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  1. Article: Global Dynamics of a Diffusive Two-Strain Epidemic Model with Non-Monotone Incidence Rate.

    Khatua, Anupam / Pal, Debprasad / Kar, Tapan Kumar

    Iranian journal of science and technology. Transaction A, Science

    2022  Volume 46, Issue 3, Page(s) 859–868

    Abstract: In this article, we investigate a diffusive two-strain epidemic model with non-monotone incidence rate and virus mutation. The positivity, existence and uniform boundedness of the solutions of the model system are studied. It is found that the system has ...

    Abstract In this article, we investigate a diffusive two-strain epidemic model with non-monotone incidence rate and virus mutation. The positivity, existence and uniform boundedness of the solutions of the model system are studied. It is found that the system has three equilibrium points, namely the infection-free equilibrium point, the strain-2 endemic equilibrium point and both the strain-1 and strain-2 endemic equilibrium points. The global asymptotic stability analysis of the diffusive model system near all the equilibrium points is carried out by constructing appropriate Lyapunov functional. It is found that the system has no strain-1 endemic equilibrium point possibly due to the virus mutation. So, in this type of diseases, the infection due to strain-1 cannot be persistent in the community.
    Language English
    Publishing date 2022-05-13
    Publishing country Iran
    Document type Journal Article
    ZDB-ID 2444103-X
    ISSN 1028-6276 ; 0360-1307
    ISSN 1028-6276 ; 0360-1307
    DOI 10.1007/s40995-022-01287-5
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  2. Article: The effectiveness of contact tracing in mitigating COVID-19 outbreak: A model-based analysis in the context of India.

    Kumar Das, Dhiraj / Khatua, Anupam / Kar, T K / Jana, Soovoojeet

    Applied mathematics and computation

    2021  Volume 404, Page(s) 126207

    Abstract: The ongoing pandemic situation due to COVID-19 originated from the Wuhan city, China affects the world in an unprecedented scale. Unavailability of totally effective vaccination and proper treatment regimen forces to employ a non-pharmaceutical way of ... ...

    Abstract The ongoing pandemic situation due to COVID-19 originated from the Wuhan city, China affects the world in an unprecedented scale. Unavailability of totally effective vaccination and proper treatment regimen forces to employ a non-pharmaceutical way of disease mitigation. The world is in desperate demand of useful control intervention to combat the deadly virus. This manuscript introduces a new mathematical model that addresses two different diagnosis efforts and isolation of confirmed cases. The basic reproductive number,
    Language English
    Publishing date 2021-03-19
    Publishing country United States
    Document type Journal Article
    ZDB-ID 1465428-3
    ISSN 0096-3003
    ISSN 0096-3003
    DOI 10.1016/j.amc.2021.126207
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  3. Article: A fuzzy rule-based model to assess the effects of global warming, pollution and harvesting on the production of Hilsa fishes

    Khatua, Anupam / Jana, Soovoojeet / Kar, Tapan Kumar

    Ecological informatics. 2020 May, v. 57

    2020  

    Abstract: In South Asian countries, Tenualosa ilisha, well known as Hilsa, is considered as one of the most economically important fish species. Production of Hilsa fishes depends on many factors including global warming, water pollution and harvesting. This ... ...

    Abstract In South Asian countries, Tenualosa ilisha, well known as Hilsa, is considered as one of the most economically important fish species. Production of Hilsa fishes depends on many factors including global warming, water pollution and harvesting. This article proposes a new mathematical model using fuzzy inferences to investigate the impacts of global warming, water pollution and harvesting of juvenile fishes on the production of mature Hilsa fishes. Mamdani inference method has been applied for the fuzzy rule-based model. The model is executed by using the Fuzzy Logic Toolbox of MATLAB.
    Keywords Hilsa ; Tenualosa ilisha ; fish ; fuzzy logic ; juveniles ; water pollution
    Language English
    Dates of publication 2020-05
    Publishing place Elsevier B.V.
    Document type Article
    ZDB-ID 2212016-6
    ISSN 1878-0512 ; 1574-9541
    ISSN (online) 1878-0512
    ISSN 1574-9541
    DOI 10.1016/j.ecoinf.2020.101070
    Database NAL-Catalogue (AGRICOLA)

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  4. Article ; Online: Modeling and control of COVID-19: A short-term forecasting in the context of India.

    Mandal, Manotosh / Jana, Soovoojeet / Khatua, Anupam / Kar, T K

    Chaos (Woodbury, N.Y.)

    2020  Volume 30, Issue 11, Page(s) 113119

    Abstract: The coronavirus disease 2019 (COVID-19) outbreak, due to SARS-CoV-2 (severe acute respiratory syndrome coronavirus 2), originated in Wuhan, China and is now a global pandemic. The unavailability of vaccines, delays in diagnosis of the disease, and lack ... ...

    Abstract The coronavirus disease 2019 (COVID-19) outbreak, due to SARS-CoV-2 (severe acute respiratory syndrome coronavirus 2), originated in Wuhan, China and is now a global pandemic. The unavailability of vaccines, delays in diagnosis of the disease, and lack of proper treatment resources are the leading causes of the rapid spread of COVID-19. The world is now facing a rapid loss of human lives and socioeconomic status. As a mathematical model can provide some real pictures of the disease spread, enabling better prevention measures. In this study, we propose and analyze a mathematical model to describe the COVID-19 pandemic. We have derived the threshold parameter basic reproduction number, and a detailed sensitivity analysis of this most crucial threshold parameter has been performed to determine the most sensitive indices. Finally, the model is applied to describe COVID-19 scenarios in India, the second-largest populated country in the world, and some of its vulnerable states. We also have short-term forecasting of COVID-19, and we have observed that controlling only one model parameter can significantly reduce the disease's vulnerability.
    MeSH term(s) COVID-19/epidemiology ; COVID-19/prevention & control ; COVID-19/transmission ; Disease Susceptibility/epidemiology ; Humans ; India/epidemiology ; Models, Theoretical ; Pandemics/prevention & control ; Quarantine/legislation & jurisprudence ; Quarantine/methods ; Quarantine/statistics & numerical data ; SARS-CoV-2
    Language English
    Publishing date 2020-11-27
    Publishing country United States
    Document type Journal Article
    ZDB-ID 1472677-4
    ISSN 1089-7682 ; 1054-1500
    ISSN (online) 1089-7682
    ISSN 1054-1500
    DOI 10.1063/5.0015330
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  5. Article ; Online: Modeling and control of COVID-19

    Mandal, Manotosh / Jana, Soovoojeet / Khatua, Anupam / Kar, T. K.

    Chaos: An Interdisciplinary Journal of Nonlinear Science

    A short-term forecasting in the context of India

    2020  Volume 30, Issue 11, Page(s) 113119

    Keywords Mathematical Physics ; General Physics and Astronomy ; Applied Mathematics ; Statistical and Nonlinear Physics ; covid19
    Language English
    Publisher AIP Publishing
    Publishing country us
    Document type Article ; Online
    ZDB-ID 1472677-4
    ISSN 1089-7682 ; 1054-1500
    ISSN (online) 1089-7682
    ISSN 1054-1500
    DOI 10.1063/5.0015330
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  6. Article ; Online: Optical temperature sensing by tuning photoluminescence in a wide (visible to near infrared) wavelength range in a Eu

    De, Arnab / Mishra, Anupam / Khatua, Dipak Kumar / Dwij, Vivek / Sathe, Vasant / Jena, Satyam / Ranjan, Rajeev

    Optics letters

    2021  Volume 47, Issue 3, Page(s) 489–492

    Abstract: The prevalent material design principles for optical thermometry primarily rely on thermally driven changes in the relative intensities of the thermally coupled levels (TCLs) of rare-earth-doped phosphor materials, where the maximum achievable ... ...

    Abstract The prevalent material design principles for optical thermometry primarily rely on thermally driven changes in the relative intensities of the thermally coupled levels (TCLs) of rare-earth-doped phosphor materials, where the maximum achievable sensitivity is limited by the energy gap between the TCLs. In this work, a new, to the best of our knowledge, approach to thermometric material design is proposed, which is based on temperature tuning of PL emission from the visible to the NIR region. We demonstrate a model ferroelectric phosphor, Eu
    Language English
    Publishing date 2021-08-09
    Publishing country United States
    Document type Journal Article
    ISSN 1539-4794
    ISSN (online) 1539-4794
    DOI 10.1364/OL.441377
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  7. Article: Impact of human mobility on the transmission dynamics of infectious diseases.

    Khatua, Anupam / Kar, Tapan Kumar / Nandi, Swapan Kumar / Jana, Soovoojeet / Kang, Yun

    Energy, ecology & environment

    2020  Volume 5, Issue 5, Page(s) 389–406

    Abstract: Spatial heterogeneity is an important aspect to be studied in infectious disease models. It takes two forms: one is local, namely diffusion in space, and other is related to travel. With the advancement of transportation system, it is possible for ... ...

    Abstract Spatial heterogeneity is an important aspect to be studied in infectious disease models. It takes two forms: one is local, namely diffusion in space, and other is related to travel. With the advancement of transportation system, it is possible for diseases to move from one place to an entirely separate place very quickly. In a developing country like India, the mass movement of large numbers of individuals creates the possibility of spread of common infectious diseases. This has led to the study of infectious disease model to describe the infection during transport. An SIRS-type epidemic model is formulated to illustrate the dynamics of such infectious disease propagation between two cities due to population dispersal. The most important threshold parameter, namely the basic reproduction number, is derived, and the possibility of existence of backward bifurcation is examined, as the existence of backward bifurcation is very unsettling for disease control and it is vital to know from modeling analysis when it can occur. It is shown that dispersal of populations would make the disease control difficult in comparison with nondispersal case. Optimal vaccination and treatment controls are determined. Further to find the best cost-effective strategy, cost-effectiveness analysis is also performed. Though it is not a case study, simulation work suggests that the proposed model can also be used in studying the SARS epidemic in Hong Kong, 2003.
    Keywords covid19
    Language English
    Publishing date 2020-05-22
    Publishing country Netherlands
    Document type Journal Article
    ZDB-ID 2846872-7
    ISSN 2363-8338 ; 2363-7692
    ISSN (online) 2363-8338
    ISSN 2363-7692
    DOI 10.1007/s40974-020-00164-4
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  8. Article: A model based study on the dynamics of COVID-19: Prediction and control.

    Mandal, Manotosh / Jana, Soovoojeet / Nandi, Swapan Kumar / Khatua, Anupam / Adak, Sayani / Kar, T K

    Chaos, solitons, and fractals

    2020  Volume 136, Page(s) 109889

    Abstract: As there is no vaccination and proper medicine for treatment, the recent pandemic caused by COVID-19 has drawn attention to the strategies of quarantine and other governmental measures, like lockdown, media coverage on social isolation, and improvement ... ...

    Abstract As there is no vaccination and proper medicine for treatment, the recent pandemic caused by COVID-19 has drawn attention to the strategies of quarantine and other governmental measures, like lockdown, media coverage on social isolation, and improvement of public hygiene, etc to control the disease. The mathematical model can help when these intervention measures are the best strategies for disease control as well as how they might affect the disease dynamics. Motivated by this, in this article, we have formulated a mathematical model introducing a quarantine class and governmental intervention measures to mitigate disease transmission. We study a thorough dynamical behavior of the model in terms of the basic reproduction number. Further, we perform the sensitivity analysis of the essential reproduction number and found that reducing the contact of exposed and susceptible humans is the most critical factor in achieving disease control. To lessen the infected individuals as well as to minimize the cost of implementing government control measures, we formulate an optimal control problem, and optimal control is determined. Finally, we forecast a short-term trend of COVID-19 for the three highly affected states, Maharashtra, Delhi, and Tamil Nadu, in India, and it suggests that the first two states need further monitoring of control measures to reduce the contact of exposed and susceptible humans.
    Keywords covid19
    Language English
    Publishing date 2020-05-13
    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.2020.109889
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  9. Article ; Online: A Dynamic Optimal Control Model for SARS-CoV-2 in India

    Khatua, Debnarayan / De, Anupam / Kar, Samarjit / Samanta, Eshan / Mandal, Santi M.

    SSRN Electronic Journal ; ISSN 1556-5068

    2020  

    Keywords covid19
    Language English
    Publisher Elsevier BV
    Publishing country us
    Document type Article ; Online
    DOI 10.2139/ssrn.3597498
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  10. Article ; Online: A model based study on the dynamics of COVID-19

    Mandal, Manotosh / Jana, Soovoojeet / Nandi, Swapan Kumar / Khatua, Anupam / Adak, Sayani / Kar, T.K.

    Chaos, Solitons & Fractals

    Prediction and control

    2020  Volume 136, Page(s) 109889

    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.2020.109889
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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