Mathematical analysis of the impact of the media coverage in mitigating the outbreak of COVID-19

This paper presents a co-infection mathematical model of COVID-19 and TB to study their synergistic dynamics. We first investigated the single infection models of each disease and then the co-infection dynamics of the two diseases. Indeed, we calculated the basic reproduction number of each model, and then we studied the existence and the stability of the equilibrium points. We subsequently proved that the TB only infection model and the co-infection model exhibit backward and forward bifurcations. In addition, we performed a sensitivity analysis of the basic reproduction numbers to determine which parameters influence them the most. Furthermore, we applied Pontryagin’s maximum principle to our co-infection model to assess the impact of the use of an imperfect vaccine for COVID-19, taken as an optimal control strategy. Finally, we presented the results of the numerical simulations to support the theoretical findings.

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“…We can also prove, using similar contradictions, that the other state variables are positive [ 11 , 14 , 22 , 45 , 47 ].…”

Section: Covid-19 and Tb Co-infection Model Formulationmentioning

confidence: 71%

“…We demonstrate by absurd the positivity of state variables [ 14 , 22 , 45 , 47 ]. First, let and consider the existence of such that and .…”

Section: Covid-19 and Tb Co-infection Model Formulationmentioning

confidence: 99%

Optimal control analysis of a COVID-19 and Tuberculosis (TB) co-infection model with an imperfect vaccine for COVID-19

Diabaté

Sangaré

Koutou

2023

SeMA

Self Cite

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“…Proof. When R 0 > 1, one defines the following Lyapunov function as in ( [17], [12] , [16], [11], [47]):…”

Section: Endemic Equilibriamentioning

confidence: 99%

Estimation of Parameters for the Mathematical Model of the Spread of Hepatitis B in Burkina Faso Using Grey Wolf Optimizer

Kiemtore,

Sawadogo,

Zangré

et al. 2024

Int. J. Anal. Appl.

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In this paper, we developed a mathematical model of differential susceptibility, taking into account vaccination and treatment, to simulate the transmission of the hepatitis B virus in the population of Burkina Faso. The existence and uniqueness of non-negative solutions are proved. The model has a globally asymptotically stable disease free equilibrium when the basic reproduction number R0 < 1 and an endemic equilibrium when R0 > 1. We estimated the parameters of the model based on hepatitis B cases from 1997 to 2020 by using a Grey Wolf Optimizer Algorithm (GWO). The results demonstrated the efficacy of the GWO algorithm in estimating the model parameters. A sensitivity analysis was carried out to determine the determining factors in the spread of hepatitis B in Burkina Faso. The estimated parameters were used to simulate the spread of hepatitis B in Burkina Faso from 1997 to 2020.

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“…The psychological factor was also discussed in [28,29]. And other factors such as rumor control were also considered [30,31], time delay [32,33], pulsive control, and other factors, enriching the theory related to rumor propagation [34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Rumor spreading and control in both homogeneous and heterogeneous networks with guidance mechanism

Wu,

Liu,

et al. 2024

Phys. Scr.

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In this paper, we study the influence of authoritative institutions on rumor propagation and establish an IHSQR model, where Q represents the guided individuals. We consider the homogeneous and heterogeneous network models, respectively. By analyzing the conditions for the global asymptotically stable of equilibria in these models, we show their behavior under various scenarios. For the homogeneous network model, a case study of the Haze rumor is given, which verifies the effectiveness of the model. For the heterogeneous network model, we introduce optimal control to determine the minimum guidance strength and cost. The results show that the guiding role has a significant impact on rumor spread. Specifically, the stronger the guiding role, the smaller the size of rumor spreading. Therefore, to control the spread of rumors, authoritative institutions can play an important guiding role in managing and mitigating rumor propagation.

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Mathematical analysis of the impact of the media coverage in mitigating the outbreak of COVID-19

Cited by 20 publications

References 55 publications

Optimal control analysis of a COVID-19 and Tuberculosis (TB) co-infection model with an imperfect vaccine for COVID-19

Optimal control analysis of a COVID-19 and Tuberculosis (TB) co-infection model with an imperfect vaccine for COVID-19

Estimation of Parameters for the Mathematical Model of the Spread of Hepatitis B in Burkina Faso Using Grey Wolf Optimizer

Rumor spreading and control in both homogeneous and heterogeneous networks with guidance mechanism

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