Optimal Control of Heterogeneous Mutating Viruses

Gubar, Elena; Taynitskiy, Vladislav; Zhu, Quanyan

doi:10.3390/g9040103

Cited by 20 publications

(15 citation statements)

References 23 publications

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“…Mathematical modeling is important in the study of infectious diseases and in the development of public health policies (Gubar, Taynitskiy, and Zhu 2018). Nonetheless, agent-based modeling and similar simulations have limited potential to account for changes in human behavior during epidemics.…”

Section: Resultsmentioning

confidence: 99%

Virtual reality and massive multiplayer online role-playing games as possible prophylaxis mathematical model: focus on COVID-19 spreading

Fiorillo

Cicciù

Stefano

et al. 2020

Epidemiologic Methods

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The digital field certainly provides a lot of information in the medical field, it is possible, in a computerized way, also to simulate epidemics, and the spread of these. There have been events in the past, in some simulation games, which are currently being studied, as they could provide important clues for the resolution of epidemics such as the one from COVID-19. One of these events occurred due to a bug in 2005 in the role-playing online game World of Warcraft. Through these simulations it is possible to make prophylactic plans to intervene preventively or plan interventions throughout mathematical models.

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Section: Resultsmentioning

confidence: 99%

Virtual reality and massive multiplayer online role-playing games as possible prophylaxis mathematical model: focus on COVID-19 spreading

Fiorillo

Cicciù

Stefano

et al. 2020

Epidemiologic Methods

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show abstract

“…We have developed a mathematical model and a computer simulation aiming at establishing the connections between the number of pandemic disease strains and the pandemic's spread in the population for any pathogen, under the epidemiological SIRD model. Unlike the previous modeling approaches [12,38,40], we have extended the strain diversity for any arbitrary number (m) and did not introduce any pathogen-specific attributes, keeping the model as generic as possible.…”

Section: Discussionmentioning

confidence: 99%

“…In our model, we relax this assumption, allowing individuals to be infected once by each strain. Comparably, Gubar et al [40] proposed an extended SIR model with two strains with different infection and recovery rates. The authors considered a group of latent individuals who are already infected but do not have any clinical symptoms.…”

Section: Introduction and Related Workmentioning

confidence: 99%

Generic Approach For Mathematical Model of Multi-Strain Pandemics

Lazebnik

Bunimovich‐Mendrazitsky

2021

Preprint

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Pandemics with multi-strain have become a major concern. We introduce a new model for assessing the connection between multi-strain pandemic and the mortality rate, basic reproduction number, and the maximum of infected individuals. The proposed model provides a general mathematical approach for representing multi-strain pandemics, generalizing for an arbitrary number of strains. We show the proposed model fits well with epidemiological historical data world health over a long period. From a theoretical point of view, we show that the increasing number of strains increases logarithmically the maximum number of infected individuals and the mean mortality rate. Moreover, the mean basic reproduction number is statistically identical to the single, most aggressive strain pandemic for multi-strain pandemics.

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“…The existence of local stability and global stability indicates that the development of this infectious disease will not appear large-scale repeated infection, and will eventually maintain a static equilibrium with the passage of time. Moreover, based on Pontryagin maximum principle [44], an optimal strategy is proposed to control the spread of virus with minimum cost.…”

Section: Dynamic Analysis and Optimal Strategymentioning

confidence: 99%

Dynamical Analysis and Optimal Control for a SEIR Model Based on Virus Mutation in WSNs

et al. 2021

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With the rapid development of science and technology, the application of wireless sensor networks (WSNs) is more and more widely. It has been widely concerned by scholars. Viruses are one of the main threats to WSNs. In this paper, based on the principle of epidemic dynamics, we build a SEIR propagation model with the mutated virus in WSNs, where E nodes are infectious and cannot be repaired to S nodes or R nodes. Subsequently, the basic reproduction number R0, the local stability and global stability of the system are analyzed. The cost function and Hamiltonian function are constructed by taking the repair ratio of infected nodes and the repair ratio of mutated infected nodes as optimization control variables. Based on the Pontryagin maximum principle, an optimal control strategy is designed to effectively control the spread of the virus and minimize the total cost. The simulation results show that the model has a guiding significance to curb the spread of mutated virus in WSNs.

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Optimal Control of Heterogeneous Mutating Viruses

Cited by 20 publications

References 23 publications

Virtual reality and massive multiplayer online role-playing games as possible prophylaxis mathematical model: focus on COVID-19 spreading

Virtual reality and massive multiplayer online role-playing games as possible prophylaxis mathematical model: focus on COVID-19 spreading

Generic Approach For Mathematical Model of Multi-Strain Pandemics

Dynamical Analysis and Optimal Control for a SEIR Model Based on Virus Mutation in WSNs

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