Optimal Strategies for Vaccination using the Stochastic SIRV Model
Ishikawa Masaaki
- Vol. 25, Iss: 12, pp 343-348
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The article was published on 2012-12-15 and is currently open access. It has received 10 citations till now.read more
Citations
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Journal ArticleDOI
An SEIRS epidemic model with stochastic transmission
TL;DR: In this article, the authors prove the existence of global positive solutions for an SEIRS epidemic model with stochastic perturbations on transmission from the susceptible class to the latent and infectious classes.
Journal ArticleDOI
Optimal control analysis of deterministic and stochastic epidemic model with media awareness programs
TL;DR: In this article, the optimal control analysis of both deterministic differential equation modeling and stochastic differential equation modelling of infectious disease by taking effects of media awareness programs and treatment of infectives on the epidemic into account is considered.
Proceedings ArticleDOI
Finite-horizon closed-loop Nash game for stochastic large-scale systems with multiple decision makers
TL;DR: The purpose of this paper is to investigate a finite-time horizon closed-loop Nash game for a class of stochastic systems and the condition necessary to attain Nash equilibrium is derived by means of stoChastic maximum principle.
Journal ArticleDOI
SIRVVD model-based verification of the effect of first and second doses of COVID-19/SARS-CoV-2 vaccination in Japan
Yuto Omae,Yohei Kakimoto,Makoto Sasaki,Jun Toyotani,Kazuyuki Hara,Yasuhiro Gon,Yasuhiro Gon,Yasuhiro Gon,Hirotaka Takahashi,Hirotaka Takahashi,Hirotaka Takahashi +10 more
TL;DR: In this paper, the effect of COVID-19 vaccination on the number of infected individuals in Japan was evaluated using an infection simulation, and the results confirmed that appropriate vaccination measures will sufficiently reduce the infected individuals and reduce the mortality rate.
Journal ArticleDOI
On exact integrability of a Covid‐19 model: SIRV
Navid Amiri Babaei,Teoman Özer +1 more
TL;DR: In this paper , the integrability conditions and exact analytical solutions of the initial value problem defined for the prominent SIRV model used for the pandemic Covid•19 are investigated by using the partial Hamiltonian approach based on the theory of Lie groups.
References
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Journal ArticleDOI
The Mathematics of Infectious Diseases
TL;DR: Threshold theorems involving the basic reproduction number, the contact number, and the replacement number $R$ are reviewed for classic SIR epidemic and endemic models and results with new expressions for $R_{0}$ are obtained for MSEIR and SEIR endemic models with either continuous age or age groups.
Book
Optimal Control of Systems Governed by Partial Differential Equations
TL;DR: In this paper, the authors consider the problem of minimizing the sum of a differentiable and non-differentiable function in the context of a system governed by a Dirichlet problem.
Book
Stochastic Epidemic Models and Their Statistical Analysis
Håkan Andersson,Tom Britton +1 more
TL;DR: In this paper, a simple epidemic model: The Reed-Frost model is presented. But it is not a deterministic model and it cannot be used to model the entire population of a population.
Book
forward-backward-stochastic-differential-equations-and-their-applications
Jin Ma,Jiongmin Yong +1 more
TL;DR: Linear Equations and Optimal Control: Linear, Degenerate Backward Stochastic Partial Di erential Equations (Linear FBSDEs) as mentioned in this paper.
Journal ArticleDOI
Optimal control of an HIV immunology model
TL;DR: In this paper, a system of ordinary differential equations, which describes the interaction of HIV and T-cells in the immune system is utilized, and optimal controls representing drug treatment strategies of this model are explored.