School of Mathematical Sciences, Zhejiang Normal University, Jinhua, 321004, China.
School of Computer Science, Zhejiang Normal University, Jinhua, 321004, China.
Sci Rep. 2023 Aug 25;13(1):13954. doi: 10.1038/s41598-023-40651-2.
In this paper, we discussed the impossibility of achieving zero-covid cases per day for all time with the help of fuzzy theory, while how a single case can trigger chaotic situation in the nearby city is elaborated using multi-scrolls. To accomplish this goal, we consider the number of new cases per day; [Formula: see text] to be the preferred state variable by restricting its value to the interval (0, 1). One can need to think of [Formula: see text] as a member of a fuzzy set and provide that set with appropriate membership functions. Moreover, how a single incident in one city can spread chaos to other cities is also addressed at length, using multi-scroll attractors and the signal excitation function. In addition, a bifurcation diagram of daily new instances vs the parameter [Formula: see text] is shown, elaborating that daily new cases may show a decrease under strict rules and regulations, but can again lead to chaos. Apart from biologist, this paper can play vital role for engineers as well in a sense that, a signal function can be embedded in non-symmetric systems for the creation of multi-scroll attractors in all directions using a generalized algorithm that has been designed in the current work. Finally, it is our future target to show that the covid is leading towards influenza and will be no more dangerous as was in the past.
本文借助模糊理论讨论了在任何时候都实现每天零新冠病例的可能性,同时还阐述了单个病例如何通过多涡卷引发附近城市的混乱情况。为了实现这一目标,我们考虑每天的新病例数;[Formula: see text]为首选状态变量,将其值限制在区间(0,1)内。可以将[Formula: see text]视为模糊集的成员,并为其提供适当的隶属函数。此外,还详细讨论了一个城市的单个事件如何通过多涡卷吸引子和信号激励函数传播到其他城市。此外,还展示了每日新病例与参数[Formula: see text]的分岔图,阐述了在严格的规章制度下,每日新病例可能会减少,但也可能再次导致混乱。从某种意义上说,除了生物学家,这篇论文对工程师也有重要作用,因为可以在非对称系统中嵌入信号函数,使用当前工作中设计的广义算法在各个方向上创建多涡卷吸引子。最后,我们的未来目标是表明新冠正在向流感转变,并且不会像过去那样危险。