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Original Articles

Global stability analysis of humoral immunity virus dynamics model including latently infected cells

Pages 215-228 | Received 12 Oct 2014, Accepted 26 May 2015, Published online: 06 Jul 2015

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Read on this site (3)

Séverin Foko & Calvin Tadmon. (2022) Consistent discrete global dynamics of a general initial boundary value problem for hepatitis B virus infection with capsids and adaptive immunity. Journal of Difference Equations and Applications 28:6, pages 777-852.
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Calvin Tadmon, Severin Foko & Alan D. Rendall. (2021) Global stability analysis of a delay cell-population model of hepatitis B infection with humoral immune response. Dynamical Systems 36:4, pages 537-559.
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Ahmed M. Elaiw, Taofeek O. Alade & Saud M. Alsulami. (2018) Analysis of latent CHIKV dynamics models with general incidence rate and time delays. Journal of Biological Dynamics 12:1, pages 700-730.
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Articles from other publishers (13)

Zeynab Hemmatzadeh, Vahid Roomi & Tohid Kasbi Gharahasanlou. (2023) Stability, Hopf Bifurcation and Numerical Simulation of an HIV Model with Two Modes of Transmission and with Cellular and Humoral Immunity. International Journal of Bifurcation and Chaos 33:14.
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Jinhu Xu & Guokun Huang. (2023) Global Stability and Bifurcation Analysis of a Virus Infection Model with Nonlinear Incidence and Multiple Delays. Fractal and Fractional 7:8, pages 583.
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Shafeek A. Ghaleb, A. M. Elaiw, Mohammad Alnegga, Emad Ghandourah & Taofeek O. Alade. (2022) Global stability of virus dynamics of an adaptive immune response with two routes of infection and latency. International Journal of Dynamics and Control 11:3, pages 1002-1019.
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Mouhcine Naim, Yassine Sabbar, Mostafa Zahri, Behzad Ghanbari, Anwar Zeb, Nadia Gul, Salih Djilali & Fouad Lahmidi. (2022) The impact of dual time delay and Caputo fractional derivative on the long-run behavior of a viral system with the non-cytolytic immune hypothesis. Physica Scripta 97:12, pages 124002.
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Abulajiang Aili, Zhidong Teng & Long Zhang. (2022) Dynamics in a disease transmission model coupled virus infection in host with incubation delay and environmental effects. Journal of Applied Mathematics and Computing 68:6, pages 4331-4359.
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Abulajiang Aili, Zhidong Teng & Long Zhang. (2022) Dynamical behavior of a coupling SEIR epidemic model with transmission in body and vitro, incubation and environmental effects. Mathematical Biosciences and Engineering 20:1, pages 505-533.
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Xuqing Shi, Shengrong Zou, Yudan Shu & Li Chen. 2021. Proceedings of 2020 Chinese Intelligent Systems Conference. Proceedings of 2020 Chinese Intelligent Systems Conference 377 388 .
Miller Cerón-Gómez & Hyun Mo Yang. (2019) Global dynamics of humoral and cellular immune responses to virus infection. Universitas Scientiarum 24:2, pages 407-423.
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Adnane Boukhouima, Khalid Hattaf & Noura Yousfi. 2019. Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics. Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics 271 297 .
Adnane Boukhouima, Khalid Hattaf & Noura Yousfi. (2018) A Fractional Order Model for Viral Infection with Cure of Infected Cells and Humoral Immunity. International Journal of Differential Equations 2018, pages 1-12.
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A. M. Ełaiw, N. H. AlShamrani & K. Hattaf. (2017) Dynamical behaviors of a general humoral immunity viral infection model with distributed invasion and production. International Journal of Biomathematics 10:03, pages 1750035.
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B. G. Sampath Aruna Pradeep & Hazrat Ali. (2017) Global stability properties for a delayed virus dynamics model with humoral immunity response and absorption effect. Global stability properties for a delayed virus dynamics model with humoral immunity response and absorption effect.
A. M. Elaiw, A. A. Raezah & A. S. Alofi. (2016) Effect of humoral immunity on HIV-1 dynamics with virus-to-target and infected-to-target infections. AIP Advances 6:8, pages 085204.
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