional equations (39-XX) 3 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Operations research, mathematical programming (90-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX)