A novel method for the 3D inhomogeneous percolation on the Lattice with its application
This article anticipates the puzzle of acquiring a three-dimensional inhomogeneous site percolation on an irregular Bethe Lattice (TDIBL). In this work, we explore a TDIBL with the intent to realize the right tradeoff among different percolating variates, namely, cluster size distribution (CSD), cri...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-03-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723000682 |
| _version_ | 1797870625594802176 |
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| author | Muhammad Imran Shahid Neal N. Xiong Jingli Ren |
| author_facet | Muhammad Imran Shahid Neal N. Xiong Jingli Ren |
| author_sort | Muhammad Imran Shahid |
| collection | DOAJ |
| description | This article anticipates the puzzle of acquiring a three-dimensional inhomogeneous site percolation on an irregular Bethe Lattice (TDIBL). In this work, we explore a TDIBL with the intent to realize the right tradeoff among different percolating variates, namely, cluster size distribution (CSD), critical occupation probability (COP), percolating probability (PP), and mean cluster size (MCS). The variates results are acquired using the generating function (GF) and generalized recursive approaches (GRA). The findings revealed that, for inhomogeneous site percolation (ISP) on the proposed model, the high fraction of probabilities (occupation and distribution probabilities) boosts the intensity of the process, which will enlarge the mean degree of the system in the percolation process. Moreover, numerical simulation and sensitivity analysis will also enhance our understanding of the percolating process via 2D and 3D. Their corresponding shape profiles of earned findings are drawn to perceive their dynamics amongst the options of entailed parameters. Furthermore, exhausting the above scheme, we discuss the transmission behavior of the novel corona-virus 2019 (COVID-19) and present particular disease-control schemes courtesy of groups with numerous infection probabilities and find the effect according to the age distribution. We recognize that this endeavor is timely, that it will be about curiosity, and that it will include scientists working with diverse percolation approaches. |
| first_indexed | 2024-04-10T00:30:21Z |
| format | Article |
| id | doaj.art-e34cb32fb68b4016bd4ec8368321d7df |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-10T00:30:21Z |
| publishDate | 2023-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-e34cb32fb68b4016bd4ec8368321d7df2023-03-15T04:27:46ZengElsevierResults in Physics2211-37972023-03-0146106275A novel method for the 3D inhomogeneous percolation on the Lattice with its applicationMuhammad Imran Shahid0Neal N. Xiong1Jingli Ren2Henan Academy of Big Data/School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, ChinaDepartment of Computer Science and Mathematics, Sul Ross State University, Alpine, TX 79830, USAHenan Academy of Big Data/School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China; Corresponding author.This article anticipates the puzzle of acquiring a three-dimensional inhomogeneous site percolation on an irregular Bethe Lattice (TDIBL). In this work, we explore a TDIBL with the intent to realize the right tradeoff among different percolating variates, namely, cluster size distribution (CSD), critical occupation probability (COP), percolating probability (PP), and mean cluster size (MCS). The variates results are acquired using the generating function (GF) and generalized recursive approaches (GRA). The findings revealed that, for inhomogeneous site percolation (ISP) on the proposed model, the high fraction of probabilities (occupation and distribution probabilities) boosts the intensity of the process, which will enlarge the mean degree of the system in the percolation process. Moreover, numerical simulation and sensitivity analysis will also enhance our understanding of the percolating process via 2D and 3D. Their corresponding shape profiles of earned findings are drawn to perceive their dynamics amongst the options of entailed parameters. Furthermore, exhausting the above scheme, we discuss the transmission behavior of the novel corona-virus 2019 (COVID-19) and present particular disease-control schemes courtesy of groups with numerous infection probabilities and find the effect according to the age distribution. We recognize that this endeavor is timely, that it will be about curiosity, and that it will include scientists working with diverse percolation approaches.http://www.sciencedirect.com/science/article/pii/S2211379723000682Site percolationPercolating probabilityTDIBLTransmissionCOVID-19Phase transition |
| spellingShingle | Muhammad Imran Shahid Neal N. Xiong Jingli Ren A novel method for the 3D inhomogeneous percolation on the Lattice with its application Results in Physics Site percolation Percolating probability TDIBL Transmission COVID-19 Phase transition |
| title | A novel method for the 3D inhomogeneous percolation on the Lattice with its application |
| title_full | A novel method for the 3D inhomogeneous percolation on the Lattice with its application |
| title_fullStr | A novel method for the 3D inhomogeneous percolation on the Lattice with its application |
| title_full_unstemmed | A novel method for the 3D inhomogeneous percolation on the Lattice with its application |
| title_short | A novel method for the 3D inhomogeneous percolation on the Lattice with its application |
| title_sort | novel method for the 3d inhomogeneous percolation on the lattice with its application |
| topic | Site percolation Percolating probability TDIBL Transmission COVID-19 Phase transition |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723000682 |
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