A mathematical model of social media popularity with standard incidence rate

Windarto, ,- and Utami Dyah Purwati, ,- and Nadiyah Amalia, ,- A mathematical model of social media popularity with standard incidence rate. In: IOP Conference Series: Materials Science and Engineering. IOP Science.

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Official URL: https://iopscience.iop.org/article/10.1088/1757-89...


Facebook, Instagram, Twitter are some popular social media. DeLegge and Wangler (2017) have developed a Susceptible-Infectious-Removed type mathematical model to describe social media popularity. The DeLegge and Wangler model was a bilinear incidence rate model. In this paper, we improve the DeLegge and Wangler model by considering standard incidence rate. The presented model takes the form of an ordinary differential equation system that describes dynamic of susceptible (population of who are not social media users), infectious population (population of social networks users) and removed population (population of who leave social media). The presented model has three equilibria namely the "no social media users" equilibrium, "very popular social media" equilibrium and "popular social media" equilibrium. We find that the three equilibria are conditionally asymptotically stable. We also perform some numerical simulations to verify the analytical results.

Item Type: Book Section
Subjects: Q Science > QA Mathematics > QA1 Mathematics (General)
Divisions: 08. Fakultas Sains dan Teknologi > Matematika
Utami Dyah Purwati, ,-UNSPECIFIED
Nadiyah Amalia, ,-UNSPECIFIED
Depositing User: Mr Vega Andi Budiman
Date Deposited: 23 Jun 2023 23:54
Last Modified: 23 Jun 2023 23:54
URI: http://repository.unair.ac.id/id/eprint/127574
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