Generation of multi-scrolls in corona virus disease 2019 (COVID-19) chaotic system and its impact on the zero-covid policy

Abstract

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; $$x_{1}$$ x 1 to be the preferred state variable by restricting its value to the interval (0, 1). One can need to think of $$x_{1}$$ x 1 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 $$\alpha _{1}$$ α 1 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.

Generalized external synchronization of networks based on clustered pandemic systems—The approach of Covid-19 towards influenza

“…Moreover, the research on covid-19 is not restricted to biology, but a lot of work can be found in other fields as well, such as, Machine learning [ 6 , 7 ], dynamical systems [ 8 , 9 ]. The covid-19 model [ 10 , 11 ] that we have considered is where , and shows the daily numbers of new cases, daily additional severe cases and new death cases reported per day due to covid, respectively. Mathematically, system ( 2 ) exhibits chaotic behaviour for initial conditions =(184, 30, 8) and parameter values given in Table 2 .…”

“…Moreover, the research on covid-19 is not restricted to biology, but a lot of work can be found in other fields as well, such as, Machine learning [6,7], dynamical systems [8,9]. The covid-19 model [10,11] that we have considered is…”