The investigation of radiation-absorption,chemical reaction,Hall and ion-slip impacts on unsteady MHD free convective laminar flow of an incompressible viscous,electrically conducting and heat generation/absorbing flu...The investigation of radiation-absorption,chemical reaction,Hall and ion-slip impacts on unsteady MHD free convective laminar flow of an incompressible viscous,electrically conducting and heat generation/absorbing fluid enclosed with a semi-infinite porous plate within a rotating frame has been premeditated.The plate is assumed to be moving with a constant velocity in the direction of fluid movement.A uniform transverse magnetic field is applied at right angles to the porous surface,which is absorbing the fluid with a suction velocity changing with time.The non-dimensional governing equations for present investigation are solved analytically making use of two term harmonic and non-harmonic functions.The graphical results of velocity,temperature and concentration distributions on the analytical solutions are displayed and discussed with reference to pertinent parameters.It is found that the velocity profiles decreased with an increasing in Hartmann number,rotation parameter,the Schmidt number,heat source parameter,while it increased due to an increase in permeability parameter,radiation-absorption parameter,Hall and ion slip parameters.However,the temperature profile is an increasing function of radiation-absorption parameter,whereas an increase in chemical reaction parameter,the Schmidt number Sc or frequency of oscillations decrease the temperature profile on cooling.Also,it is found that the concentration profile is decreased with an escalating in the Schmidt number or the chemical reaction parameter.展开更多
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...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.展开更多
We made an elaborate scrutiny on the Soret and Joule effects of MHD mixed convective flow of an incompressible and electrically conducting viscous fluid past an infinite vertical porous plate taking Hall effects into ...We made an elaborate scrutiny on the Soret and Joule effects of MHD mixed convective flow of an incompressible and electrically conducting viscous fluid past an infinite vertical porous plate taking Hall effects into account.Perturbation technique is used to solve the non-dimensional equations.The effects of the various non-dimensional parameters on velocity,temperature and concentration within the boundary layer are examined.Besides that,computational deliberations or discussions are also undertaken on the effects of the pertinent or significant parameters on the skin-friction coefficient and rates of heat and mass transfer in terms of the Nusselt and Sherwood numbers respectively.The concentration distribution increases with increase in Soret effect and decrease with increase in chemical reaction parameter.An increase in Prandtl number results to decrease the temperature distribution.Both the primary and secondary velocity components and temperature increases with increasing heat source parameter.Skin friction coefficient decreases with an increase in permeability parameter,whereas it shows reverse effect for thermal and mass Grashof numbers.Nusselt number increases with an increase in Prandtl number.Sherwood number reduces with increasing Soret number.展开更多
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 ...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-hostepathogen 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.展开更多
文摘The investigation of radiation-absorption,chemical reaction,Hall and ion-slip impacts on unsteady MHD free convective laminar flow of an incompressible viscous,electrically conducting and heat generation/absorbing fluid enclosed with a semi-infinite porous plate within a rotating frame has been premeditated.The plate is assumed to be moving with a constant velocity in the direction of fluid movement.A uniform transverse magnetic field is applied at right angles to the porous surface,which is absorbing the fluid with a suction velocity changing with time.The non-dimensional governing equations for present investigation are solved analytically making use of two term harmonic and non-harmonic functions.The graphical results of velocity,temperature and concentration distributions on the analytical solutions are displayed and discussed with reference to pertinent parameters.It is found that the velocity profiles decreased with an increasing in Hartmann number,rotation parameter,the Schmidt number,heat source parameter,while it increased due to an increase in permeability parameter,radiation-absorption parameter,Hall and ion slip parameters.However,the temperature profile is an increasing function of radiation-absorption parameter,whereas an increase in chemical reaction parameter,the Schmidt number Sc or frequency of oscillations decrease the temperature profile on cooling.Also,it is found that the concentration profile is decreased with an escalating in the Schmidt number or the chemical reaction parameter.
文摘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.
文摘We made an elaborate scrutiny on the Soret and Joule effects of MHD mixed convective flow of an incompressible and electrically conducting viscous fluid past an infinite vertical porous plate taking Hall effects into account.Perturbation technique is used to solve the non-dimensional equations.The effects of the various non-dimensional parameters on velocity,temperature and concentration within the boundary layer are examined.Besides that,computational deliberations or discussions are also undertaken on the effects of the pertinent or significant parameters on the skin-friction coefficient and rates of heat and mass transfer in terms of the Nusselt and Sherwood numbers respectively.The concentration distribution increases with increase in Soret effect and decrease with increase in chemical reaction parameter.An increase in Prandtl number results to decrease the temperature distribution.Both the primary and secondary velocity components and temperature increases with increasing heat source parameter.Skin friction coefficient decreases with an increase in permeability parameter,whereas it shows reverse effect for thermal and mass Grashof numbers.Nusselt number increases with an increase in Prandtl number.Sherwood number reduces with increasing Soret number.
文摘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-hostepathogen 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.
