COVID-19 and Rumors: A Dynamic Nested Optimal Control Model

Hezam, Ibrahim M.; Almshnanah, Abdulkarem; Mubarak, Ahmed A.; Das, Amrit; Foul, Abdelaziz; Alrasheedi, Adel Fahad

doi:10.1016/j.patcog.2022.109186

Cited by 6 publications

(2 citation statements)

References 21 publications

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“…At the date of writing this introduction, we perceive the recent References 11‐14 as relevant contributions of models related with applications of optimal control theory. Hezam et al 11 propose a dynamical nested control model to describe the number of rumor‐spreaders and COVID‐19‐infected individuals. Abdin et al 12 propose a pandemic resource allocation model for allocating limited disease detection resources 12 .…”

Section: Introductionmentioning

confidence: 99%

Synchronizing lockdown and vaccination policies for COVID‐19: An optimal control approach based on piecewise constant strategies

Salcedo-Varela

Peñuñuri

González‐Sánchez

et al. 2023

Optim Control Appl Methods

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We are still facing the devastating consequences of COVID‐19. At the beginning of this pandemic, lockdown and non‐pharmaceutical measures were the unique, effective strategy to overcome the ongoing outbreak. After almost a year, an exceptional effort gave the first efficient protective vaccines. Despite these significant advances, new challenges as its mass production and fair distribution emerge. Our work aims to address this balance by formulating an optimal epidemic control problem controlled by lockdown and vaccination but in a synchronized manner. In such a way that the sought‐after solution optimizes the burden and economic implications of COVID‐19 infections and deaths. Thus, we formulate an optimal control problem with a differential equation to describe the spread of COVID‐19. Our formulation measures the efficiency of these controls by a functional cost involving the burden of COVID‐19 quantified in DALYs and the costs regarding vaccination and lockdown. Then we minimize this cost subject to the controlled system and find optimal policies that are constant in time intervals of a given size. To this end, we apply the well‐established heuristic method known as differential evolution. One of the advantages of these policies relies on their practical implementation since the health authority has to make only a finite number of different decisions. Our methodology to find optimal policies allows changes in the dynamics, the cost functional, or how frequently the policymaker changes actions. We show how a well‐synchronized tradeoff between vaccination and lockdown could under‐peak of the outbreak, with a delicate balance to overcome possible economic consequences.

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Section: Introductionmentioning

confidence: 99%

Synchronizing lockdown and vaccination policies for COVID‐19: An optimal control approach based on piecewise constant strategies

Salcedo-Varela

Peñuñuri

González‐Sánchez

et al. 2023

Optim Control Appl Methods

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show abstract

“…In general, epidemic models are widely used in the construction of spread models because of their characteristics 10 . The occurrence of emergencies causes false information to spread within groups, i.e., the spread of rumours 11 , 12 . To determine the spread law of rumours within groups, Hu et al 13 , 14 built a rumour spread model based on the epidemic model, considering the proportion of each type of group in the community and the individuals’ different attitudes towards rumour spread.…”

Section: Introductionmentioning

confidence: 99%

Research on panic spread and decision behaviour in a delayed SEIR evolutionary game model under an emergency

Lv,

Li,

Sun

et al. 2023

Sci Rep

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Taking major emergencies as the research background, the transmission mechanism for panic spread and the decision behaviour of the opinion field are explored in this paper. By using evolutionary game theory to explore the game relationship between the official opinion field and the public opinion field and by considering the existence of strategy dependency in the same game group, the dependence coefficient is introduced to improve replicator dynamics. The dynamic delayed SEIR evolutionary game model is built by combining the epidemic model with the delay effect within the group, and the stability of the proposed model is analysed. The research results show that the strategy dependency among the same game group has positive and negative effects on the evolution process. The evolution of the dynamic delayed panic SEIR evolutionary game spread model under the effect of a positive effect is simulated. The results suggest that the official opinion field and the public opinion field should actively deal with emergencies, formulate effective control strategies to make the panic within the group disappear, and provide theoretical guidance for the relevant government to formulate plans.

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A novel collocation method with a coronavirus optimization algorithm for the optimal control of COVID-19: A case study of Wuhan, China

Khanduzi,

Jajarmi,

Ebrahimzadeh

et al. 2024

Computers in Biology and Medicine

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COVID-19 and Rumors: A Dynamic Nested Optimal Control Model

Cited by 6 publications

References 21 publications

Synchronizing lockdown and vaccination policies for COVID‐19: An optimal control approach based on piecewise constant strategies

Synchronizing lockdown and vaccination policies for COVID‐19: An optimal control approach based on piecewise constant strategies

Research on panic spread and decision behaviour in a delayed SEIR evolutionary game model under an emergency

A novel collocation method with a coronavirus optimization algorithm for the optimal control of COVID-19: A case study of Wuhan, China

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