Inhomogeneous percolation on the Bethe lattice with critical exponents and its application

This manuscript explores the critical exponents for three-dimensional irregular Bethe lattice (TDIBL) and their closer association with real-life applications. In the current investigation, we evaluate the CEs for TDIBL using several percolating variables, including the cluster size distribution (CSD), percolating probability (PP), mean cluster size (MCS), characteristic cluster size (CCS), and characteristic generation size (CGS). The CEs for TDIBL findings illustrate that the percolation model accomplishes enormous universal classes and is connected with a complicated fractal and resizing structure of underlying geometric characteristics, which will contribute to the system’s mean degree in the percolating method. Additionally, sensitivity analysis and numerical simulation will further enhance our appraisal of the percolating procedure graphically. Furthermore, we address the novel coronavirus 2019 (COVID-19) transmission behavior in the database using our methodology. Utilizing this data type to develop predictions by conveying policy-using courtesy groups with varying infection and recovery probabilities is also feasible. We acknowledge that our revolutionary endeavor will be intriguing, and we will inquire about scientific researchers collaborating with various percolation methods of investigation. •A new methodology is proposed using Critical exponents for 3D inhomogeneous percolation on Bethe Lattice.•Utilizing generating function and generalized recursive methods, the findings for the variates are obtained.•The robustness of the suggested model is assessed through the sensitivity analysis.•This novel method is implemented using the COVID-19 dynamic transmission.•The state is designed to execute additional disease-control programs.