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Global analysis of an age-structured SEIR endemic model

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  • Khan, Asaf
  • Zaman, Gul

Abstract

In the present study, an age-structured SEIR endemic model is considered. The population is assumed to be not constant due to different inflows and outflows that are imbalanced by demographics, and migration etc. An abstract Cauchy problem is formulated from the model in order to show that the model is well-posed. The local and global stability of the disease-free steady state is examined using the basic reproduction number R0. Under certain condition, the endemic steady state is shown to be exist and locally stable. To illustrate the main theorems, sample simulations are presented at the end of the paper.

Suggested Citation

  • Khan, Asaf & Zaman, Gul, 2018. "Global analysis of an age-structured SEIR endemic model," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 154-165.
    • Handle: RePEc:eee:chsofr:v:108:y:2018:i:c:p:154-165
    DOI: 10.1016/j.chaos.2018.01.037
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    References listed on IDEAS

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    1. Sun, Chengjun & Lin, Yiping & Tang, Shoupeng, 2007. "Global stability for an special SEIR epidemic model with nonlinear incidence rates," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 290-297.
    2. Xing, Yi & Song, Lipeng & Sun, Gui-Quan & Jin, Zhen & Zhang, Juan, 2017. "Assessing reappearance factors of H7N9 avian influenza in China," Applied Mathematics and Computation, Elsevier, vol. 309(C), pages 192-204.
    3. Li, Li, 2015. "Patch invasion in a spatial epidemic model," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 342-349.
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    2. Hu, Dandan & Huang, Gang, 2022. "Dynamical analysis on a size-structured population model of Daphnia with delayed birth process," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    3. Wu, Yucui & Zhang, Zhipeng & Song, Limei & Xia, Chengyi, 2024. "Global stability analysis of two strains epidemic model with imperfect vaccination and immunity waning in a complex network," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    4. Yaping Wang & Lin Hu & Linfei Nie, 2022. "Dynamics of a Hybrid HIV/AIDS Model with Age-Structured, Self-Protection and Media Coverage," Mathematics, MDPI, vol. 11(1), pages 1-27, December.

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