Analysis and Simulation of SEIPA Model With Delay Time for HIV-AIDS in South Sulawesi, Indonesia

Sanusi, Wahidah; Annas, Suwardi; Saman, Abdul; Pratama, Muh. Isbar; Rifandi, Muh.; Side, Sumiati

doi:10.2139/ssrn.3884691

Cited by 1 publication

(2 citation statements)

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“…where 𝑎 = 3𝜇 + 𝛼𝑖 + 𝛽 + 𝛿 + 𝜀 + 𝛾 where𝑏 = 3𝜇 2 + 2𝛼𝑖𝜇 + 2𝛽𝜇 + 2𝛿𝜇 + 2𝜀𝜇 + 2𝛾𝜇 + 𝛼𝑖𝛽 − 𝛼𝛽𝑠 + 𝛼𝑖𝛿 + 𝛼𝑖𝜀 + 𝛼𝑖𝛾 + 𝛿𝛽 + 𝛽𝜀 + 𝛿𝜀 + 𝛿𝛾 + 𝛾𝜀 where𝑐 = 𝜇 3 + 𝛼𝑖𝜇 2 + 𝛽𝜇 2 + 𝛿𝜇 2 + 𝜀𝜇 2 + 𝛾𝜇 2 + 𝛼𝑖𝛽𝜇 − 𝛼𝛽𝑠𝜇 + 𝛼𝑖𝛿𝜇 + 𝛼𝑖𝜀𝜇 + 𝛼𝑖𝛾𝜇 + 𝛿𝛽𝜇 + 𝛽𝜀𝜇 + 𝛿𝜀𝜇 + 𝛿𝛾 + 𝛾𝜀𝜇 + 𝛼𝑖𝛿𝛽 − 𝛼𝛽𝛿𝑠 + 𝛼𝑖𝛽𝜀 + 𝛼𝑖𝛿𝜀 + 𝛼𝑖𝛾𝜀 + 𝛿𝛽𝜀 + 𝛿𝛾𝜀 we get 𝜆 = −𝜇 and 𝜆 3 + 𝑎𝜆 2 + 𝑏𝜆 + 𝑐 = 0 (16) To see the negativity of roots, we used Routh-Hurwitz criteria and by the principle equation ( 16) has a strictly negative real root if 𝐻 1 , 𝐻 2 , 𝐻 3 > 0.…”

Section: The Endemic Equilibrium Pointmentioning

confidence: 89%

“…Mathematical modeling plays an important role in comprehending and providing useful techniques to predict and control the dynamics of infectious disease. There have been many studies on the infectious disease dynamics model in social problems, such as social media addiction [12][13], game addiction [14][15][16][17][18], tobacco addiction [19], alcoholic and drug addiction [20][21][22] and Korean related topic [23][24]. These studies have not built SEIRS mathematical models on the problem of celebrity worship tendency in K-Pop fans, so this study will examine the Mathematical Model of Celebrity Worship Tendency among K-Pop Fans (CWKF) in South Sulawesi.…”

Section: Introductionmentioning

confidence: 99%

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Mathematical Model of Celebrity Worship Tendency Among K-Pop Fans in South Sulawesi

Arsita Asni,

Minggi,

Side

et al. 2024

ITM Web Conf.

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Celebrity worship is a form of almost obsessional participation in which people idolize and even start to “worship” their favorite celebrities. Twitter reveals that in 2021, Indonesia was ranked fourth as the country with the most number of Korean Pop (K-Pop) fans. In this study, we constructed a SEIRS mathematical model of celebrity worship tendency among K-Pop fans (CWKF) because there have not been specific mathematical models built on the problem of celebrity worship tendency among K-Pop fans. The CWKF free equilibrium point (E0), endemic equilibrium point (E1), and using the Next Generation Matrix for the Basic Reproduction Number (R0) are calculated through analysis. Using the Routh-Hurwitz criteria for equilibrium analysis, we found that E0 is locally asymptotically stable if R0 < 1, and E1 is locally asymptotically stable if R0 > 1. Secondly, we conduct numerical simulations using Maple software, and research data consisting of 204 individuals from various regions in South Sulawesi serves as the basis for this mathematical analysis. The numerical simulation obtained supports the dynamic analysis results that the number of individuals who are K-Pop fans will decrease in the population and disappear within a certain period, even without any special treatment.

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Section: The Endemic Equilibrium Pointmentioning

confidence: 89%