A Stochastic Optimal Control Model for BCG Immunotherapy in Superficial Bladder Cancer

Aboulaïch, Rajae; Darouichi, Aziz; Elmouki, Ilias; Jraifi, Abdelilah

doi:10.1051/mmnp/201712507

Cited by 11 publications

(2 citation statements)

References 32 publications

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“…In this part, we suppose we have three interconnected regions, and we investigate numerically using the stochastic progressive-regressive schemes method presented in [45] the effectiveness of the optimal control approach presented above. In our simulations, we note that:…”

Section: Numerical Resultsmentioning

confidence: 99%

Role of Media and Effects of Infodemics and Escapes in the Spatial Spread of Epidemics: A Stochastic Multi-Region Model with Optimal Control Approach

et al. 2019

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Mass vaccination campaigns play major roles in the war against epidemics. Such prevention strategies cannot always reach their goals significantly without the help of media and awareness campaigns used to prevent contacts between susceptible and infected people. Feelings of fear, infodemics, and misconception could lead to some fluctuations of such policies. In addition to the vaccination strategy, the movement restriction approach is essential because of the factor of mobility or travel. However, anti-epidemic border measures may also be disturbed if some infected travelers manage to escape and infiltrate into a safer region. In this paper, we aim to study infection dynamics related to the spatial spread of an epidemic in interconnected regions in the presence of random perturbations caused by the three above-mentioned reasons. Therefore, we devise a stochastic multi-region epidemic model in which contacts between susceptible and infected populations, vaccination-based and movement restriction optimal control approaches are all assumed to be unpredictable, and then, we discuss the effectiveness of such policies. In order to reach our goal, we employ a stochastic maximum principle version for noised systems, state and prove the sufficient and necessary conditions of optimality, and finally provide the numerical results obtained using a stochastic progressive-regressive schemes method.

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Section: Numerical Resultsmentioning

confidence: 99%

Role of Media and Effects of Infodemics and Escapes in the Spatial Spread of Epidemics: A Stochastic Multi-Region Model with Optimal Control Approach

et al. 2019

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“…The definition of fractional order operators can preserve hereditary and memory traits of a considered functions in a real problem. This property helps researchers to propose more accurate models of various phenomena [34,6,3,5,16,7,21]. Thus, many problems in physics, economics and other sciences have been modeled as fractional stochastic differential equations [38,44,1,4].…”

mentioning

confidence: 99%

A novel collocation approach to solve a nonlinear stochastic differential equation of fractional order involving a constant delay

Banihashemi¹,

Jafaria²,

Babaei³

2022

DCDS-S

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In present work, a step-by-step Legendre collocation method is employed to solve a class of nonlinear fractional stochastic delay differential equations (FSDDEs). The step-by-step method converts the nonlinear FSDDE into a non-delay nonlinear fractional stochastic differential equation (FSDE). Then, a Legendre collocation approach is considered to obtain the numerical solution in each step. By using a collocation scheme, the non-delay nonlinear FSDE is reduced to a nonlinear system. Moreover, the error analysis of this numerical approach is investigated and convergence rate is examined. The accuracy and reliability of this method is shown on three test examples and the effect of different noise measures is investigated. Finally, as an useful application, the proposed scheme is applied to obtain the numerical solution of a stochastic SIRS model.

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Isoperimetric Control Inequality: Application to the Management of Limited Resources in Times of Pandemics

Elmouki,

Khaled,

Hamdache

et al. 2024

The Landscape of Global Health Inequity

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A Stochastic Optimal Control Model for BCG Immunotherapy in Superficial Bladder Cancer

Cited by 11 publications

References 32 publications

Role of Media and Effects of Infodemics and Escapes in the Spatial Spread of Epidemics: A Stochastic Multi-Region Model with Optimal Control Approach

Role of Media and Effects of Infodemics and Escapes in the Spatial Spread of Epidemics: A Stochastic Multi-Region Model with Optimal Control Approach

A novel collocation approach to solve a nonlinear stochastic differential equation of fractional order involving a constant delay

Isoperimetric Control Inequality: Application to the Management of Limited Resources in Times of Pandemics

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