Luo, Zhonghu; Liu, Zijian; Tan, Yuanshun; Yang, Jin; Qiu, Huanhuan Threshold behavior of an age-structured tumor immune model. (English) Zbl 1508.92056 Math. Model. Nat. Phenom. 18, Paper No. 6, 26 p. (2023). MSC: 92C32 92C50 34K20 35Q92 92C37 PDFBibTeX XMLCite \textit{Z. Luo} et al., Math. Model. Nat. Phenom. 18, Paper No. 6, 26 p. (2023; Zbl 1508.92056) Full Text: DOI
Pang, Guodong; Pardoux, Étienne Functional law of large numbers and PDEs for epidemic models with infection-age dependent infectivity. (English) Zbl 1511.92084 Appl. Math. Optim. 87, No. 3, Paper No. 50, 45 p. (2023). MSC: 92D30 45D05 35Q92 PDFBibTeX XMLCite \textit{G. Pang} and \textit{É. Pardoux}, Appl. Math. Optim. 87, No. 3, Paper No. 50, 45 p. (2023; Zbl 1511.92084) Full Text: DOI arXiv
Li, Chin-Lung; Li, Chun-Hsien; Cheng, Chang-Yuan Analysis of an epidemiological model with age of infection, vaccination, quarantine and asymptomatic transmission. (English) Zbl 1506.92095 J. Franklin Inst. 360, No. 1, 657-692 (2023). MSC: 92D30 92C60 34C23 34D20 35Q92 PDFBibTeX XMLCite \textit{C.-L. Li} et al., J. Franklin Inst. 360, No. 1, 657--692 (2023; Zbl 1506.92095) Full Text: DOI
Wang, Chunyue; Wang, Jinliang; Zhang, Ran Global analysis on an age-space structured vaccination model with Neumann boundary condition. (English) Zbl 07780201 Math. Methods Appl. Sci. 45, No. 3, 1640-1667 (2022). MSC: 92C60 35K57 37N25 PDFBibTeX XMLCite \textit{C. Wang} et al., Math. Methods Appl. Sci. 45, No. 3, 1640--1667 (2022; Zbl 07780201) Full Text: DOI
Lu, Jingjing; Chen, Qiaoling; Teng, Zhidong; Zheng, Tingting Dynamical analysis of an age-structured SIRE epidemic model with two routes of infection in environment. (English) Zbl 07776411 Stud. Appl. Math. 148, No. 2, 461-497 (2022). MSC: 92D30 34D20 35B35 PDFBibTeX XMLCite \textit{J. Lu} et al., Stud. Appl. Math. 148, No. 2, 461--497 (2022; Zbl 07776411) Full Text: DOI
Gao, Jianguo; Zhang, Chao; Wang, Jinliang Analysis of a reaction-diffusion SVIR model with a fixed latent period and non-local infections. (English) Zbl 1492.35364 Appl. Anal. 101, No. 2, 497-518 (2022). MSC: 35Q92 92D30 35K57 35R07 PDFBibTeX XMLCite \textit{J. Gao} et al., Appl. Anal. 101, No. 2, 497--518 (2022; Zbl 1492.35364) Full Text: DOI
Ito, Hiroshi Input-to-state stability and Lyapunov functions with explicit domains for SIR model of infectious diseases. (English) Zbl 1467.92202 Discrete Contin. Dyn. Syst., Ser. B 26, No. 9, 5171-5196 (2021). Reviewer: Yilun Shang (Newcastle) MSC: 92D30 93D25 93D30 34D23 PDFBibTeX XMLCite \textit{H. Ito}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 9, 5171--5196 (2021; Zbl 1467.92202) Full Text: DOI arXiv
Lu, Jingjing; Teng, Zhidong; Li, Yingke An age-structured model for coupling within-host and between-host dynamics in environmentally-driven infectious diseases. (English) Zbl 1490.92106 Chaos Solitons Fractals 139, Article ID 110024, 13 p. (2020). MSC: 92D30 92D25 34K60 92C60 34K20 PDFBibTeX XMLCite \textit{J. Lu} et al., Chaos Solitons Fractals 139, Article ID 110024, 13 p. (2020; Zbl 1490.92106) Full Text: DOI
Ito, Hiroshi Interpreting models of infectious diseases in terms of integral input-to-state stability. (English) Zbl 1458.92074 Math. Control Signals Syst. 32, No. 4, 611-631 (2020). MSC: 92D30 92C60 93C15 93D25 PDFBibTeX XMLCite \textit{H. Ito}, Math. Control Signals Syst. 32, No. 4, 611--631 (2020; Zbl 1458.92074) Full Text: DOI arXiv
Zhang, Chao; Gao, Jianguo; Sun, Hongquan; Wang, Jinliang Dynamics of a reaction-diffusion SVIR model in a spatial heterogeneous environment. (English) Zbl 07570042 Physica A 533, Article ID 122049, 15 p. (2019). MSC: 82-XX PDFBibTeX XMLCite \textit{C. Zhang} et al., Physica A 533, Article ID 122049, 15 p. (2019; Zbl 07570042) Full Text: DOI
Zhang, Ran; Li, Dan; Liu, Shengqiang Global analysis of an age-structured SEIR model with immigration of population and nonlinear incidence rate. (English) Zbl 1464.35386 J. Appl. Anal. Comput. 9, No. 4, 1470-1492 (2019). MSC: 35Q92 92D30 37N25 35B35 35B40 PDFBibTeX XMLCite \textit{R. Zhang} et al., J. Appl. Anal. Comput. 9, No. 4, 1470--1492 (2019; Zbl 1464.35386) Full Text: DOI
Xu, Rui; Yang, Junyuan; Tian, Xiaohong; Lin, Jiazhe Global dynamics of a tuberculosis model with fast and slow progression and age-dependent latency and infection. (English) Zbl 1448.92359 J. Biol. Dyn. 13, No. 1, 675-705 (2019). MSC: 92D30 37N25 35Q92 34D23 PDFBibTeX XMLCite \textit{R. Xu} et al., J. Biol. Dyn. 13, No. 1, 675--705 (2019; Zbl 1448.92359) 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
Xu, Rui; Bai, Ning; Tian, Xiaohong Global dynamics of a mathematical model of tuberculosis with age-dependent latency and active infection. (English) Zbl 1427.92096 J. Biol. Syst. 27, No. 4, 503-530 (2019); correction ibid. 14, No. 1, 439 (2020). MSC: 92D30 34D23 PDFBibTeX XMLCite \textit{R. Xu} et al., J. Biol. Syst. 27, No. 4, 503--530 (2019; Zbl 1427.92096) Full Text: DOI
Huo, Hai-Feng; Yang, Peng; Xiang, Hong Dynamics for an SIRS epidemic model with infection age and relapse on a scale-free network. (English) Zbl 1418.92169 J. Franklin Inst. 356, No. 13, 7411-7443 (2019). MSC: 92D30 34D23 PDFBibTeX XMLCite \textit{H.-F. Huo} et al., J. Franklin Inst. 356, No. 13, 7411--7443 (2019; Zbl 1418.92169) Full Text: DOI
Pang, Jianhua; Chen, Jing; Liu, Zijian; Bi, Ping; Ruan, Shigui Local and global stabilities of a viral dynamics model with infection-age and immune response. (English) Zbl 1417.35210 J. Dyn. Differ. Equations 31, No. 2, 793-813 (2019). MSC: 35Q92 92C37 92C50 35B35 35B40 PDFBibTeX XMLCite \textit{J. Pang} et al., J. Dyn. Differ. Equations 31, No. 2, 793--813 (2019; Zbl 1417.35210) Full Text: DOI
Yang, Junyuan; Chen, Yuming Theoretical and numerical results for an age-structured SIVS model with a general nonlinear incidence rate. (English) Zbl 1447.92496 J. Biol. Dyn. 12, No. 1, 789-816 (2018). MSC: 92D30 92C60 34D23 PDFBibTeX XMLCite \textit{J. Yang} and \textit{Y. Chen}, J. Biol. Dyn. 12, No. 1, 789--816 (2018; Zbl 1447.92496) Full Text: DOI
Xu, Rui Global dynamics of an epidemiological model with age of infection and disease relapse. (English) Zbl 1447.92494 J. Biol. Dyn. 12, No. 1, 118-145 (2018); correction ibid. 14, No.1, 438 (2020). MSC: 92D30 34D23 37N25 35Q92 PDFBibTeX XMLCite \textit{R. Xu}, J. Biol. Dyn. 12, No. 1, 118--145 (2018; Zbl 1447.92494) Full Text: DOI
Zhang, Suxia; Guo, Hongbin Global analysis of age-structured multi-stage epidemic models for infectious diseases. (English) Zbl 1427.34097 Appl. Math. Comput. 337, 214-233 (2018). MSC: 34K13 92D30 34D23 34K20 37N25 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{H. Guo}, Appl. Math. Comput. 337, 214--233 (2018; Zbl 1427.34097) Full Text: DOI
Yang, Junyuan; Wang, Xiaoyan Threshold dynamics of an SIR model with nonlinear incidence rate and age-dependent susceptibility. (English) Zbl 1407.92134 Complexity 2018, Article ID 9613807, 15 p. (2018). MSC: 92D30 92C42 93D05 PDFBibTeX XMLCite \textit{J. Yang} and \textit{X. Wang}, Complexity 2018, Article ID 9613807, 15 p. (2018; Zbl 1407.92134) 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
Yang, Junyuan; Chen, Yuming Effect of infection age on an SIR epidemic model with demography on complex networks. (English) Zbl 1495.92108 Physica A 479, 527-541 (2017). MSC: 92D30 92D25 34D23 PDFBibTeX XMLCite \textit{J. Yang} and \textit{Y. Chen}, Physica A 479, 527--541 (2017; Zbl 1495.92108) Full Text: DOI
Wang, Jinliang; Lang, Jiying; Chen, Yuming Global threshold dynamics of an SVIR model with age-dependent infection and relapse. (English) Zbl 1447.92484 J. Biol. Dyn. 11, Suppl. 2, 427-454 (2017). MSC: 92D30 92C60 34D23 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Biol. Dyn. 11, 427--454 (2017; Zbl 1447.92484) Full Text: DOI
Xu, Rui; Tian, Xiaohong; Zhang, Fengqin Global dynamics of a tuberculosis transmission model with age of infection and incomplete treatment. (English) Zbl 1422.92175 Adv. Difference Equ. 2017, Paper No. 242, 34 p. (2017). MSC: 92D30 92C60 34D23 37N25 34C60 PDFBibTeX XMLCite \textit{R. Xu} et al., Adv. Difference Equ. 2017, Paper No. 242, 34 p. (2017; Zbl 1422.92175) Full Text: DOI
Ren, Shanjing Global stability in a tuberculosis model of imperfect treatment with age-dependent latency and relapse. (English) Zbl 1364.35388 Math. Biosci. Eng. 14, No. 5-6, 1337-1360 (2017). MSC: 35Q92 35L60 92C37 PDFBibTeX XMLCite \textit{S. Ren}, Math. Biosci. Eng. 14, No. 5--6, 1337--1360 (2017; Zbl 1364.35388) Full Text: DOI
Yang, Junyuan; Chen, Yuming; Xu, Fei Effect of infection age on an SIS epidemic model on complex networks. (English) Zbl 1356.35268 J. Math. Biol. 73, No. 5, 1227-1249 (2016). MSC: 35Q92 92D30 35B40 93B35 05C82 PDFBibTeX XMLCite \textit{J. Yang} et al., J. Math. Biol. 73, No. 5, 1227--1249 (2016; Zbl 1356.35268) Full Text: DOI
Chen, Yuming; Zou, Shaofen; Yang, Junyuan Global analysis of an SIR epidemic model with infection age and saturated incidence. (English) Zbl 1365.92117 Nonlinear Anal., Real World Appl. 30, 16-31 (2016). MSC: 92D30 PDFBibTeX XMLCite \textit{Y. Chen} et al., Nonlinear Anal., Real World Appl. 30, 16--31 (2016; Zbl 1365.92117) Full Text: DOI
Yang, Junyuan; Martcheva, Maia; Wang, Lin Global threshold dynamics of an SIVS model with waning vaccine-induced immunity and nonlinear incidence. (English) Zbl 1343.92529 Math. Biosci. 268, 1-8 (2015). MSC: 92D30 PDFBibTeX XMLCite \textit{J. Yang} et al., Math. Biosci. 268, 1--8 (2015; Zbl 1343.92529) Full Text: DOI
Liu, Lili; Wang, Jinliang; Liu, Xianning Global stability of an SEIR epidemic model with age-dependent latency and relapse. (English) Zbl 1330.35472 Nonlinear Anal., Real World Appl. 24, 18-35 (2015). MSC: 35Q92 92C60 45D05 PDFBibTeX XMLCite \textit{L. Liu} et al., Nonlinear Anal., Real World Appl. 24, 18--35 (2015; Zbl 1330.35472) 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