乙型肝炎病毒感染模型与logistic肝细胞生长和细胞毒性t淋巴细胞反应的动力学

Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI:10.12988/NADE.2016.510642

K. Allali, Adil Meskaf, Y. Tabit

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引用次数: 1

摘要

摘要在本文中，我们提出并研究了HBV动态与logistic肝细胞生长和细胞毒性t淋巴细胞(CTL)反应的数学模型。证明了非负初始数据解的正性和有界性。分析了无病平衡和地方病平衡的稳定性。数值模拟结果表明，该方法具有振荡收敛性。

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Dynamics of a hepatitis B viral infection model with logistic hepatocyte growth and cytotoxic T-lymphocyte response

Abstract In this paper, we present and study the mathematical model of HBV dynamics with logistic hepatocyte growth and cytotoxic T-lymphocyte (CTL) response. The positivity and boundedness of solutions for nonnegative initial data are proved. The stability of disease-free equilibrium and endemic equilibrium are analyzed. Numerical simulations are performed and oscillatory convergence is observed.

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Nonlinear Analysis and Differential Equations

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