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Applicable Analysis
An International Journal
Volume 99, 2020 - Issue 11
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Articles

An infection age-space structured SIR epidemic model with Neumann boundary condition

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Pages 1972-1985 | Received 02 Apr 2018, Accepted 15 Nov 2018, Published online: 30 Nov 2018

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Jaume Llibre & Tayeb Salhi. (2024) Phase portraits of an SIR epidemic model. Applicable Analysis 103:6, pages 1165-1175.
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Mostafa Adimy, Abdennasser Chekroun & Toshikazu Kuniya. (2023) Global asymptotic stability for a distributed delay differential–difference system of a Kermack–McKendrick SIR model. Applicable Analysis 102:12, pages 3463-3475.
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Christoph Walker. (2024) Stability and Instability of Equilibria in Age-Structured Diffusive Populations. Journal of Dynamics and Differential Equations.
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Peng Wu, Ran Zhang & Anwarud Din. (2023) Mathematical analysis of an age-since infection and diffusion HIV/AIDS model with treatment adherence and Dirichlet boundary condition. Mathematics and Computers in Simulation 214, pages 1-27.
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Junyuan Yang, Meijia Gong & Gui-Quan Sun. (2023) Asymptotical profiles of an age-structured foot-and-mouth disease with nonlocal diffusion on a spatially heterogeneous environment. Journal of Differential Equations 377, pages 71-112.
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Meiyu Cao, Jiantao Zhao, Jinliang Wang & Ran Zhang. (2023) Dynamical analysis of a reaction–diffusion vector-borne disease model incorporating age-space structure and multiple transmission routes. Communications in Nonlinear Science and Numerical Simulation 127, pages 107550.
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Jinliang Wang, Ran Zhang & Yue Gao. (2021) Global Threshold Dynamics of an Infection Age-Space Structured HIV Infection Model with Neumann Boundary Condition. Journal of Dynamics and Differential Equations 35:3, pages 2279-2311.
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Christoph Walker. (2023) Well-posedness and stability analysis of an epidemic model with infection age and spatial diffusion. Journal of Mathematical Biology 87:3.
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Xiaoyan Wang, Junyuan Yang & Yan Han. (2023) Threshold Dynamics of a Chronological Age and Infection Age Structured Cholera Model with Neumann Boundary Condition. Zeitschrift für angewandte Mathematik und Physik 74:4.
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Salih Djilali, Yuming Chen & Soufiane Bentout. (2022) Asymptotic analysis of SIR epidemic model with nonlocal diffusion and generalized nonlinear incidence functional. Mathematical Methods in the Applied Sciences 46:5, pages 6279-6301.
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Peng Wu, Zhaosheng Feng & Xuebing Zhang. (2022) Global dynamics of an age–space structured HIV/AIDS model with viral load-dependent infection and conversion rates. Journal of Computational and Applied Mathematics 412, pages 114309.
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WEIWEI LIU, JINLIANG WANG & RAN ZHANG. (2021) Dynamics of an infection age-space structured cholera model with Neumann boundary condition. European Journal of Applied Mathematics 33:3, pages 393-422.
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Chunyue Wang, Jinliang Wang & Ran Zhang. (2021) Global analysis on an age‐space structured vaccination model with Neumann boundary condition. Mathematical Methods in the Applied Sciences 45:3, pages 1640-1667.
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Lili Liu, Jian Zhang, Ran Zhang & Hongquan Sun. (2021) Hopf Bifurcation of an Age-Structured Epidemic Model with Quarantine and Temporary Immunity Effects. International Journal of Bifurcation and Chaos 31:12, pages 2150183.
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M. Kröger & R. Schlickeiser. (2021) Verification of the accuracy of the SIR model in forecasting based on the improved SIR model with a constant ratio of recovery to infection rate by comparing with monitored second wave data. Royal Society Open Science 8:9, pages 211379.
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Feng-Bin Wang & Chang-Yuan Cheng. (2021) A diffusive virus model with a fixed intracellular delay and combined drug treatments. Journal of Mathematical Biology 83:2.
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Xiaoyan Wang, Hongquan Sun & Junyuan Yang. (2021) Temporal-spatial analysis of an age-space structured foot-and-mouth disease model with Dirichlet boundary condition. Chaos: An Interdisciplinary Journal of Nonlinear Science 31:5.
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R Schlickeiser & M Kröger. (2021) Analytical solution of the SIR-model for the temporal evolution of epidemics: part B. Semi-time case. Journal of Physics A: Mathematical and Theoretical 54:17, pages 175601.
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Chunyue Wang & Jinliang Wang. (2021) Analysis of a malaria epidemic model with age structure and spatial diffusion. Zeitschrift für angewandte Mathematik und Physik 72:2.
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Abdennasser Chekroun & Toshikazu Kuniya. (2020) Global threshold dynamics of an infection age-structured SIR epidemic model with diffusion under the Dirichlet boundary condition. Journal of Differential Equations 269:8, pages 117-148.
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Toshikazu Kuniya. 2020. Mathematical Modelling and Analysis of Infectious Diseases. Mathematical Modelling and Analysis of Infectious Diseases 37 59 .
Junyuan Yang, Rui Xu & Jiaxu Li. (2019) Threshold dynamics of an age–space structured brucellosis disease model with Neumann boundary condition. Nonlinear Analysis: Real World Applications 50, pages 192-217.
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Abdennasser Chekroun & Toshikazu Kuniya. (2019) An infection age-space-structured SIR epidemic model with Dirichlet boundary condition. Mathematical Modelling of Natural Phenomena 14:5, pages 505.
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