具有非线性免疫反应的病毒感染模型的计算机模拟与稳定性

2011 Fourth International Conference on Information and Computing Pub Date : 2011-04-25 DOI:10.1109/ICIC.2011.127

Nannan Cheng, Yang Yang

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摘要

研究了具有非线性免疫反应的病毒感染动力学模型。通过分析相应的特征方程，讨论了模型各可行平衡点的局部稳定性。通过构造适当的Lyapunov泛函，证明了无感染平衡点、无免疫感染平衡点和病毒感染平衡点的全局稳定性。数值模拟验证了理论结果。

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The Computer Simulation and Stability of a Virus Infection Model with Nonlinear Immune Response

In this paper, a virus infection dynamics model with nonlinear immune response is studied. By analyzing the corresponding characteristic equation, the local stability of each of feasible equilibri of the model is discussed. By constructing appropriate Lyapunov functional, the global stability of the infection-free equilibrium and the immune-free infection equilibrium and virus infection equilibrium are proved. Numerical simulations are carried out to illustrate the theoretical results.

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2011 Fourth International Conference on Information and Computing

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