Download pdf
Compartmental SICR model applied on study of celebrity worship behaviour
- 1 Tengzhou No.1 High School
- 2 Shanghai Southwest Weiyu Middle School
- 3 Chongqing No.1 Middle School
* Author to whom correspondence should be addressed.
Abstract
We notice that there are lots of researches that studies celebrity worship behaviour and celebrity endorsement. Nevertheless, few go deep into a mathematical perspective, much less try to quantify this ambiguous process due to the lack of suitable models. In this research, we pioneer a new way, using SICR epidemic model, to fully describe the process of celebrity worship in details, through which we make predictions based on the basic reproduction number whether a celebrity could expand his or her fan base continuously. Meanwhile, not only do we further diversify the function of SICR model, but we also make improvements on the model itself. At the end of research, we also provide useful suggestions for celebrities and their brokerage companies about how to keep the number of their fans increasing rather than hit a bottleneck so quickly. The fact is that celebrities should emphasize the avoidance of negative events instead of positive publicity and be attractive to more groups of people rather than stick to one specific group only.
Keywords
celebrity worship, SICR model, sensitivity analysis, fan base, fanatic
[1]. Zipporah, Mwendwa Mildred, and Hellen K. Mberia. "The effects of celebrity endorsement in advertisements." International Journal of Academic Research in Economics and Management Sciences 3.5 (2014): 178.
[2]. Zipporah, Mwendwa Mildred, and Hellen K. Mberia. "The effects of celebrity endorsement in advertisements." International Journal of Academic Research in Economics and Management Sciences 3.5 (2014): 178.
[3]. McCutcheon, Lynn E., Rense Lange, and James Houran. "Conceptualization and measurement of celebrity worship." British journal of psychology 93.1 (2002): 67-87.
[4]. Reeves, Robert A., Gary A. Baker, and Chris S. Truluck. "Celebrity worship, materialism, compulsive buying, and the empty self." Psychology & Marketing 29.9 (2012): 674-679.
[5]. Chung, Siyoung, and Hichang Cho. "Fostering parasocial relationships with celebrities on social media: Implications for celebrity endorsement." Psychology & Marketing 34.4 (2017): 481-495.
[6]. Elberse, Anita, and Jeroen Verleun. "The economic value of celebrity endorsements." Journal of advertising Research 52.2 (2012): 149-165.
[7]. Hung, Kineta, Kimmy W. Chan, and H. Tse Caleb. "Assessing celebrity endorsement effects in China: A consumer-celebrity relational approach." Journal of advertising research 51.4 (2011): 608-623.
[8]. Van den Driessche, Pauline, and James Watmough. "Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission." Mathematical biosciences 180.1-2 (2002): 29-48.
[9]. Ma, Junling. "Estimating epidemic exponential growth rate and basic reproduction number." Infectious Disease Modelling 5 (2020): 129-141.
[10]. D'Arienzo, Marco, and Angela Coniglio. "Assessment of the SARS-CoV-2 basic reproduction number, R 0, based on the early phase of COVID-19 outbreak in Italy." Biosafety and health 2.02 (2020): 57-59.
[11]. Zou, Lan, Shigui Ruan, and Weinian Zhang. "On the sexual transmission dynamics of hepatitis B virus in China." Journal of theoretical biology 369 (2015): 1-12.
[12]. Hethcote, Herbert W. "Qualitative analyses of communicable disease models." Mathematical biosciences 28.3-4 (1976): 335-356.
[13]. Ji, Chunyan, and Daqing Jiang. "Threshold behaviour of a stochastic SIR model." Applied Mathematical Modelling 38.21-22 (2014): 5067-5079.
[14]. Weiss, Howard Howie. "The SIR model and the foundations of public health." Materials matematics (2013): 0001-17.
[15]. Zan, Yongli, et al. "SICR rumor spreading model in complex networks: Counterattack and self-resistance." Physica A: Statistical Mechanics and its Applications 405 (2014): 159-170.
[16]. Qiao, Meihong, Anping Liu, and Urszula Foryś. "Qualitative analysis of the SICR epidemic model with impulsive vaccinations." Mathematical Methods in the Applied Sciences 36.6 (2013): 695-706.
[17]. Li, Michael Y., and James S. Muldowney. "Global stability for the SEIR model in epidemiology." Mathematical biosciences 125.2 (1995): 155-164.
[18]. Caccavo, Diego. "Chinese and Italian COVID-19 outbreaks can be correctly described by a modified SIRD model." MedRxiv (2020).
[19]. Acemoglu, Daron, Victor Chernozhukov, Iván Werning, and Michael D. Whinston. 2021. "Optimal Targeted Lockdowns in a Multigroup SIR Model." American Economic Review: Insights, 3 (4): 487-502.
[20]. Hackley, Chris, and Rungpaka Amy Hackley. "Marketing and the cultural production of celebrity in the era of media convergence." Journal of marketing management 31.5-6 (2015): 461-477.
[21]. Beretta, Edoardo, and Vincenzo Capasso. Global stability results for a multigroup SIR epidemic model. na, 1988.
[22]. Yang, Kuen-Cheh, et al. "Cost-effectiveness analysis of universal influenza vaccination: Application of the susceptible–infectious–complication–recovery model." International Journal of Infectious Diseases 73 (2018): 102-108.
[23]. Gray, Jonathan. "New audiences, new textualities: Anti-fans and non-fans." International journal of cultural studies 6.1 (2003): 64-81.
Cite this article
Xing,S.;Liu,M.;Huang,K. (2023). Compartmental SICR model applied on study of celebrity worship behaviour. Applied and Computational Engineering,14,7-17.
Data availability
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
Disclaimer/Publisher's Note
The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of EWA Publishing and/or the editor(s). EWA Publishing and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.
About volume
Volume title: Proceedings of the 5th International Conference on Computing and Data Science
© 2024 by the author(s). Licensee EWA Publishing, Oxford, UK. This article is an open access article distributed under the terms and
conditions of the Creative Commons Attribution (CC BY) license. Authors who
publish this series agree to the following terms:
1. Authors retain copyright and grant the series right of first publication with the work simultaneously licensed under a Creative Commons
Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this
series.
2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the series's published
version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial
publication in this series.
3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and
during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See
Open access policy for details).