In this research,we proposed a non-linear SIS model to study the effect of variable interaction rates and non-emigrating population of the human habitat on the spread of bacteria-infected diseases.It assumed that the ...In this research,we proposed a non-linear SIS model to study the effect of variable interaction rates and non-emigrating population of the human habitat on the spread of bacteria-infected diseases.It assumed that the growth of bacteria is logistic with an intrinsic growth rate is a linear function of infectives.In this model,we assume that contact rates between susceptibles and infectives as well as between susceptibles and bacteria depend on the density of the non-emigrating population and the total population of the habitat.The stability theory has been analyzed to analyzed to study the crucial role played by bacteria in the increased spread of an infectious disease.It is shown that as the density of non-emigrating population increases,the spread of an infectious disease increases.It is shown further that as the emigration increases,the spread of the disease decreases in both the cases of contact mentioned above rates,but this spread increases as these contact rates increase.It suggested that the control of bacteria in the human habitat is very useful to decrease the spread of an infectious disease.These results are confirmed by numerical simulation.展开更多
In this paper,the temperature distribution in the multi-layer of the skin is studied when the skin surface is subjected to most generalized boundary condition.Our skin model consists of three layers known as the epide...In this paper,the temperature distribution in the multi-layer of the skin is studied when the skin surface is subjected to most generalized boundary condition.Our skin model consists of three layers known as the epidermis,dermis,and subcutaneous layers.All layers of skin are assumed to be connected with point of interface condition and taking the barrier in between each of the two layers by symmetric flux condition and analyzing each layer separately.The classical Fourier and non-Fourier(DPL)models are extended to analyze the behavior of heat transfer in the multi-layer of the skin.The Laplace transform technique is used to derive analytical solutions for the multi-layer of skin models.The effects of the variability of different parameters such as relaxation time,layer thickness,and different types of boundary conditions on the behavior of temperature distribution in the multi-layer of skin are analyzed and discussed in detail.All the effects are shown graphically.It has been observed that during temperature distribution in the multi-layer of skin,the measurement of skin damage is less on the DPL model(rq>Tt)in comparison to the classical Fourier model.展开更多
基金Deanship of Scientific Research at Majmaah University for supporting this work under the Project No.R-2021-8.
文摘In this research,we proposed a non-linear SIS model to study the effect of variable interaction rates and non-emigrating population of the human habitat on the spread of bacteria-infected diseases.It assumed that the growth of bacteria is logistic with an intrinsic growth rate is a linear function of infectives.In this model,we assume that contact rates between susceptibles and infectives as well as between susceptibles and bacteria depend on the density of the non-emigrating population and the total population of the habitat.The stability theory has been analyzed to analyzed to study the crucial role played by bacteria in the increased spread of an infectious disease.It is shown that as the density of non-emigrating population increases,the spread of an infectious disease increases.It is shown further that as the emigration increases,the spread of the disease decreases in both the cases of contact mentioned above rates,but this spread increases as these contact rates increase.It suggested that the control of bacteria in the human habitat is very useful to decrease the spread of an infectious disease.These results are confirmed by numerical simulation.
文摘In this paper,the temperature distribution in the multi-layer of the skin is studied when the skin surface is subjected to most generalized boundary condition.Our skin model consists of three layers known as the epidermis,dermis,and subcutaneous layers.All layers of skin are assumed to be connected with point of interface condition and taking the barrier in between each of the two layers by symmetric flux condition and analyzing each layer separately.The classical Fourier and non-Fourier(DPL)models are extended to analyze the behavior of heat transfer in the multi-layer of the skin.The Laplace transform technique is used to derive analytical solutions for the multi-layer of skin models.The effects of the variability of different parameters such as relaxation time,layer thickness,and different types of boundary conditions on the behavior of temperature distribution in the multi-layer of skin are analyzed and discussed in detail.All the effects are shown graphically.It has been observed that during temperature distribution in the multi-layer of skin,the measurement of skin damage is less on the DPL model(rq>Tt)in comparison to the classical Fourier model.
