College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, PR China.
Department of Basic Courses, Shandong University of Science and Technology, Tai'an, Shandong, PR China.
Comput Methods Biomech Biomed Engin. 2023 Sep;26(11):1250-1271. doi: 10.1080/10255842.2022.2113391. Epub 2022 Sep 7.
This article explores a delayed stochastic epidemic model with double epidemic hypothesis and saturated incidence. First, we give some preliminaries of the epidemic system. Second, by building Lyapunov functions and utilizing inequalities, we study the asymptotic properties of the delayed stochastic system around each equilibrium point. Furthermore, we prove the persistence in mean of the epidemic system. In the end, several numerical simulations are presented to show that stochastic disturbance and time delay can impact the dynamics of the epidemic system.
这篇文章探讨了一个具有双传染病假设和饱和感染率的时滞随机传染病模型。首先，我们给出了传染病系统的一些预备知识。其次，通过构建李雅普诺夫函数和利用不等式，我们研究了时滞随机系统在每个平衡点附近的渐近性质。此外，我们证明了传染病系统的平均持久性。最后，通过几个数值模拟，展示了随机干扰和时滞对传染病系统动力学的影响。
