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  1. Article ; Online: Mathematical modelling on diffusion and control of COVID-19.

    Veera Krishna, M

    Infectious Disease Modelling

    2020  Volume 5, Page(s) 588–597

    Abstract: In this paper, we develop a mathematical model for the spread and control of the coronavirus disease. An outbreak of COVID-19 has led to more than one million confirmed cases as of April ... ...

    Abstract In this paper, we develop a mathematical model for the spread and control of the coronavirus disease. An outbreak of COVID-19 has led to more than one million confirmed cases as of April 3rd
    Keywords covid19
    Language English
    Publishing date 2020-08-21
    Publishing country China
    Document type Journal Article
    ZDB-ID 3015225-2
    ISSN 2468-0427 ; 2468-2152
    ISSN (online) 2468-0427
    ISSN 2468-2152
    DOI 10.1016/j.idm.2020.08.009
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  2. Article ; Online: Mathematical modelling on diffusion and control of COVID–19

    Veera Krishna, M.

    Infectious Disease Modelling

    2020  Volume 5, Page(s) 588–597

    Keywords covid19
    Language English
    Publisher Elsevier BV
    Publishing country us
    Document type Article ; Online
    ZDB-ID 3015225-2
    ISSN 2468-0427 ; 2468-2152
    ISSN (online) 2468-0427
    ISSN 2468-2152
    DOI 10.1016/j.idm.2020.08.009
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  3. Article: Mathematical modelling on diffusion and control of COVID-19

    Veera Krishna, M

    Abstract: In this paper, we develop a mathematical model for the spread and control of the coronavirus disease. An outbreak of COVID-19 has led to more than one million confirmed cases as of April 3rd, 2020. Understanding the early spread dynamics of the infection ...

    Abstract In this paper, we develop a mathematical model for the spread and control of the coronavirus disease. An outbreak of COVID-19 has led to more than one million confirmed cases as of April 3rd, 2020. Understanding the early spread dynamics of the infection and evaluating the effectiveness of control measures is crucial for assessing the potential for sustained transmission to occur in new areas. Combining a mathematical model of severe COVID-19 spread with four datasets from within and outside of Wuhan, China; it is estimated how spread in Wuhan varied between January and February 2020. It is used these estimates to assess the potential for sustained human-to-human spread to occur in locations outside Wuhan if disease holders were introduced. It is combined SEIR framework model with data on cases of COVID-19 in China and International cases that originated in Wuhan to estimate how spread had varied over time during January and February 2020. Based on these estimates, it is calculated the probability that freshly introduced cases might produce outbreaks in other regions. Also, it is calculated approximately the median day by day basic reproduction number in Wuhan, refused from 2·45 (95% CI: 1·16-4·87) one week before travel restrictions were introduced on Jan 23rd, 2020, to 1.05 (0·42-2·40) one week after. Based on our estimates of, presumptuous SARS approximating disparity, it is computed that in locations with a similar spread potential to Wuhan in near the beginning of January, some time ago there are at least four independently set up cases, there is a more than fifty percent chance the infection will found within those inhabitants. COVID-19 spreading probably refused in Wuhan during delayed January 2020, corresponding with the prologue of voyage control channels. As more cases arrive in international locations with similar spread potential to Wuhan, before these organize measures, it is likely many chains of spread will fail to create initially but might lead to innovative outbreaks ultimately.
    Keywords covid19
    Publisher WHO
    Document type Article
    Note WHO #Covidence: #726533
    Database COVID19

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  4. Article ; Online: Mathematical modelling on diffusion and control of COVID–19

    M. Veera Krishna

    Infectious Disease Modelling, Vol 5, Iss , Pp 588-

    2020  Volume 597

    Abstract: In this paper, we develop a mathematical model for the spread and control of the coronavirus disease. An outbreak of COVID-19 has led to more than one million confirmed cases as of April 3rd, 2020. Understanding the early spread dynamics of the infection ...

    Abstract In this paper, we develop a mathematical model for the spread and control of the coronavirus disease. An outbreak of COVID-19 has led to more than one million confirmed cases as of April 3rd, 2020. Understanding the early spread dynamics of the infection and evaluating the effectiveness of control measures is crucial for assessing the potential for sustained transmission to occur in new areas. Combining a mathematical model of severe COVID-19 spread with four datasets from within and outside of Wuhan, China; it is estimated how spread in Wuhan varied between January and February 2020. It is used these estimates to assess the potential for sustained human-to-human spread to occur in locations outside Wuhan if disease holders were introduced. It is combined SEIR framework model with data on cases of COVID-19 in China and International cases that originated in Wuhan to estimate how spread had varied over time during January and February 2020. Based on these estimates, it is calculated the probability that freshly introduced cases might produce outbreaks in other regions. Also, it is calculated approximately the median day by day basic reproduction number in Wuhan, refused from 2·45 (95% CI: 1·16–4·87) one week before travel restrictions were introduced on Jan 23rd, 2020, to 1.05 (0·42–2·40) one week after. Based on our estimates of, presumptuous SARS approximating disparity, it is computed that in locations with a similar spread potential to Wuhan in near the beginning of January, some time ago there are at least four independently set up cases, there is a more than fifty percent chance the infection will found within those inhabitants. COVID-19 spreading probably refused in Wuhan during delayed January 2020, corresponding with the prologue of voyage control channels. As more cases arrive in international locations with similar spread potential to Wuhan, before these organize measures, it is likely many chains of spread will fail to create initially but might lead to innovative outbreaks ultimately.
    Keywords COVID-19 ; Coronavirus ; Mathematical modelling ; Diffusion ; Reproduction number ; Infectious and parasitic diseases ; RC109-216 ; covid19
    Language English
    Publishing date 2020-01-01T00:00:00Z
    Publisher KeAi
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  5. Article ; Online: Mathematical modelling on phase based transmissibility of Coronavirus.

    Krishna, M Veera / Prakash, J

    Infectious Disease Modelling

    2020  Volume 5, Page(s) 375–385

    Abstract: Mathematical and epidemiological simulation plays a pivotal role in predicting, anticipating, and controlling present and future epidemics. To better understand and model the dynamics of a specific infection, researchers need to consider the influence of ...

    Abstract Mathematical and epidemiological simulation plays a pivotal role in predicting, anticipating, and controlling present and future epidemics. To better understand and model the dynamics of a specific infection, researchers need to consider the influence of many variables ranging from micro-host-pathogen interactions to host-to-host encounters, and the prevailing cultural, social, economic, and local customs worldwide. As reported by the WHO, a novel corona virus (COVID-19) is identified as the etiological virus through Wuhan pneumonia for unknown etiology with Chinese administration on Jan 7, 2020. This virus is designated as an unsympathetic SARS-Cov-2 by International Commission for Taxonomy of Viruses on Feb 11, 2020. The main aim is to enlarge a phase based mathematical modelling to specify the transferability of this disease. It is developed Reservoir-individuals spreading set of connections modelling for imitating the prospective broadcast as of the infectivity foundation in the direction of the person infectivity. In view of the fact that, the Reservoir has set of connections to rigid to see the sights obviously as well as communal anxieties are concentrating on top of the spreading starting reservoir to individuals. The subsequent generation matrix methodology is endorsed towards compute the fundamental reproduction number (
    Keywords covid19
    Language English
    Publishing date 2020-06-30
    Publishing country China
    Document type Journal Article
    ZDB-ID 3015225-2
    ISSN 2468-0427 ; 2468-2152
    ISSN (online) 2468-0427
    ISSN 2468-2152
    DOI 10.1016/j.idm.2020.06.005
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  6. Article ; Online: Mathematical modelling on phase based transmissibility of Coronavirus

    M. Veera Krishna / J. Prakash

    Infectious Disease Modelling, Vol 5, Iss , Pp 375-

    2020  Volume 385

    Abstract: Mathematical and epidemiological simulation plays a pivotal role in predicting, anticipating, and controlling present and future epidemics. To better understand and model the dynamics of a specific infection, researchers need to consider the influence of ...

    Abstract Mathematical and epidemiological simulation plays a pivotal role in predicting, anticipating, and controlling present and future epidemics. To better understand and model the dynamics of a specific infection, researchers need to consider the influence of many variables ranging from micro-host–pathogen interactions to host-to-host encounters, and the prevailing cultural, social, economic, and local customs worldwide. As reported by the WHO, a novel corona virus (COVID-19) is identified as the etiological virus through Wuhan pneumonia for unknown etiology with Chinese administration on Jan 7, 2020. This virus is designated as an unsympathetic SARS-Cov-2 by International Commission for Taxonomy of Viruses on Feb 11, 2020. The main aim is to enlarge a phase based mathematical modelling to specify the transferability of this disease. It is developed Reservoir-individuals spreading set of connections modelling for imitating the prospective broadcast as of the infectivity foundation in the direction of the person infectivity. In view of the fact that, the Reservoir has set of connections to rigid to see the sights obviously as well as communal anxieties are concentrating on top of the spreading starting reservoir to individuals. The subsequent generation matrix methodology is endorsed towards compute the fundamental reproduction number (R0) through the RP modelling to measure the transferability by the COVID-19. The values of R0 are estimated from reservoir to human being as well as starting individual to individual, that is to say, the accepted quantity of less important diseases this consequence from presenting a solitary contaminated personality addicted to differently susceptible inhabitants. The present model demonstrated that the spreading of COVID-19 is superior to the Middle-East pulmonary infirmity during the Middle-East nationals, analogous to harsh sensitive pulmonary infirmity, but inferior than Middle-East pulmonary infirmity within the Republic of Korea. It can also extend this study to some other countries, including Saudi Arabia, Italy, and Germany etc. The COVID-19 pandemic has become the leading societal concern. The pandemic has shown that the public health concern is not only a medical problem, but also affects society as a whole; so, it has also become the leading scientific concern.
    Keywords COVID-19 ; Corona virus ; Phase based model ; Next generation matrix ; Reproduction number ; Virus spread ; Infectious and parasitic diseases ; RC109-216 ; covid19
    Language English
    Publishing date 2020-01-01T00:00:00Z
    Publisher KeAi
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  7. Article ; Online: Unsteady MHD third-grade fluid past an absorbent high-temperature shrinking sheet packed with silver nanoparticles and non-linear radiation

    M. Veera Krishna / N. Ameer Ahammad / Ebrahem A. Algehyne

    Journal of Taibah University for Science, Vol 16, Iss 1, Pp 585-

    2022  Volume 593

    Abstract: This investigation peruses the features of temperature and mass transport of the non-Newtonian third-order liquid over an absorbent convective temperature shrinking sheet. The sheet is packed with silver nanoparticles. The Buongiornos modelling uses a ... ...

    Abstract This investigation peruses the features of temperature and mass transport of the non-Newtonian third-order liquid over an absorbent convective temperature shrinking sheet. The sheet is packed with silver nanoparticles. The Buongiornos modelling uses a particular non-Newtonian third-order liquid with the Brownian movement and the thermophoresis consequences using the non-linear radiation. The non-linear partial differential equations are changed to the ordinary differential equations with similarity transformations. The changed system of equations is then resolved using the numerical Shooting method and the sixth-order Runge-Kutta’s method. The numerically obtained solutions of the velocity profiles, temperature distributions, and concentrations of nanoparticles are discussed graphically. Also, the non-Newtonian parameter reduced the velocity of the liquid, increased the temperature and the concentration profiles throughout the fluid. Ultimately, the qualified systematic analysis is built by the preceding study in restrictive cases and displaingy the best correlation.
    Keywords Nanofluid ; third-grade fluid ; magnetic field ; shooting technique ; Runge–Kutta method ; Science (General) ; Q1-390
    Subject code 532
    Language English
    Publishing date 2022-12-01T00:00:00Z
    Publisher Taylor & Francis Group
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  8. Article ; Online: Unsteady MHD third-grade fluid past an absorbent high-temperature shrinking sheet packed with silver nanoparticles and non-linear radiation

    Krishna, M. Veera / Ahammad, N. Ameer / Algehyne, Ebrahem A.

    Journal of Taibah University for Science. 2022 Dec. 31, v. 16, no. 1 p.585-593

    2022  

    Abstract: This investigation peruses the features of temperature and mass transport of the non-Newtonian third-order liquid over an absorbent convective temperature shrinking sheet. The sheet is packed with silver nanoparticles. The Buongiornos modelling uses a ... ...

    Abstract This investigation peruses the features of temperature and mass transport of the non-Newtonian third-order liquid over an absorbent convective temperature shrinking sheet. The sheet is packed with silver nanoparticles. The Buongiornos modelling uses a particular non-Newtonian third-order liquid with the Brownian movement and the thermophoresis consequences using the non-linear radiation. The non-linear partial differential equations are changed to the ordinary differential equations with similarity transformations. The changed system of equations is then resolved using the numerical Shooting method and the sixth-order Runge-Kutta’s method. The numerically obtained solutions of the velocity profiles, temperature distributions, and concentrations of nanoparticles are discussed graphically. Also, the non-Newtonian parameter reduced the velocity of the liquid, increased the temperature and the concentration profiles throughout the fluid. Ultimately, the qualified systematic analysis is built by the preceding study in restrictive cases and displaingy the best correlation.
    Keywords absorbents ; liquids ; mass transfer ; nanoparticles ; nanosilver ; temperature ; Nanofluid ; third-grade fluid ; magnetic field ; shooting technique ; Runge–Kutta method
    Language English
    Dates of publication 2022-1231
    Size p. 585-593.
    Publishing place Taylor & Francis
    Document type Article ; Online
    ZDB-ID 2834710-9
    ISSN 1658-3655
    ISSN 1658-3655
    DOI 10.1080/16583655.2022.2087396
    Database NAL-Catalogue (AGRICOLA)

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  9. Article: Mathematical modelling on phase based transmissibility of Coronavirus

    Krishna, M. Veera / Prakash, J.

    Infect. Dis. Modelling

    Abstract: Mathematical and epidemiological simulation plays a pivotal role in predicting, anticipating, and controlling present and future epidemics. To better understand and model the dynamics of a specific infection, researchers need to consider the influence of ...

    Abstract Mathematical and epidemiological simulation plays a pivotal role in predicting, anticipating, and controlling present and future epidemics. To better understand and model the dynamics of a specific infection, researchers need to consider the influence of many variables ranging from micro-host–pathogen interactions to host-to-host encounters, and the prevailing cultural, social, economic, and local customs worldwide. As reported by the WHO, a novel corona virus (COVID-19) is identified as the etiological virus through Wuhan pneumonia for unknown etiology with Chinese administration on Jan 7, 2020. This virus is designated as an unsympathetic SARS-Cov-2 by International Commission for Taxonomy of Viruses on Feb 11, 2020. The main aim is to enlarge a phase based mathematical modelling to specify the transferability of this disease. It is developed Reservoir-individuals spreading set of connections modelling for imitating the prospective broadcast as of the infectivity foundation in the direction of the person infectivity. In view of the fact that, the Reservoir has set of connections to rigid to see the sights obviously as well as communal anxieties are concentrating on top of the spreading starting reservoir to individuals. The subsequent generation matrix methodology is endorsed towards compute the fundamental reproduction number (R 0) through the RP modelling to measure the transferability by the COVID-19. The values of R 0are estimated from reservoir to human being as well as starting individual to individual, that is to say, the accepted quantity of less important diseases this consequence from presenting a solitary contaminated personality addicted to differently susceptible inhabitants. The present model demonstrated that the spreading of COVID-19 is superior to the Middle-East pulmonary infirmity during the Middle-East nationals, analogous to harsh sensitive pulmonary infirmity, but inferior than Middle-East pulmonary infirmity within the Republic of Korea. It can also extend this study to some other countries, including Saudi Arabia, Italy, and Germany etc. The COVID-19 pandemic has become the leading societal concern. The pandemic has shown that the public health concern is not only a medical problem, but also affects society as a whole; so, it has also become the leading scientific concern.
    Keywords covid19
    Publisher WHO
    Document type Article
    Note WHO #Covidence: #647931
    Database COVID19

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  10. Article ; Online: Run-Up Flow of a Maxwell Fluid through a Parallel Plate Channel

    Syed Yedulla Qadri / M. Veera Krishna

    American Journal of Computational Mathematics, Vol 03, Iss 04, Pp 297-

    2013  Volume 303

    Abstract: We consider the flow of an incompressible viscous Maxwell fluid between two parallel plates, initially induced by a constant pressure gradient. The pressure gradient is withdrawn and the upper plate moves with a uniform velocity while the lower plate ... ...

    Abstract We consider the flow of an incompressible viscous Maxwell fluid between two parallel plates, initially induced by a constant pressure gradient. The pressure gradient is withdrawn and the upper plate moves with a uniform velocity while the lower plate continues to be at rest. The arising flow is referred to as run - up flow. The unsteady governing equations are solved as initial value problem using Laplace transform technique. The expression for velocity, shear stresses on both plates and discharge are obtained. The behavior of the velocity, shear stresses and mass flux has been discussed in detail with respect to variations in different governing flow parameters and is presented through graphs. <?xml:namespace prefix = o />
    Keywords Run-Up Flow ; Maxwell’s Fluid ; Laplace Transforms ; Reynolds Number and Parallel Plate Channels ; Mathematics ; QA1-939 ; Science ; Q ; DOAJ:Mathematics ; DOAJ:Mathematics and Statistics
    Subject code 532
    Language English
    Publishing date 2013-11-01T00:00:00Z
    Publisher Scientific Research Publishing
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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