Queues are formed when different people require similar services in the same place and at the same time interval, especially when current demand exceeds the current capacity to serve. In this paper, we present a post COVID-19 lockdown analysis of the offline-customer delivery unit of Access Bank Akwanga Branch using Queuing theory. We develop a suitable model for the system and used the quantitative method for the analysis, with the primary data obtained from observation. Results from the analysis show a reduction in customers’ waiting time, thereby encouraging COVID-19 preventive measure of social distancing; increasing the number of servers in the customer care unit causes a decrease in the average waiting time of customers in queue as well as in the system, implying an automatic adherence to COVID-19 safety measures. This means that Queuing theory improves customers waiting time as well as encourages social distancing.

This paper presents malaria and cholera co-dynamics under Caputo-Fabrizio derivative of order $\alpha\in(0,1)$ varied with some notable parameters in the fractional system. The fractional order system comprises ten compartments divided into human and vector classes. The human population is exposed to obnoxious diseases such as malaria and cholera which can lead to an untimely death if proper care is not taken. As a result, we present the qualitative analysis of the fractional order system where the existence and uniqueness of the solution using the well-known Banach and Schauder fixed point theorems. The numerical solution of the system is achieved through the famous iterative Atangana-Baleanu fractional order Adams-Bashforth scheme. The numerical algorithm obtained from the scheme is used for graphic simulation for different fractional orders $\alpha\in (0,1)$. The figures produced using various fractional orders show total convergence and stability as time increases. It is also evident that stability and convergence are achieved as the fractional orders tend to 1. The actual behavior of the fractional co-dynamical system of the diseases is established also in the numerical simulation.