Modeling Coronavirus Spread Rate Utilizing Dimensional Analysis via an Irredundant Set of Fundamental Quantities
Mostafa Ali Rushdi, Ali Muhammad Rushdi
International Journal of Pathogen Research · pp. 8–21 · Published 4 Nov 2020
10.9734/ijpr/2020/v5i330133Abstract
The phenomenon of spread of a (pathogenic) virus involves many physical variables, and is not amenable to satisfactory analysis via conventional methods. Dimensional Analysis (DA) is singled out as a simple and accessible way that can determine (at least qualitatively) how virus spread is related to seven physical quantities that are thought to influence it. However, classical DA deduces four dimensionless products only, none of which incorporates temperature and humidity, despite the obvious relevance of these two meteorological factors. This paper proposes an alternative version of dimensional analysis using a novel irredundant set of three fundamental quantities only. This new DA version produces five dimensionless products, four of which are essentially a replication of the old ones, while the fifth is a novel product that relates both humidity and temperature to other influencing factors. Our novel DA solution is a significant contribution, since it provides a more realistic model for virus spread rate, and it does not ignore any of the essential influencing factors. Such a model might lead to a better understanding of the determinants of spread for the novel coronavirus SARS-CoV-2 that causes the ongoing COVID-19 fatal pandemic.
References (76)
- 1 Advances in neural information processing systems 7 [DOI]
- 2 Numerical Analysis
- 3 On Physically Similar Systems; Illustrations of the Use of Dimensional Equations [DOI]
- 4 Influenza Virus Transmission Is Dependent on Relative Humidity and Temperature [DOI]
- 5 Zika Virus in the Americas — Yet Another Arbovirus Threat [DOI]
- 6 The Effects of Temperature and Relative Humidity on the Viability of the SARS Coronavirus [DOI]
- 7 Effects of Air Temperature and Relative Humidity on Coronavirus Survival on Surfaces [DOI]
- 8 Impact of daily temperature fluctuations on dengue virus transmission by Aedes aegypti [DOI]
- 9 Data Mining and Knowledge Discovery [DOI]
- 10 The Role of Occam's Razor in Knowledge Discovery [DOI]
- 11 Genomic and epidemiological monitoring of yellow fever virus transmission potential [DOI]
- 12 The Principle of Similitude [DOI]
- 13 An epidemiological model for West Nile virus: invasion analysis and control applications [DOI]
- 14 Analysis of SIR epidemic model with information spreading of awareness [DOI]
- 15 Occam's Razor
- 16 Historico-critical review of dimensional analysis [DOI]
- 17 A generalization of the Π-theorem and dimensional analysis [DOI]
- 18 A fractional order SIR epidemic model for dengue transmission [DOI]
- 19 Effect of pH and temperature on the infectivity of human coronavirus 229E [DOI]
- 20 Estimating biologically relevant parameters under uncertainty for experimental within-host murine West Nile virus infection [DOI]
- 21 Dimensional analysis and theory of biological similarity [DOI]
- 22 Qualitative physics using dimensional analysis [DOI]
- 23 Hepatitis C Virus Maintains Infectivity for Weeks After Drying on Inanimate Surfaces at Room Temperature: Implications for Risks of Transmission [DOI]
- 24 Solution of Fractional SIR Epidemic Model Using Residual Power Series Method [DOI]
- 25 The origin of dimensional analysis [DOI]
- 26 Karnaugh-Map Utility in Medical Studies: The Case of Fetal Malnutrition [DOI]
- 27 Solving a modified nonlinear epidemiological model of computer viruses by homotopy analysis method [DOI]
- 28 A novel technique to solve the modified epidemiological model of computer viruses [DOI]
- 29 Multidimensional Analysis: Algebras and Systems for Science and Engineering [DOI]
- 30 Algebraic theory of dimensional analysis [DOI]
- 31 Dimensional Analysis of UVGI Air Disinfection Systems [DOI]
- 32 Dimensional analysis of nerve models [DOI]
- 33 Self-Assembly Dynamics of Linear Virus-Like Particles: Theory and Experiment [DOI]
- 34 Dynamics of virus spread in the presence of fluid flow [DOI]
- 35 On the Fundamental Masses Derivable by Dimensional Analysis [DOI]
- 36 Novel Pedagogical Methods for Conditional-Probability Computations in Medical Disciplines [DOI]
- 37 Dimensional analysis of MINMOD leads to definition of the disposition index of glucose regulation and improved simulation algorithm [DOI]
- 38 Development of Modified Nodal Analysis into a Pedagogical Tool [DOI]
- 39 Systematization of dimensionless quantities by group theory [DOI]
- 40 Exposition and Comparison of Two Kinds of a Posteriori Analysis of Fault Trees [DOI]
- 41 Theoretical Foundation of Dimensional Analysis [DOI]
- 42 Examples of unconventional dimensional analysis [DOI]
- 43 The Use of Dimensional Analysis in Present Day Design Environment [DOI]
- 44 Dimensional analysis via directed graphs [DOI]
- 45 An Exposition of the Eight Basic Measures in Diagnostic Testing Using Several Pedagogical Tools [DOI]
- 46 Dimensional analysis in the venous system [DOI]
- 47 THE SCOPE OF DIMENSIONAL ANALYSIS IN QUALITATIVE REASONING [DOI]
- 48 Qualitative reasoning, dimensional analysis and computer algebra [DOI]
- 49 On Dimensional Analysis, Redundancy in set of fundamental quantities and Proposal of a New Set [DOI]
- 50 INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER [DOI]
- 51 Correlation between weather and Covid-19 pandemic in Jakarta, Indonesia [DOI]
- 52 Association between ambient temperature and COVID-19 infection in 122 cities from China [DOI]
- 53 Effects of temperature and humidity on the daily new cases and new deaths of COVID-19 in 166 countries [DOI]
- 54 Temperature significantly changes COVID-19 transmission in (sub)tropical cities of Brazil [DOI]
- 55 Applied Dimensional Analysis and Modeling [DOI]
- 56 The sensitivity and specificity analyses of ambient temperature and population size on the transmission rate of the novel coronavirus (COVID-19) in different provinces of Iran [DOI]
- 57 The effect of climate on the spread of the COVID-19 pandemic: A review of findings, and statistical and modelling techniques [DOI]
- 58 Temperature Decreases Spread Parameters of the New Covid-19 Case Dynamics [DOI]
- 59 Applied Mathematics and Information Sciences [DOI]
- 60 Influence of Absolute Humidity, Temperature and Population Density on COVID-19 Spread and Decay Durations: Multi-Prefecture Study in Japan [DOI]
- 61 The role of prostitution on HIV transmission with memory: A modeling approach [DOI]
- 62 Effects of Air Temperature and Relative Humidity on Coronavirus Survival on Surfaces [DOI]
- 63 No Evidence for Temperature-Dependence of the COVID-19 Epidemic [DOI]
- 64 Containing the spread of coronavirus disease 2019 (COVID-19): Meteorological factors and control strategies [DOI]
- 65 Water disinfection by orifice-induced hydrodynamic cavitation [DOI]
- 66 Numerical Treatment for Stochastic Computer Virus Model [DOI]
- 67 A new model of overall heat transfer coefficient of hot wax oil pipeline based on dimensionless experimental analysis [DOI]
- 68 Common Fallacies of Probability in Medical Context: A Simple Mathematical Exposition [DOI]
- 69 Solutions of Ternary Problems of Conditional Probability with Applications to Mathematical Epidemiology and the COVID-19 Pandemic [DOI]
- 70 Speed of virus infection by classical dimensional analysis [DOI]
- 71 Investigation of the Corona Discharge Problem Based on Different Computational Approaches of Dimensional Analysis [DOI]
- 72 International Journal of Environmental Research and Public Health [DOI]
- 73 High Temperature and High Humidity Reduce the Transmission of COVID-19 [DOI]
- 74 Effect of Temperature on the Transmission of COVID-19: A Machine Learning Case Study in Spain [DOI]
- 75 Data-driven dimensional analysis: algorithms for unique and relevant\n dimensionless groups [DOI]
- 76 The fractal time growth of COVID-19 pandemic: an accurate self-similar\n model, and urgent conclusions [DOI]
Cited by 3
Mostafa Ali Rushdi, Ali Muhammad Rushdi · International Journal of Mathematical, Engineering and Management Sciences · 2021
Showing 1 of 3 known citations — external sources report more than can currently be individually listed.
Related research
- Impact of COVID -19 on Gallstones Patients — shares topic coverage
- Analyzing the Effect of Lockdown on Weather Parameters Amid COVID-19 Pandemic of Mid Hill Region of Rajouri District of Jammu & Kashmir, Union Territory, India — shares topic coverage
- Associating Unemployment with Panic Attack Using Deep Learning during COVID-19 — shares topic coverage
- The Performance of Online Teaching for Flipped Classroom Based on COVID-19 Aspect — shares topic coverage
- Cultural Arts Tourism Business during the COVID-19 Pandemic (Case Study: Saung Mang Udjo, West Java, Indonesia) — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
3
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.