Mathematical modeling with optimal control analysis of social media addiction

Alemneh, Haileyesus Tessema; Alemu, Negesse Yizengaw

doi:10.1016/j.idm.2021.01.011

Cited by 22 publications

(35 citation statements)

References 13 publications

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“…Quadratic objective functional is considered due to the fact that intervention is non-linear in its nature ( Ndii and Adi, 2021 ). In fact, quadratic control is a common form of an objective functional in an optimal control problem and is frequently used in the literature ( Ndii and Adi, 2021 , Alemneh and Alemu, 2021 , Kim et al., 2018 , Shen et al., 2021 , Majumder et al., 2022 , Zamir et al., 2021 , Omame et al., 2020 , Li and Guo, 2022 ). Thus we have the following objective functional

…”

Section: Optimal Controlmentioning

confidence: 99%

Effect of awareness, quarantine and vaccination as control strategies on COVID-19 with Co-morbidity and Re-infection

Saha¹,

Saha²,

Podder³

2022

Infectious Disease Modelling

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…”

Section: Optimal Controlmentioning

confidence: 99%

Effect of awareness, quarantine and vaccination as control strategies on COVID-19 with Co-morbidity and Re-infection

Saha¹,

Saha²,

Podder³

2022

Infectious Disease Modelling

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“…In this section, sensitivity indices of R 0 with respect to the parameters are calculated, as shown in Table 2, using the formula, where y is the model parameter, following the technique described in [36,37]. These indices show how important each parameter is to the disease transmission.…”

Section: Sensitivity Analysismentioning

confidence: 99%

Enhancing reservoir control in the co-dynamics of HIV-VL: from mathematical modeling perspective

Melese

Alemneh

2021

Adv Differ Equ

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HIV patients are vulnerable to developing active visceral leishmaniasis (VL). To understand this complication, we studied a mathematical model for HIV and visceral leishmaniasis coinfection. In this approach, we reckoned two distinct equilibria: the disease-free and the endemic equilibria. The local and global stability of the disease-free equilibrium were thoroughly investigated. To further support the qualitative findings, we performed simulations to quantify the changes of the dynamical behavior of the full model for variation of relevant parameters. Increasing the rate of VL recovery ($\phi _{1}$ ϕ 1 ), the recovery rate for VL–HIV Co-infection ($\phi _{2}$ ϕ 2 ), removing reservoirs ($c_{1}$ c 1 ), minimizing the contact rate ($\beta _{h}$ β h ) are important in controlling the transmission of individual and co-infection disease of VL and HIV. In conclusion, possible measures should be implemented to reduce the number of infected individuals. Therefore, we recommend that policy makers and stakeholders incorporate these measures during planing and implementation phases to control the transmission of VL–HIV co-infection.

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“…Many researchers have applied infectious disease dynamics model to violence, racism, social media addition, corruption, and other social situations. From those researchers, some were applied modeling for social media addiction [ 34 ], some were used modeling for violence [ 1 – 3 , 33 ], some were applied modeling for racism [ 4 , 5 , 25 ], and others used modeling for corruption dynamics [ 22 – 24 , 26 – 28 , 35 – 38 ]. However, to the best of our knowledge, no one has developed and analyzed a mathematical model on violence-racism coexistence on individuals in a given society.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling Investigation of Violence and Racism Coexistence as a Contagious Disease Dynamics in a Community

Teklu

Terefe

2022

Computational and Mathematical Methods in Medicine

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Recently, violence, racism, and their coexistence have been very common issues in most nations in the world. In this newly social science discipline mathematical modelling approach study, we developed and examined a new violence and racism coexistence mathematical model with eight distinct classes of human population (susceptible, violence infected, negotiated, racist, violence-racism coinfected, recuperated against violence, recuperated against racism, and recuperated against the coinfection). The model takes into account the possible controlling strategies of violence-racism coinfection. All the submodels and the violence-racism coexistence model equilibrium points are calculated, and their stabilities are analyzed. The model threshold values are derived. As a result of the model qualitative analysis, the violence-racism coinfection spreads under control if the corresponding basic reproduction number is less than unity, and it propagates through the community if this number exceeds unity. Moreover, the sensitivity analysis of the parameter values of the full model is illustrated. We have applied MATLAB ode45 solver to illustrate the numerical results of the model. Finally, from qualitative analysis and numerical solutions, we obtain relevant and consistent results.

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Mathematical modeling with optimal control analysis of social media addiction

Cited by 22 publications

References 13 publications

Effect of awareness, quarantine and vaccination as control strategies on COVID-19 with Co-morbidity and Re-infection

Effect of awareness, quarantine and vaccination as control strategies on COVID-19 with Co-morbidity and Re-infection

Enhancing reservoir control in the co-dynamics of HIV-VL: from mathematical modeling perspective

Mathematical Modeling Investigation of Violence and Racism Coexistence as a Contagious Disease Dynamics in a Community

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