Adimy, Mostafa; Chekroun, Abdennasser; Kuniya, Toshikazu; Meghelli, Hanene Global stability of a SEIR discrete delay differential-difference system with protection phase. (English) Zbl 07815977 Math. Methods Appl. Sci. 46, No. 17, 17818-17838 (2023). MSC: 34D23 37N25 92D30 34K06 PDFBibTeX XMLCite \textit{M. Adimy} et al., Math. Methods Appl. Sci. 46, No. 17, 17818--17838 (2023; Zbl 07815977) Full Text: DOI
Bentout, Soufiane; Djilali, Salih; Kuniya, Toshikazu; Wang, Jinliang Mathematical analysis of a vaccination epidemic model with nonlocal diffusion. (English) Zbl 07783895 Math. Methods Appl. Sci. 46, No. 9, 10970-10994 (2023). MSC: 35Q92 92D30 PDFBibTeX XMLCite \textit{S. Bentout} et al., Math. Methods Appl. Sci. 46, No. 9, 10970--10994 (2023; Zbl 07783895) Full Text: DOI
Wang, Jinliang; Cao, Meiyu; Kuniya, Toshikazu Dynamical analysis of an age-space structured malaria epidemic model. (English) Zbl 1526.35213 Z. Angew. Math. Phys. 74, No. 6, Paper No. 214, 27 p. (2023). MSC: 35K57 35B40 35K51 92D30 PDFBibTeX XMLCite \textit{J. Wang} et al., Z. Angew. Math. Phys. 74, No. 6, Paper No. 214, 27 p. (2023; Zbl 1526.35213) Full Text: DOI OA License
Adimy, Mostafa; Chekroun, Abdennasser; Kuniya, Toshikazu Global asymptotic stability for a distributed delay differential-difference system of a Kermack-McKendrick SIR model. (English) Zbl 1520.92054 Appl. Anal. 102, No. 12, 3463-3475 (2023). MSC: 92D30 34K60 37N25 PDFBibTeX XMLCite \textit{M. Adimy} et al., Appl. Anal. 102, No. 12, 3463--3475 (2023; Zbl 1520.92054) Full Text: DOI
Sano, Hideki; Kuniya, Toshikazu Observer design for an infectious disease PDE model considering reinfection. (English) Zbl 1520.92078 Automatica 155, Article ID 111091, 10 p. (2023). MSC: 92D30 93B53 35L40 93D23 PDFBibTeX XMLCite \textit{H. Sano} and \textit{T. Kuniya}, Automatica 155, Article ID 111091, 10 p. (2023; Zbl 1520.92078) Full Text: DOI
Wang, Jinliang; Wu, Wenjing; Kuniya, Toshikazu Global threshold analysis on a diffusive host-pathogen model with hyperinfectivity and nonlinear incidence functions. (English) Zbl 07594658 Math. Comput. Simul. 203, 767-802 (2023). MSC: 92-XX 35-XX PDFBibTeX XMLCite \textit{J. Wang} et al., Math. Comput. Simul. 203, 767--802 (2023; Zbl 07594658) Full Text: DOI
Kuniya, Toshikazu Recurrent epidemic waves in a delayed epidemic model with quarantine. (English) Zbl 1497.92270 J. Biol. Dyn. 16, No. 1, 619-639 (2022). MSC: 92D30 34K13 34K20 PDFBibTeX XMLCite \textit{T. Kuniya}, J. Biol. Dyn. 16, No. 1, 619--639 (2022; Zbl 1497.92270) Full Text: DOI
Wang, Jinliang; Wu, Wenjing; Kuniya, Toshikazu Analysis of a degenerated reaction-diffusion cholera model with spatial heterogeneity and stabilized total humans. (English) Zbl 07529657 Math. Comput. Simul. 198, 151-171 (2022). MSC: 92-XX 35-XX PDFBibTeX XMLCite \textit{J. Wang} et al., Math. Comput. Simul. 198, 151--171 (2022; Zbl 07529657) Full Text: DOI
Wang, Jinliang; Wu, Xiaoqing; Kuniya, Toshikazu Analysis of a diffusive HBV model with logistic proliferation and non-cytopathic antiviral mechanisms. (English) Zbl 1483.35293 Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106110, 20 p. (2022). MSC: 35Q92 35K57 35J57 35B40 92D25 92D30 PDFBibTeX XMLCite \textit{J. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106110, 20 p. (2022; Zbl 1483.35293) Full Text: DOI
Adimy, Mostafa; Chekroun, Abdennasser; Kuniya, Toshikazu Traveling waves of a differential-difference diffusive Kermack-McKendrick epidemic model with age-structured protection phase. (English) Zbl 1478.92171 J. Math. Anal. Appl. 505, No. 1, Article ID 125464, 27 p. (2022). Reviewer: Hongying Shu (Xi’an) MSC: 92D30 35C07 35K57 PDFBibTeX XMLCite \textit{M. Adimy} et al., J. Math. Anal. Appl. 505, No. 1, Article ID 125464, 27 p. (2022; Zbl 1478.92171) Full Text: DOI
Okuwa, Kento; Inaba, Hisashi; Kuniya, Toshikazu An age-structured epidemic model with boosting and waning of immune status. (English) Zbl 1508.92287 Math. Biosci. Eng. 18, No. 5, 5707-5736 (2021). Reviewer: Jiaying Zhou (Shenzhen) MSC: 92D30 35Q92 PDFBibTeX XMLCite \textit{K. Okuwa} et al., Math. Biosci. Eng. 18, No. 5, 5707--5736 (2021; Zbl 1508.92287) Full Text: DOI
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu A reaction-diffusion susceptible-vaccinated-infected-recovered model in a spatially heterogeneous environment with Dirichlet boundary condition. (English) Zbl 07431548 Math. Comput. Simul. 190, 848-865 (2021). MSC: 35-XX 92-XX PDFBibTeX XMLCite \textit{J. Wang} et al., Math. Comput. Simul. 190, 848--865 (2021; Zbl 07431548) Full Text: DOI
Kuniya, Toshikazu On the relationship between the basic reproduction number and the shape of the spatial domain. (English) Zbl 1471.92322 Hattaf, Khalid (ed.) et al., Mathematical modelling and analysis of infectious diseases. Cham: Springer. Stud. Syst. Decis. Control 302, 37-59 (2020). MSC: 92D30 PDFBibTeX XMLCite \textit{T. Kuniya}, Stud. Syst. Decis. Control 302, 37--59 (2020; Zbl 1471.92322) Full Text: DOI
Kuniya, Toshikazu; Touaoula, Tarik Mohammed Global stability for a class of functional differential equations with distributed delay and non-monotone bistable nonlinearity. (English) Zbl 1483.34099 Math. Biosci. Eng. 17, No. 6, 7332-7352 (2020). Reviewer: Zhanyuan Hou (London) MSC: 34K20 92D25 34K21 PDFBibTeX XMLCite \textit{T. Kuniya} and \textit{T. M. Touaoula}, Math. Biosci. Eng. 17, No. 6, 7332--7352 (2020; Zbl 1483.34099) Full Text: DOI
Chekroun, Abdennasser; Kuniya, Toshikazu An infection age-space structured SIR epidemic model with Neumann boundary condition. (English) Zbl 1456.35201 Appl. Anal. 99, No. 11, 1972-1985 (2020). MSC: 35Q92 37N25 92D30 35R09 45D05 PDFBibTeX XMLCite \textit{A. Chekroun} and \textit{T. Kuniya}, Appl. Anal. 99, No. 11, 1972--1985 (2020; Zbl 1456.35201) Full Text: DOI
Breda, Dimitri; Kuniya, Toshikazu; Ripoll, Jordi; Vermiglio, Rossana Collocation of next-generation operators for computing the basic reproduction number of structured populations. (English) Zbl 1453.92006 J. Sci. Comput. 85, No. 2, Paper No. 40, 32 p. (2020). MSC: 92-08 65J10 65L60 37N25 47A75 92D25 PDFBibTeX XMLCite \textit{D. Breda} et al., J. Sci. Comput. 85, No. 2, Paper No. 40, 32 p. (2020; Zbl 1453.92006) Full Text: DOI
Chekroun, Abdennasser; Frioui, Mohammed Nor; Kuniya, Toshikazu; Touaoula, Tarik Mohammed Mathematical analysis of an age structured heroin-cocaine epidemic model. (English) Zbl 1451.35231 Discrete Contin. Dyn. Syst., Ser. B 25, No. 11, 4449-4477 (2020). MSC: 35Q92 37N25 92D30 35B35 PDFBibTeX XMLCite \textit{A. Chekroun} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 11, 4449--4477 (2020; Zbl 1451.35231) Full Text: DOI
Wang, Jinliang; Xie, Fanglin; Kuniya, Toshikazu Analysis of a reaction-diffusion cholera epidemic model in a spatially heterogeneous environment. (English) Zbl 1451.92317 Commun. Nonlinear Sci. Numer. Simul. 80, Article ID 104951, 20 p. (2020). MSC: 92D30 35K57 PDFBibTeX XMLCite \textit{J. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 80, Article ID 104951, 20 p. (2020; Zbl 1451.92317) Full Text: DOI
Chekroun, Abdennasser; Kuniya, Toshikazu Global threshold dynamics of an infection age-structured SIR epidemic model with diffusion under the Dirichlet boundary condition. (English) Zbl 1443.35157 J. Differ. Equations 269, No. 8, 117-148 (2020). MSC: 35Q92 92D30 35B40 35K51 35K20 PDFBibTeX XMLCite \textit{A. Chekroun} and \textit{T. Kuniya}, J. Differ. Equations 269, No. 8, 117--148 (2020; Zbl 1443.35157) Full Text: DOI
Okuwa, Kento; Inaba, Hisashi; Kuniya, Toshikazu Mathematical analysis for an age-structured SIRS epidemic model. (English) Zbl 1497.92291 Math. Biosci. Eng. 16, No. 5, 6071-6102 (2019). MSC: 92D30 35B35 35B32 PDFBibTeX XMLCite \textit{K. Okuwa} et al., Math. Biosci. Eng. 16, No. 5, 6071--6102 (2019; Zbl 1497.92291) Full Text: DOI
Chekroun, Abdennasser; Frioui, Mohammed Nor; Kuniya, Toshikazu; Touaoula, Tarik Mohammed Global stability of an age-structured epidemic model with general Lyapunov functional. (English) Zbl 1497.92243 Math. Biosci. Eng. 16, No. 3, 1525-1553 (2019). MSC: 92D30 34D23 PDFBibTeX XMLCite \textit{A. Chekroun} et al., Math. Biosci. Eng. 16, No. 3, 1525--1553 (2019; Zbl 1497.92243) Full Text: DOI
Chekroun, Abdennasser; Kuniya, Toshikazu An infection age-space-structured SIR epidemic model with Dirichlet boundary condition. (English) Zbl 1429.35111 Math. Model. Nat. Phenom. 14, No. 5, Paper No. 505, 22 p. (2019). MSC: 35K20 35Q92 92D30 PDFBibTeX XMLCite \textit{A. Chekroun} and \textit{T. Kuniya}, Math. Model. Nat. Phenom. 14, No. 5, Paper No. 505, 22 p. (2019; Zbl 1429.35111) Full Text: DOI
Wang, Jinliang; Wang, Jing; Kuniya, Toshikazu Analysis of an age-structured multi-group heroin epidemic model. (English) Zbl 1428.92122 Appl. Math. Comput. 347, 78-100 (2019). MSC: 92D30 34K20 34D23 PDFBibTeX XMLCite \textit{J. Wang} et al., Appl. Math. Comput. 347, 78--100 (2019; Zbl 1428.92122) Full Text: DOI
Adimy, Mostafa; Chekroun, Abdennasser; Kuniya, Toshikazu Coupled reaction-diffusion and difference system of cell-cycle dynamics for hematopoiesis process with Dirichlet boundary conditions. (English) Zbl 1420.92007 J. Math. Anal. Appl. 479, No. 1, 1030-1068 (2019). MSC: 92C15 92C37 35A02 35B09 34K20 35B35 35Q92 PDFBibTeX XMLCite \textit{M. Adimy} et al., J. Math. Anal. Appl. 479, No. 1, 1030--1068 (2019; Zbl 1420.92007) Full Text: DOI HAL
Kitagawa, Kosaku; Kuniya, Toshikazu; Nakaoka, Shinji; Asai, Yusuke; Watashi, Koichi; Iwami, Shingo Mathematical analysis of a transformed ODE from a PDE multiscale model of hepatitis C virus infection. (English) Zbl 1415.92184 Bull. Math. Biol. 81, No. 5, 1427-1441 (2019). MSC: 92D30 35Q92 34D23 PDFBibTeX XMLCite \textit{K. Kitagawa} et al., Bull. Math. Biol. 81, No. 5, 1427--1441 (2019; Zbl 1415.92184) Full Text: DOI
Kuniya, Toshikazu Hopf bifurcation in an age-structured SIR epidemic model. (English) Zbl 1411.92275 Appl. Math. Lett. 92, 22-28 (2019). MSC: 92D30 35Q92 35B32 PDFBibTeX XMLCite \textit{T. Kuniya}, Appl. Math. Lett. 92, 22--28 (2019; Zbl 1411.92275) Full Text: DOI
Kuniya, Toshikazu Global behavior of a multi-group SIR epidemic model with age structure and an application to the chlamydia epidemic in Japan. (English) Zbl 1415.35264 SIAM J. Appl. Math. 79, No. 1, 321-340 (2019). MSC: 35Q92 37N25 92D30 PDFBibTeX XMLCite \textit{T. Kuniya}, SIAM J. Appl. Math. 79, No. 1, 321--340 (2019; Zbl 1415.35264) Full Text: DOI
Yang, Junyuan; Kuniya, Toshikazu; Lu, Xiaofeng Competitive exclusion in a multi-strain SIS epidemic model on complex networks. (English) Zbl 1406.35442 Electron. J. Differ. Equ. 2019, Paper No. 06, 30 p. (2019). MSC: 35Q92 35R02 37N25 92D30 35B35 PDFBibTeX XMLCite \textit{J. Yang} et al., Electron. J. Differ. Equ. 2019, Paper No. 06, 30 p. (2019; Zbl 1406.35442) Full Text: Link
Yang, Junyuan; Kuniya, Toshikazu; Xu, Fei; Chen, Yuming Evaluation of the tuberculosis transmission of drug-resistant strains in mainland China. (English) Zbl 1415.92200 J. Biol. Syst. 26, No. 4, 533-552 (2018). MSC: 92D30 92C60 PDFBibTeX XMLCite \textit{J. Yang} et al., J. Biol. Syst. 26, No. 4, 533--552 (2018; Zbl 1415.92200) Full Text: DOI
Kuniya, Toshikazu; Inaba, Hisashi; Yang, Junyuan Global behavior of SIS epidemic models with age structure and spatial heterogeneity. (English) Zbl 1406.35433 Japan J. Ind. Appl. Math. 35, No. 2, 669-706 (2018). MSC: 35Q92 37N25 46N60 92D30 PDFBibTeX XMLCite \textit{T. Kuniya} et al., Japan J. Ind. Appl. Math. 35, No. 2, 669--706 (2018; Zbl 1406.35433) Full Text: DOI
Kuniya, Toshikazu Correction: “Stability analysis of an age-structured SIR epidemic model with a reduction method to ODEs”. (English) Zbl 1404.92191 Mathematics 6, No. 11, Paper No. 252, 1 p. (2018). MSC: 92D30 34D20 34C60 34D05 PDFBibTeX XMLCite \textit{T. Kuniya}, Mathematics 6, No. 11, Paper No. 252, 1 p. (2018; Zbl 1404.92191) Full Text: DOI
Kuniya, Toshikazu Stability analysis of an age-structured SIR epidemic model with a reduction method to ODEs. (English) Zbl 1404.92190 Mathematics 6, No. 9, Paper No. 147, 10 p. (2018); correction ibid. 6, No. 11, Paper No. 252, 1 p. (2018). MSC: 92D30 34C60 34D05 34D20 35Q92 PDFBibTeX XMLCite \textit{T. Kuniya}, Mathematics 6, No. 9, Paper No. 147, 10 p. (2018; Zbl 1404.92190) Full Text: DOI
Wang, J.; Guo, M.; Kuniya, T. Mathematical analysis for a multi-group SEIR epidemic model with age-dependent relapse. (English) Zbl 1394.35522 Appl. Anal. 97, No. 10, 1751-1770 (2018). MSC: 35Q92 37N25 92D30 35B40 35B41 35B35 PDFBibTeX XMLCite \textit{J. Wang} et al., Appl. Anal. 97, No. 10, 1751--1770 (2018; Zbl 1394.35522) Full Text: DOI
Röst, Gergely; Kuniya, Toshikazu; Moghadas, Seyed M.; Wu, Jianhong Global dynamics of an epidemiological model with age-of-infection dependent treatment rate. (English) Zbl 1395.92163 Ric. Mat. 67, No. 1, 125-140 (2018). MSC: 92D30 34K20 34D23 PDFBibTeX XMLCite \textit{G. Röst} et al., Ric. Mat. 67, No. 1, 125--140 (2018; Zbl 1395.92163) Full Text: DOI Link
Kuniya, Toshikazu; Wang, Jinliang Global dynamics of an SIR epidemic model with nonlocal diffusion. (English) Zbl 1392.92102 Nonlinear Anal., Real World Appl. 43, 262-282 (2018). MSC: 92D30 35Q92 35K57 37B25 PDFBibTeX XMLCite \textit{T. Kuniya} and \textit{J. Wang}, Nonlinear Anal., Real World Appl. 43, 262--282 (2018; Zbl 1392.92102) Full Text: DOI
Chekroun, Abdennasser; Kuniya, Toshikazu Stability and existence results for a time-delayed nonlocal model of hematopoietic stem cells dynamics. (English) Zbl 1390.35367 J. Math. Anal. Appl. 463, No. 2, 1147-1168 (2018). MSC: 35Q92 92C37 35K57 35A01 35A02 35B40 35B09 92C17 35B35 PDFBibTeX XMLCite \textit{A. Chekroun} and \textit{T. Kuniya}, J. Math. Anal. Appl. 463, No. 2, 1147--1168 (2018; Zbl 1390.35367) Full Text: DOI
Enatsu, Yoichi; Wang, Jinliang; Kuniya, Toshikazu Impact of non-separable incidence rates on global dynamics of virus model with cell-mediated, humoral immune responses. (English) Zbl 1412.34211 J. Nonlinear Sci. Appl. 10, No. 10, 5201-5218 (2017). MSC: 34K20 34K25 92D30 PDFBibTeX XMLCite \textit{Y. Enatsu} et al., J. Nonlinear Sci. Appl. 10, No. 10, 5201--5218 (2017; Zbl 1412.34211) Full Text: DOI
Yang, Junyuan; Chen, Yuming; Kuniya, Toshikazu Threshold dynamics of an age-structured epidemic model with relapse and nonlinear incidence. (English) Zbl 1404.92209 IMA J. Appl. Math. 82, No. 3, 629-655 (2017). MSC: 92D30 34D23 PDFBibTeX XMLCite \textit{J. Yang} et al., IMA J. Appl. Math. 82, No. 3, 629--655 (2017; Zbl 1404.92209) Full Text: DOI
Adimy, M.; Chekroun, A.; Kuniya, T. Delayed nonlocal reaction-diffusion model for hematopoietic stem cell dynamics with Dirichlet boundary conditions. (English) Zbl 1387.35583 Math. Model. Nat. Phenom. 12, No. 6, 1-22 (2017). MSC: 35Q92 92C37 35B35 37N25 35K57 35A01 35A02 35B32 35B09 PDFBibTeX XMLCite \textit{M. Adimy} et al., Math. Model. Nat. Phenom. 12, No. 6, 1--22 (2017; Zbl 1387.35583) Full Text: DOI
Kuniya, Toshikazu Numerical approximation of the basic reproduction number for a class of age-structured epidemic models. (English) Zbl 1377.92090 Appl. Math. Lett. 73, 106-112 (2017). MSC: 92D30 47A10 35Q92 PDFBibTeX XMLCite \textit{T. Kuniya}, Appl. Math. Lett. 73, 106--112 (2017; Zbl 1377.92090) Full Text: DOI
Kuniya, Toshikazu; Wang, Jinliang Lyapunov functions and global stability for a spatially diffusive SIR epidemic model. (English) Zbl 1373.35320 Appl. Anal. 96, No. 11, 1935-1960 (2017). MSC: 35Q92 37N25 92D30 35B40 34D23 PDFBibTeX XMLCite \textit{T. Kuniya} and \textit{J. Wang}, Appl. Anal. 96, No. 11, 1935--1960 (2017; Zbl 1373.35320) Full Text: DOI
Wang, Jinliang; Liu, Xianning; Kuniya, Toshikazu; Pang, Jingmei Global stability for multi-group SIR and SEIR epidemic models with age-dependent susceptibility. (English) Zbl 1364.92055 Discrete Contin. Dyn. Syst., Ser. B 22, No. 7, 2795-2812 (2017). MSC: 92D30 35F31 34D23 PDFBibTeX XMLCite \textit{J. Wang} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 7, 2795--2812 (2017; Zbl 1364.92055) Full Text: DOI
Muroya, Yoshiaki; Kuniya, Toshikazu; Enatsu, Yoichi Global analysis of a multi-group SIR epidemic model with nonlinear incidence rates and distributed moving delays between patches. (English) Zbl 1389.34270 Electron. J. Qual. Theory Differ. Equ. 2016, Suppl., Paper No. 16, 36 p. (2016). MSC: 34K60 34K20 34K25 92D30 PDFBibTeX XMLCite \textit{Y. Muroya} et al., Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 16, 36 p. (2016; Zbl 1389.34270) Full Text: DOI Link
Kuniya, Toshikazu; Wang, Jinliang; Inaba, Hisashi A multi-group SIR epidemic model with age structure. (English) Zbl 1356.35263 Discrete Contin. Dyn. Syst., Ser. B 21, No. 10, 3515-3550 (2016). MSC: 35Q92 92D30 37N25 34B40 35B35 PDFBibTeX XMLCite \textit{T. Kuniya} et al., Discrete Contin. Dyn. Syst., Ser. B 21, No. 10, 3515--3550 (2016; Zbl 1356.35263) Full Text: DOI
Wang, Jinliang; Yang, Jie; Kuniya, Toshikazu Dynamics of a PDE viral infection model incorporating cell-to-cell transmission. (English) Zbl 1362.37165 J. Math. Anal. Appl. 444, No. 2, 1542-1564 (2016). Reviewer: Stefanie Sonner (Graz) MSC: 37N25 92D30 37B25 35Q92 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Math. Anal. Appl. 444, No. 2, 1542--1564 (2016; Zbl 1362.37165) Full Text: DOI
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu The dynamics of an SVIR epidemiological model with infection age. (English) Zbl 1338.35429 IMA J. Appl. Math. 81, No. 2, 321-343 (2016). MSC: 35Q82 92D30 PDFBibTeX XMLCite \textit{J. Wang} et al., IMA J. Appl. Math. 81, No. 2, 321--343 (2016; Zbl 1338.35429) Full Text: DOI
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu A note on dynamics of an age-of-infection cholera model. (English) Zbl 1326.92072 Math. Biosci. Eng. 13, No. 1, 227-247 (2016). MSC: 92D30 35B35 PDFBibTeX XMLCite \textit{J. Wang} et al., Math. Biosci. Eng. 13, No. 1, 227--247 (2016; Zbl 1326.92072) Full Text: DOI
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu The stability analysis of an SVEIR model with continuous age-structure in the exposed and infectious classes. (English) Zbl 1448.92351 J. Biol. Dyn. 9, No. 1, 73-101 (2015). Reviewer: Jason Polak (Montréal) MSC: 92D30 34D23 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Biol. Dyn. 9, No. 1, 73--101 (2015; Zbl 1448.92351) Full Text: DOI
Kuniya, Toshikazu; Muroya, Yoshiaki Global stability of a multi-group SIS epidemic model with varying total population size. (English) Zbl 1410.34214 Appl. Math. Comput. 265, 785-798 (2015). MSC: 34K20 34K60 92D30 34C60 34D23 PDFBibTeX XMLCite \textit{T. Kuniya} and \textit{Y. Muroya}, Appl. Math. Comput. 265, 785--798 (2015; Zbl 1410.34214) Full Text: DOI
Wang, Jinliang; Muroya, Yoshiaki; Kuniya, Toshikazu Global stability of a time-delayed multi-group SIS epidemic model with nonlinear incidence rates and patch structure. (English) Zbl 1330.34127 J. Nonlinear Sci. Appl. 8, No. 5, 578-599 (2015). MSC: 34K60 34K20 92D30 34K21 34K25 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Nonlinear Sci. Appl. 8, No. 5, 578--599 (2015; Zbl 1330.34127) Full Text: DOI Link
Muroya, Yoshiaki; Kuniya, Toshikazu Global stability for a delayed multi-group SIRS epidemic model with cure rate and incomplete recovery rate. (English) Zbl 1327.34131 Int. J. Biomath. 8, No. 4, Article ID 1550048, 30 p. (2015). MSC: 34K60 34K20 34K25 92D30 PDFBibTeX XMLCite \textit{Y. Muroya} and \textit{T. Kuniya}, Int. J. Biomath. 8, No. 4, Article ID 1550048, 30 p. (2015; Zbl 1327.34131) Full Text: DOI
Enatsu, Yoichi; Kuniya, Toshikazu; Muroya, Yoshiaki Global stability of a delayed multi-group SIRS epidemic model with nonlinear incidence rates and relapse of infection. (English) Zbl 1330.34122 Discrete Contin. Dyn. Syst., Ser. B 20, No. 9, 3057-3091 (2015). Reviewer: George Karakostas (Ioannina) MSC: 34K60 92D30 34K20 34K25 34A45 PDFBibTeX XMLCite \textit{Y. Enatsu} et al., Discrete Contin. Dyn. Syst., Ser. B 20, No. 9, 3057--3091 (2015; Zbl 1330.34122) Full Text: DOI
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu Global dynamics for a class of age-infection HIV models with nonlinear infection rate. (English) Zbl 1320.92077 J. Math. Anal. Appl. 432, No. 1, 289-313 (2015). MSC: 92D30 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Math. Anal. Appl. 432, No. 1, 289--313 (2015; Zbl 1320.92077) Full Text: DOI
Kuniya, Toshikazu; Oizumi, Ryo Existence result for an age-structured SIS epidemic model with spatial diffusion. (English) Zbl 1319.35274 Nonlinear Anal., Real World Appl. 23, 196-208 (2015). MSC: 35Q92 92D30 60J60 PDFBibTeX XMLCite \textit{T. Kuniya} and \textit{R. Oizumi}, Nonlinear Anal., Real World Appl. 23, 196--208 (2015; Zbl 1319.35274) Full Text: DOI
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu Mathematical analysis for an age-structured HIV infection model with saturation infection rate. (English) Zbl 1325.92085 Electron. J. Differ. Equ. 2015, Paper No. 33, 19 p. (2015). MSC: 92D30 34D23 PDFBibTeX XMLCite \textit{J. Wang} et al., Electron. J. Differ. Equ. 2015, Paper No. 33, 19 p. (2015; Zbl 1325.92085) Full Text: EMIS
Muroya, Yoshiaki; Kuniya, Toshikazu; Wang, Jinliang Stability analysis of a delayed multi-group SIS epidemic model with nonlinear incidence rates and patch structure. (English) Zbl 1369.92126 J. Math. Anal. Appl. 425, No. 1, 415-439 (2015). MSC: 92D30 34D20 PDFBibTeX XMLCite \textit{Y. Muroya} et al., J. Math. Anal. Appl. 425, No. 1, 415--439 (2015; Zbl 1369.92126) Full Text: DOI
Wang, Jinliang; Pang, Jingmei; Kuniya, Toshikazu; Enatsu, Yoichi Global threshold dynamics in a five-dimensional virus model with cell-mediated, humoral immune responses and distributed delays. (English) Zbl 1334.92431 Appl. Math. Comput. 241, 298-316 (2014). MSC: 92D30 92C60 PDFBibTeX XMLCite \textit{J. Wang} et al., Appl. Math. Comput. 241, 298--316 (2014; Zbl 1334.92431) Full Text: DOI
Nakata, Yukihiko; Enatsu, Yoichi; Inaba, Hisashi; Kuniya, Toshikazu; Muroya, Yoshiaki; Takeuchi, Yasuhiro Stability of epidemic models with waning immunity. (English) Zbl 1331.34159 SUT J. Math. 50, No. 2, 205-245 (2014). Reviewer: Paul Georgescu (Iaşi) MSC: 34K60 34K05 92D30 34K20 34K21 PDFBibTeX XMLCite \textit{Y. Nakata} et al., SUT J. Math. 50, No. 2, 205--245 (2014; Zbl 1331.34159)
Muroya, Yoshiaki; Kuniya, Toshikazu Further stability analysis for a multi-group SIRS epidemic model with varying total population size. (English) Zbl 1314.92167 Appl. Math. Lett. 38, 73-78 (2014). MSC: 92D30 PDFBibTeX XMLCite \textit{Y. Muroya} and \textit{T. Kuniya}, Appl. Math. Lett. 38, 73--78 (2014; Zbl 1314.92167) Full Text: DOI
Kuniya, Toshikazu Existence of a nontrivial periodic solution in an age-structured SIR epidemic model with time periodic coefficients. (English) Zbl 1311.92178 Appl. Math. Lett. 27, 15-20 (2014). MSC: 92D30 92C60 35Q92 35A01 35B10 PDFBibTeX XMLCite \textit{T. Kuniya}, Appl. Math. Lett. 27, 15--20 (2014; Zbl 1311.92178) Full Text: DOI
Muroya, Yoshiaki; Li, Huaixing; Kuniya, Toshikazu Complete global analysis of an SIRS epidemic model with graded cure and incomplete recovery rates. (English) Zbl 1307.92350 J. Math. Anal. Appl. 410, No. 2, 719-732 (2014). MSC: 92D30 PDFBibTeX XMLCite \textit{Y. Muroya} et al., J. Math. Anal. Appl. 410, No. 2, 719--732 (2014; Zbl 1307.92350) Full Text: DOI
Kuniya, Toshikazu; Muroya, Yoshiaki; Enatsu, Yoichi Threshold dynamics of an SIR epidemic model with hybrid of multigroup and patch structures. (English) Zbl 1312.34086 Math. Biosci. Eng. 11, No. 6, 1375-1393 (2014). MSC: 34C60 34D05 34D20 34D23 92D30 PDFBibTeX XMLCite \textit{T. Kuniya} et al., Math. Biosci. Eng. 11, No. 6, 1375--1393 (2014; Zbl 1312.34086) Full Text: DOI
Wang, Jinliang; Pang, Jingmei; Kuniya, Toshikazu A note on global stability for malaria infections model with latencies. (English) Zbl 1327.92068 Math. Biosci. Eng. 11, No. 4, 995-1001 (2014). MSC: 92D30 PDFBibTeX XMLCite \textit{J. Wang} et al., Math. Biosci. Eng. 11, No. 4, 995--1001 (2014; Zbl 1327.92068) Full Text: DOI
Kuniya, Toshikazu; Iannelli, Mimmo \(R_0\) and the global behavior of an age-structured SIS epidemic model with periodicity and vertical transmission. (English) Zbl 1327.92063 Math. Biosci. Eng. 11, No. 4, 929-945 (2014). MSC: 92D30 35Q92 PDFBibTeX XMLCite \textit{T. Kuniya} and \textit{M. Iannelli}, Math. Biosci. Eng. 11, No. 4, 929--945 (2014; Zbl 1327.92063) Full Text: DOI
Kuniya, Toshikazu; Muroya, Yoshiaki Global stability of a multi-group SIS epidemic model for population migration. (English) Zbl 1308.34065 Discrete Contin. Dyn. Syst., Ser. B 19, No. 4, 1105-1118 (2014). MSC: 34C60 34D23 92D30 34C05 34D20 PDFBibTeX XMLCite \textit{T. Kuniya} and \textit{Y. Muroya}, Discrete Contin. Dyn. Syst., Ser. B 19, No. 4, 1105--1118 (2014; Zbl 1308.34065) Full Text: DOI
Muroya, Yoshiaki; Enatsu, Yoichi; Kuniya, Toshikazu Global stability of extended multi-group SIR epidemic models with patches through migration and cross patch infection. (English) Zbl 1289.34221 Acta Math. Sci., Ser. B, Engl. Ed. 33, No. 2, 341-361 (2013). MSC: 34K60 34K20 34K25 92D30 92C60 PDFBibTeX XMLCite \textit{Y. Muroya} et al., Acta Math. Sci., Ser. B, Engl. Ed. 33, No. 2, 341--361 (2013; Zbl 1289.34221) Full Text: DOI
Kuniya, Toshikazu; Inaba, Hisashi Endemic threshold results for an age-structured SIS epidemic model with periodic parameters. (English) Zbl 1263.92041 J. Math. Anal. Appl. 402, No. 2, 477-492 (2013). MSC: 92D30 35B10 35L50 47G10 35Q92 47N60 PDFBibTeX XMLCite \textit{T. Kuniya} and \textit{H. Inaba}, J. Math. Anal. Appl. 402, No. 2, 477--492 (2013; Zbl 1263.92041) Full Text: DOI
Kuniya, Toshikazu Global stability of a multi-group SVIR epidemic model. (English) Zbl 1315.34051 Nonlinear Anal., Real World Appl. 14, No. 2, 1135-1143 (2013). MSC: 34C60 34D23 92D30 PDFBibTeX XMLCite \textit{T. Kuniya}, Nonlinear Anal., Real World Appl. 14, No. 2, 1135--1143 (2013; Zbl 1315.34051) Full Text: DOI
Muroya, Yoshiaki; Enatsu, Yoichi; Kuniya, Toshikazu Global stability for a multi-group SIRS epidemic model with varying population sizes. (English) Zbl 1315.34052 Nonlinear Anal., Real World Appl. 14, No. 3, 1693-1704 (2013). MSC: 34C60 34D23 92D30 PDFBibTeX XMLCite \textit{Y. Muroya} et al., Nonlinear Anal., Real World Appl. 14, No. 3, 1693--1704 (2013; Zbl 1315.34052) Full Text: DOI
Kuniya, Toshikazu; Nakata, Yukihiko Permanence and extinction for a nonautonomous SEIRS epidemic model. (English) Zbl 1245.34038 Appl. Math. Comput. 218, No. 18, 9321-9331 (2012). MSC: 34C11 34D05 92D30 PDFBibTeX XMLCite \textit{T. Kuniya} and \textit{Y. Nakata}, Appl. Math. Comput. 218, No. 18, 9321--9331 (2012; Zbl 1245.34038) Full Text: DOI Link
Kuniya, Toshikazu Global stability analysis with a discretization approach for an age-structured multigroup SIR epidemic model. (English) Zbl 1219.35330 Nonlinear Anal., Real World Appl. 12, No. 5, 2640-2655 (2011). MSC: 35Q92 92D30 PDFBibTeX XMLCite \textit{T. Kuniya}, Nonlinear Anal., Real World Appl. 12, No. 5, 2640--2655 (2011; Zbl 1219.35330) Full Text: DOI
Nakata, Yukihiko; Kuniya, Toshikazu Global dynamics of a class of SEIRS epidemic models in a periodic environment. (English) Zbl 1184.34056 J. Math. Anal. Appl. 363, No. 1, 230-237 (2010). MSC: 34C60 92D30 34D05 34D20 PDFBibTeX XMLCite \textit{Y. Nakata} and \textit{T. Kuniya}, J. Math. Anal. Appl. 363, No. 1, 230--237 (2010; Zbl 1184.34056) Full Text: DOI