论文标题
艾滋病毒/艾滋病传播模型具有保护意识和波动的动力学
Dynamics of an HIV/AIDS transmission model with protection awareness and fluctuations
论文作者
论文摘要
我们为具有保护意识的个体建立了随机的艾滋病毒/艾滋病模型，并揭示了保护意识如何在艾滋病控制中起重要作用。我们首先表明存在随机模型的全球积极解决方案。通过构造lyapunov函数，当$ r_ {0}^{s}> 1 $时，Ergodic固定分布和当$ r_ {0}^{e} <1 $ for STOCHASTIC模型获得时的灭绝。通过使用阳性保存截短的Euler-Maruyama方法（PPTEM）进行了许多数值模拟，以说明理论结果。我们的新结果表明，与广泛的宣传相比，详细的宣传对艾滋病的控制有很大的影响，而连续的抗逆转录病毒疗法（ART）有助于控制艾滋病毒/艾滋病。
We establish a stochastic HIV/AIDS model for the individuals with protection awareness and reveal how the protection awareness plays its important role in the control of AIDS. We firstly show that there exists a global positive solution for the stochastic model. By constructing Lyapunov functions, the ergodic stationary distribution when $R_{0}^{s}>1$ and the extinction when $R_{0}^{e}<1$ for the stochastic model are obtained. A number of numerical simulations by using positive preserving truncated Euler-Maruyama method (PPTEM) are performed to illustrate the theoretical results. Our new results show that the detailed publicity has great impact on the control of AIDS compared with the extensive publicity, while the continuous antiretroviral therapy (ART) is helpful in the control of HIV/AIDS.
