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  1. Article: A multi-age mathematical modeling of the dynamics of population diabetics with effect of lifestyle using optimal control.

    Kouidere, Abdelfatah / Khajji, Bouchaib / Balatif, Omar / Rachik, Mostafa

    Journal of applied mathematics & computing

    2021  Volume 67, Issue 1-2, Page(s) 375–403

    Abstract: Diabetes is a disease which caused by socio-environmental and / or genetic factors. The negative effect of socio-environmental or lifestyle leads a susceptible individual to become a diabetic. On the one hand, social interaction wields a great deal of ... ...

    Abstract Diabetes is a disease which caused by socio-environmental and / or genetic factors. The negative effect of socio-environmental or lifestyle leads a susceptible individual to become a diabetic. On the one hand, social interaction wields a great deal of influence over lifestyle. On the other hand, genetic factors are the main cause of the birth diabetes genetic disorder. Considering these above mentioned factors. In the present paper, we study a discrete age continuous mathematical model that describes the dynamics of diabetics. We highlight the negative impact of socio-environmental on diabetic patients according to age groups. We also suggest an optimal strategy to implement the best campaigns of rising awareness that aims at protecting diabetic patients from the negative impact of a lifestyle that leads them to complications. In addition to psychological treatment and follow-up of diabetic patients with complications, an awareness campaign will also be carried out for people with potential diabetes that aims at educating them about the dangerous of diabetes and its complications. Pontryagin's maximum principle is used to characterize the optimal controls and the optimality system is solved by an iterative method. The numerical simulation is carried out using MATLAB.
    Language English
    Publishing date 2021-01-11
    Publishing country Germany
    Document type Journal Article
    ZDB-ID 2424171-4
    ISSN 1865-2085 ; 1598-5865
    ISSN (online) 1865-2085
    ISSN 1598-5865
    DOI 10.1007/s12190-020-01474-w
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  2. Article: Fractional optimal control problem for an age-structured model of COVID-19 transmission.

    Khajji, Bouchaib / Kouidere, Abdelfatah / Elhia, Mohamed / Balatif, Omar / Rachik, Mostafa

    Chaos, solitons, and fractals

    2021  Volume 143, Page(s) 110625

    Abstract: The aim of this study is to model the transmission of COVID-19 and investigate the impact of some control strategies on its spread. We propose an extension of the classical SEIR model, which takes into account the age structure and uses fractional-order ... ...

    Abstract The aim of this study is to model the transmission of COVID-19 and investigate the impact of some control strategies on its spread. We propose an extension of the classical SEIR model, which takes into account the age structure and uses fractional-order derivatives to have a more realistic model. For each age group
    Language English
    Publishing date 2021-01-02
    Publishing country England
    Document type Journal Article
    ZDB-ID 2003919-0
    ISSN 1873-2887 ; 0960-0779
    ISSN (online) 1873-2887
    ISSN 0960-0779
    DOI 10.1016/j.chaos.2020.110625
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  3. Article: A multi-region discrete time mathematical modeling of the dynamics of Covid-19 virus propagation using optimal control.

    Khajji, Bouchaib / Kada, Driss / Balatif, Omar / Rachik, Mostafa

    Journal of applied mathematics & computing

    2020  Volume 64, Issue 1-2, Page(s) 255–281

    Abstract: We study in this work a discrete mathematical model that describes the dynamics of transmission of the Corona virus between humans on the one hand and animals on the other hand in a region or in different regions. Also, we propose an optimal strategy to ... ...

    Abstract We study in this work a discrete mathematical model that describes the dynamics of transmission of the Corona virus between humans on the one hand and animals on the other hand in a region or in different regions. Also, we propose an optimal strategy to implement the optimal campaigns through the use of awareness campaigns in region j that aims at protecting individuals from being infected by the virus, security campaigns and health measures to prevent the movement of individuals from one region to another, encouraging the individuals to join quarantine centers and the disposal of infected animals. The aim is to maximize the number of individuals subjected to quarantine and trying to reduce the number of the infected individuals and the infected animals. Pontryagin's maximum principle in discrete time is used to characterize the optimal controls and the optimality system is solved by an iterative method. The numerical simulation is carried out using Matlab. The Incremental Cost-Effectiveness Ratio was calculated to investigate the cost-effectiveness of all possible combinations of the four control measures. Using cost-effectiveness analysis, we show that control of protecting susceptible individuals, preventing their contact with the infected individuals and encouraging the exposed individuals to join quarantine centers provides the most cost-effective strategy to control the disease.
    Keywords covid19
    Language English
    Publishing date 2020-05-08
    Publishing country Germany
    Document type Journal Article
    ZDB-ID 2424171-4
    ISSN 1865-2085 ; 1598-5865
    ISSN (online) 1865-2085
    ISSN 1598-5865
    DOI 10.1007/s12190-020-01354-3
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  4. Article ; Online: A multi-region discrete time mathematical modeling of the dynamics of Covid-19 virus propagation using optimal control

    Khajji, Bouchaib / Kada, Driss / Balatif, Omar / Rachik, Mostafa

    Journal of Applied Mathematics and Computing

    2020  Volume 64, Issue 1-2, Page(s) 255–281

    Keywords Applied Mathematics ; Computational Mathematics ; covid19
    Language English
    Publisher Springer Science and Business Media LLC
    Publishing country us
    Document type Article ; Online
    ZDB-ID 2424171-4
    ISSN 1865-2085 ; 1598-5865
    ISSN (online) 1865-2085
    ISSN 1598-5865
    DOI 10.1007/s12190-020-01354-3
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

    Full text online

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  5. Article: A multi-region discrete time mathematical modeling of the dynamics of Covid-19 virus propagation using optimal control

    Khajji, Bouchaib / Kada, Driss / Balatif, Omar / Rachik, Mostafa

    J Appl Math Comput

    Abstract: We study in this work a discrete mathematical model that describes the dynamics of transmission of the Corona virus between humans on the one hand and animals on the other hand in a region or in different regions. Also, we propose an optimal strategy to ... ...

    Abstract We study in this work a discrete mathematical model that describes the dynamics of transmission of the Corona virus between humans on the one hand and animals on the other hand in a region or in different regions. Also, we propose an optimal strategy to implement the optimal campaigns through the use of awareness campaigns in region j that aims at protecting individuals from being infected by the virus, security campaigns and health measures to prevent the movement of individuals from one region to another, encouraging the individuals to join quarantine centers and the disposal of infected animals. The aim is to maximize the number of individuals subjected to quarantine and trying to reduce the number of the infected individuals and the infected animals. Pontryagin's maximum principle in discrete time is used to characterize the optimal controls and the optimality system is solved by an iterative method. The numerical simulation is carried out using Matlab. The Incremental Cost-Effectiveness Ratio was calculated to investigate the cost-effectiveness of all possible combinations of the four control measures. Using cost-effectiveness analysis, we show that control of protecting susceptible individuals, preventing their contact with the infected individuals and encouraging the exposed individuals to join quarantine centers provides the most cost-effective strategy to control the disease.
    Keywords covid19
    Publisher WHO
    Document type Article
    Note WHO #Covidence: #209611
    Database COVID19

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  6. Article: A mathematical modeling with optimal control strategy of transmission of covid-19 pandemic virus

    Kouidere, Abdelfatah / Khajji, Bouchaib / Bhih, Amine El / Balatif, Omar / Rachik, Mostafa

    Commun. Math. Biol. Neurosci.

    Abstract: In this paper, we propose a mathematical modeling that describe the dynamics of transmission of the novel Coronavirus 2019 (COVID-19), between potential people and infected people without symptoms, and those infected people with symptoms and then people ... ...

    Abstract In this paper, we propose a mathematical modeling that describe the dynamics of transmission of the novel Coronavirus 2019 (COVID-19), between potential people and infected people without symptoms, and those infected people with symptoms and then people with serious complications, as well as those under health surveillance and quarantine, in addition to people who recovered from the virus. In addition, we propose an optimal strategy by carrying out awareness campaigns for citizens with practical measures to reduce the spread of the virus, and diagnosis and surveillance of airports and the quarantine of infected people. Pontryagin’s maximum principle is used to characterize the optimal controls, and the optimality system is solved by an iterative method. Finally, some numerical simulations are performed to verify the theoretical analysis using Matlab.
    Keywords covid19
    Publisher WHO
    Document type Article
    Note WHO #Covidence: #705887
    Database COVID19

    Kategorien

    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

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