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  1. AU="Mishra, Bimal Kumar"
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  1. Article: Mathematical model, forecast and analysis on the spread of COVID-19.

    Mishra, Bimal Kumar / Keshri, Ajit Kumar / Saini, Dinesh Kumar / Ayesha, Syeda / Mishra, Binay Kumar / Rao, Yerra Shankar

    Chaos, solitons, and fractals

    2021  Volume 147, Page(s) 110995

    Abstract: Pandemic COVID-19 which has infected more than 35,027,546 people and death more than 1,034,837 people in 235 countries as on October 05, 2020 has created a chaos across the globe. In this paper, we develop a compartmental epidemic model to understand the ...

    Abstract Pandemic COVID-19 which has infected more than 35,027,546 people and death more than 1,034,837 people in 235 countries as on October 05, 2020 has created a chaos across the globe. In this paper, we develop a compartmental epidemic model to understand the spreading behaviour of the disease in human population with a special case of Bhilwara, a desert town in India where successful control measures TTT (tracking, testing and treatment) was adopted to curb the disease in the very early phase of the spread of the disease in India. Local and global asymptotic stability is established for endemic equilibrium. Extensive numerical simulations with real parametric values are performed to validate the analytical results. Trend analysis of fatality rate, infection rate, and impact of lockdown is performed for USA, European countries, Russia, Iran, China, Japan, S. Korea with a comparative assessment by India. Kruskal - Wallis test is performed to test the null hypothesis for infected cases during the four lockdown phases in India. It has been observed that there is a significant difference at both 95% and 99% confidence interval in the infected cases, recovered cases and the case fatality rate during all the four phases of the lockdown.
    Language English
    Publishing date 2021-04-27
    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.2021.110995
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  2. Article ; Online: Impact of Information based Classification on Network Epidemics.

    Mishra, Bimal Kumar / Haldar, Kaushik / Sinha, Durgesh Nandini

    Scientific reports

    2016  Volume 6, Page(s) 28289

    Abstract: Formulating mathematical models for accurate approximation of malicious propagation in a network is a difficult process because of our inherent lack of understanding of several underlying physical processes that intrinsically characterize the broader ... ...

    Abstract Formulating mathematical models for accurate approximation of malicious propagation in a network is a difficult process because of our inherent lack of understanding of several underlying physical processes that intrinsically characterize the broader picture. The aim of this paper is to understand the impact of available information in the control of malicious network epidemics. A 1-n-n-1 type differential epidemic model is proposed, where the differentiality allows a symptom based classification. This is the first such attempt to add such a classification into the existing epidemic framework. The model is incorporated into a five class system called the DifEpGoss architecture. Analysis reveals an epidemic threshold, based on which the long-term behavior of the system is analyzed. In this work three real network datasets with 22002, 22469 and 22607 undirected edges respectively, are used. The datasets show that classification based prevention given in the model can have a good role in containing network epidemics. Further simulation based experiments are used with a three category classification of attack and defense strengths, which allows us to consider 27 different possibilities. These experiments further corroborate the utility of the proposed model. The paper concludes with several interesting results.
    Language English
    Publishing date 2016-06-22
    Publishing country England
    Document type Journal Article
    ZDB-ID 2615211-3
    ISSN 2045-2322 ; 2045-2322
    ISSN (online) 2045-2322
    ISSN 2045-2322
    DOI 10.1038/srep28289
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  3. Article: A fuzzy EOQ model for deteriorating items with allowable shortage and inspection under the trade credit

    Jaggi, Chandra K / Mishra, Bimal Kumar / Panda, T. C

    Handbook of research on promoting business process improvement through inventory control techniques , p. 233-249

    2018  , Page(s) 233–249

    Author's details Chandra K. Jaggi, Bimal Kumar Mishra, T. C. Panda
    Language English
    Publisher IGI Global, Business Science Reference
    Publishing place Hershey PA, USA
    Document type Article
    ISBN 978-1-5225-3232-3 ; 1-5225-3232-3
    Database ECONomics Information System

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  4. Article: COVID-19 created chaos across the globe: Three novel quarantine epidemic models.

    Mishra, Bimal Kumar / Keshri, Ajit Kumar / Rao, Yerra Shankar / Mishra, Binay Kumar / Mahato, Buddhadeo / Ayesha, Syeda / Rukhaiyyar, Bansidhar Prasad / Saini, Dinesh Kumar / Singh, Aditya Kumar

    Chaos, solitons, and fractals

    2020  Volume 138, Page(s) 109928

    Abstract: The latest version of human coronavirus said to be COVID-19 came out as a sudden pandemic disease within human population and in the absence of vaccination and proper treatment till date, it daunting threats heavily to human lives, infecting more than 12, ...

    Abstract The latest version of human coronavirus said to be COVID-19 came out as a sudden pandemic disease within human population and in the absence of vaccination and proper treatment till date, it daunting threats heavily to human lives, infecting more than 12, 11, 214 people and death more than 67, 666 people in 208 countries across the globe as on April 06, 2020, which is highly alarming. When no treatment or vaccine is available till date and to avoid COVID-19 to be transmitted in the community, social distancing is the only way to prevent the disease, which is well taken into account in our novel epidemic models as a special compartment, that is, home isolation. Based on the transmitting behavior of COVID-19 in the human population, we develop three quarantine models of this pandemic taking into account the compartments: susceptible population, immigrant population, home isolation population, infectious population, hospital quarantine population, and recovered population. Local and global asymptotic stability is proved for all the three models. Extensive numerical simulations are performed to establish the analytical results with suitable examples. Our research reveals that home isolation and quarantine to hospitals are the two pivot force-control policies under the present situation when no treatment is available for this pandemic.
    Keywords covid19
    Language English
    Publishing date 2020-05-25
    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.2020.109928
    Database MEDical Literature Analysis and Retrieval System OnLINE

    Full text online

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    Order via subito

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  5. Article: COVID-19 created chaos across the globe: Three novel quarantine epidemic models

    Mishra, Bimal Kumar / Keshri, Ajit Kumar / Rao, Yerra Shankar / Mishra, Binay Kumar / Mahato, Buddhadeo / Ayesha, Syeda / Rukhaiyyar, Bansidhar Prasad / Saini, Dinesh Kumar / Singh, Aditya Kumar

    Chaos Solitons Fractals

    Abstract: The latest version of human coronavirus said to be COVID-19 came out as a sudden pandemic disease within human population and in the absence of vaccination and proper treatment till date, it daunting threats heavily to human lives, infecting more than 12, ...

    Abstract The latest version of human coronavirus said to be COVID-19 came out as a sudden pandemic disease within human population and in the absence of vaccination and proper treatment till date, it daunting threats heavily to human lives, infecting more than 12, 11, 214 people and death more than 67, 666 people in 208 countries across the globe as on April 06, 2020, which is highly alarming. When no treatment or vaccine is available till date and to avoid COVID-19 to be transmitted in the community, social distancing is the only way to prevent the disease, which is well taken into account in our novel epidemic models as a special compartment, that is, home isolation. Based on the transmitting behavior of COVID-19 in the human population, we develop three quarantine models of this pandemic taking into account the compartments: susceptible population, immigrant population, home isolation population, infectious population, hospital quarantine population, and recovered population. Local and global asymptotic stability is proved for all the three models. Extensive numerical simulations are performed to establish the analytical results with suitable examples. Our research reveals that home isolation and quarantine to hospitals are the two pivot force-control policies under the present situation when no treatment is available for this pandemic.
    Keywords covid19
    Publisher WHO
    Document type Article
    Note WHO #Covidence: #361255
    Database COVID19

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    Inter-library loan at ZB MED

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  6. Article ; Online: COVID-19 created chaos across the globe

    Mishra, Bimal Kumar / Keshri, Ajit Kumar / Rao, Yerra Shankar / Mishra, Binay Kumar / Mahato, Buddhadeo / Ayesha, Syeda / Rukhaiyyar, Bansidhar Prasad / Saini, Dinesh Kumar / Singh, Aditya Kumar

    Chaos, Solitons & Fractals

    Three novel quarantine epidemic models

    2020  Volume 138, Page(s) 109928

    Keywords General Mathematics ; covid19
    Language English
    Publisher Elsevier BV
    Publishing country us
    Document type Article ; Online
    ZDB-ID 2003919-0
    ISSN 1873-2887 ; 0960-0779
    ISSN (online) 1873-2887
    ISSN 0960-0779
    DOI 10.1016/j.chaos.2020.109928
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

    Full text online

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