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
Kuniya, Toshikazu; Mohammed Touaoula, Tarik Global dynamics for a class of reaction-diffusion equations with distributed delay and non-monotone bistable nonlinearity. (English) Zbl 1523.35274 Appl. Anal. 102, No. 14, 3946-3970 (2023). MSC: 35R09 35B40 35K20 35K58 35Q92 PDFBibTeX XMLCite \textit{T. Kuniya} and \textit{T. Mohammed Touaoula}, Appl. Anal. 102, No. 14, 3946--3970 (2023; Zbl 1523.35274) 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
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
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; 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; 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
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
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
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
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
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
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
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
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
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
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
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
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
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; 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
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