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Mathematical modeling with optimal control analysis of social media addiction

Infectious Disease Modelling 2021年第1期6卷 405-419页

作者： haileyesus tessema alemneh Negesse Yizengaw Alemu Department of Mathematics College of Natural and Computational SciencesUniversity of GondarGondarEthiopia

In this paper,we developed a deterministic mathematical model of social media addiction(SMA)with an optimal control *** qualitative analysis like the social media addiction free equilibrium point(E_(0)),endemic equilibrium point(E^(*)),basic reproduction number eR0T,were *** the stability analysis,we found that the social media addiction free equilibrium point(SMAFEP)is locally asymptotically stable if R_(0)1 the unique endemic equilibruim is locally assymptotically *** using Center Manifold theorem,the model exhabits a forward bifurcation at R_(0)=*** sensitivity of model parameters is done using the normalized forward sensitivity index ***,we introduced two time dependent controls on the basic model and formulated an optimal control ***,we used the Pontryagin’s maximum principle to find the optimal system of the *** simulations,on the optimal control problem using the fourth-order Range-Kutta forward-backward sweep method,on the suggested strategies for SMA is *** found that to effectively control SMA at a specified period of time,stakeholders and policymakers must apply the integrated control strategies C.

关键词： Social media addiction Compartmental model Stablity analysis Optimal control Numerical simulation

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An optimal control model with cost effectiveness analysis of Maize streak virus disease in maize plant

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Infectious Disease Modelling 2021年第1期6卷 169-182页

作者： haileyesus tessema alemneh Assefa Sintayehu Kassa Anteneh Asmare Godana Department of Mathematics College of Natural and Computational SciencesUniversity of GondarGondarEthiopia Pan African University Institute of Basic Sciences Technology and InnovationNairobiKenya Department of Plant Sciences College of Agriculture and Rural TransformationUniversity of GondarGondarEthiopia Department of Statistics College of Natural and Computational SciencesUniversity of GondarGondarEthiopia

In this paper we formulated and analyzed an optimal deterministic eco-epidemiological model for the dynamics of maize streak virus(MSV)and examine the best strategy to fight maize population from maize streak disease(MSD).The optimal control model is developed with three control interventions,namely prevention(u_(1)),quarantine(u_(2))and chemical control(u_(3)).To achieve an optimal control strategy,we used the Pontryagin’s maximum principle obtain the Hamiltonian,the adjoint variables,the characterization of the controls and the optimality *** simulations are performed using Forward-backward sweep iterative *** findings show that each integrated strategy is able to mitigate the disease in the specified *** due to limited resources,it is important to find a cost-effective *** Incremental Cost-Effectiveness Ratio(ICER)a cost-effectiveness analysis is investigated and determined that the combination of prevention and quarantine is the best cost-effective strategy from the other integrated ***,policymakers and stakeholders should apply the integrated intervention to stop the spread of MSV in the maize population.

关键词： MSV Eco-epidemiological model Optimal control theory Numerical simulation Cost-effectiveness analysis

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