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Mathematical model of zika virus dynamics with vector control and sensitivity analysis

Infectious Disease Modelling 2020年第1期5卷 23-41页

作者： Sudhanshu Kumar Biswas Uttam Ghosh susmita sarkar Department of Mathematics Sripat Singh CollegeMurshidabadWest BengalIndia Department of Applied Mathematics University of CalcuttaKolkataIndia

In this paper,we have developed and analyzed a deterministic Zika model considering both vector and sexual transmission route with the effect of human awareness and vector control in the absence of disease induce *** formulate the model,we assume that the Zika virus is being first transmitted to human by mosquito bite,and then it is being transmitted to his or her sexual *** system contains at most three equilibrium points among them one is the disease free and other two are endemic equilibrium points,exists under certain *** theoretical analysis shows that the diseases-free equilibrium is locally and globally asymptotically stable if the basic reproduction number is less than *** we have established that endemic equilibrium point which is locally asymptotically stable if the basic reproduction number is greater than *** system exhibits backward bifurcation when the transmission probability per biting of susceptible mosquito with infected humans crosses the critical *** estimate the model parameters and validate the model by fitting the model with the reported Zika infected human data from 1 to 36 week of 2016 Zika outbreak in ***,using the normalised forward sensitivity index method we have established that the model parameter mosquito biting rate,recruitment rate of mosquito,transmission probability per biting of Susceptible(infected)humans with infected(susceptible)mosquito,rate of awareness in host population,recovery rates of infected human are most sensitive parameters of the considered Zika ***,some conclusions are given to control the spreading of the Zika disease.

关键词： Zika virus Vector transmission Sexual transmission Basic reproduction number Stability analysis Backward bifurcation Sensitivity analysis

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Effect of Electron and/or Ion Nonthermality on Dust Acoustic Wave Propagation in a Complex Plasma in Presence of Positively Charged Dust Grains Generated by Secondary Electron Emission Process

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Journal of Modern Physics 2016年第1期7卷 74-86页

作者： susmita sarkar Subrata Bhakta Department of Applied Mathematics University of Calcutta Kolkata India Department of Mathematics S.A. Jaipuria College Kolkata India

In this paper we have developed a model to study the role of both electron and ion nonthermalities on dust acoustic wave propagation in a complex plasma in presence of positively charged dust grains. Secondary electron emission from dust grains has been considered as the source of positive dust charging. As secondary emission current depends on the flux of primary electrons, nonthermality of primary electrons changes the expression of secondary emission current from that of earlier work where primary electrons were thermal. Expression of nonthermal electron current flowing to the positively charged dust grains and consequently the expression of secondary electron current flowing out of the dust grains have been first time calculated in this paper, whereas the expression for nonthermal ion current flowing to the positively charged dust grains is present in existing literature. Dispersion relation of dust acoustic wave has been derived. From this dispersion relation real frequency and growth rate of the wave have been calculated. Results have been plotted for different strength of nonthermalities of electrons and ions.

关键词： Complex Plasma Nonthermality Positive Dust Secondary Electron Emission

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Ion Nonthermality Induced Nonlinear Dust Acoustic Wave Propagation in a Complex Plasma in Presence of Weak Secondary Electron Emission from Dust Grains

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Journal of Modern Physics 2018年第5期9卷 961-975页

作者： Subrata Bhakta susmita sarkar Department of Mathematics S. A. Jaipuria College Kolkata India Department of Applied Mathematics University of Calcutta Kolkata India

In this paper we have investigated the effect of ion nonthermality on nonlinear dust acoustic wave propagation in a complex plasma in presence of weak secondary electron emission from dust grains. Equilibrium dust charge in this case is negative. Dusty plasma under our consideration consists of inertialess nonthermal ions, Boltzman distributed primary and secondary electrons and negatively charged inertial dust grains. Both adiabatic and nonadiabatic dust charge variations have been taken into account. Our analysis shows that in case of adiabatic dust charge variation, at a fixed non-zero ion nonthermality increasing secondary electron emission decreases amplitude and increases width of the rarefied dust acoustic soliton whereas for a fixed secondary electron yield increasing ion nonthermality increases amplitude and decreases width of such rarefied dust acoustic soliton. Thus shape of the soliton may be retained if strength of both the secondary electron yield and the ion nonthermality are increased. Nonadiabatic dust charge variation shows that, at fixed non-zero ion nonthermality, increasing secondary electron emission suppresses oscillation of oscillatory dust acoustic shock at weak nonadiabaticity and pronounces monotonicity of monotonic dust acoustic shock at strong nonadiabaticity. On the other hand at a fixed value of the secondary electron yield, increasing ion nonthermality enhances oscillation of oscillatory dust acoustic shock at weak nonadiabaticity and reduces monotonicity of monotonic dust acoustic shock at strong nonadiabaticity. Thus nature of dust acoustic shock may also remain unchanged if both secondary electron yield and ion nonthermality are increased.

关键词： Complex Plasma Ion Nonthermality Weak Secondary Electron Emission Adiabaticity and Nonadiabaticity

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Fractional Weierstrass Function by Application of Jumarie Fractional Trigonometric Functions and Its Analysis

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Advances in Pure Mathematics 2015年第12期5卷 717-732页

作者： Uttam Ghosh susmita sarkar Shantanu Das Department of Mathematics Nabadwip Vidyasagar CollegeNabadwipIndia Department of Applied Mathematics University of CalcuttaKolkataIndia Reactor Control Systems Design Section E&I GroupBARCMumbaiIndia

The classical example of no-where differentiable but everywhere continuous function is Weierstrass function. In this paper we have defined fractional order Weierstrass function in terms of Jumarie fractional trigonometric functions. The H?lder exponent and Box dimension of this new function have been evaluated here. It has been established that the values of H?lder exponent and Box dimension of this fractional order Weierstrass function are the same as in the original Weierstrass function. This new development in generalizing the classical Weierstrass function by use of fractional trigonometric function analysis and fractional derivative of fractional Weierstrass function by Jumarie fractional derivative, establishes that roughness indices are invariant to this generalization.

关键词： Holder Exponent Fractional Weierstrass Function Box Dimension Jumarie Fractional Derivative Jumarie Fractional Trigonometric Function

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Study of the Characteristics of Dust Acoustic Solitary Waves and Dust Acoustic Shock Waves in Electron Free Dusty Space Plasma

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Journal of Modern Physics 2018年第5期9卷 948-960页

作者： Raicharan Denra Samit Paul susmita sarkar Department of Applied Mathematics University of Calcutta Kolkata India

A theoretical investigation has been done for the study of dust acoustic solitary waves and dust acoustic shock waves propagating in an unmagnetized, collisionless Lorentzian dusty plasma considering adiabatic and non-adiabatic dust charge variation. Plasma under consideration is composed of inertialess Lorentzian positive and negative ions along with inertial positively charged dust grains. Such dust grains are charged by the flow of positive ion and negative ion current over the grain surface. Adiabatic grain charge variation shows the existence of compressive soliton whose amplitude decreases and width increases with increasing number of suprathermal particles. Non-adiabatic dust charge variation is concerned with the propagation of monotonic dust acoustic shock waves which do not loose monotonicity even when a number of suprathermal particles are very large.

关键词： Dust Acoustic Soliton Dust Acoustic Shock Kappa Distribution Dusty Space Plasma Positive Dust Charge

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Ankol plant(Alangium salvifolium)-The treasure trove of bioactives and medicinal potential

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Food Bioscience 2023年第1期51卷 14-29页

作者： susmita Ghosh Tanmay sarkar Runu Chakraborty Department of Food Technology and Biochemical Engineering Jadavpur UniversityKolkata700032India Department of Food Processing Technology Malda PolytechnicWest Bengal State Council of Technical EducationGovt.of West BengalMalda732102India

The food industry is vigorously searching for bioactive compounds with therapeutic potential that are derived from unexplored natural *** plant(Alangium salvifolium)is an underutilized small deciduous shrub that reaches a height of 10 m and is underutilized as a culinary *** can be found largely in the plains and lower mountain regions throughout India and elsewhere in East Africa to China,New Guinea,Indonesia,and *** plant is a vital source of high value-added ingredients,including anthocyanin and flavonoid pigments,alkaloid,tannin,and phenols that can be of great interest to the food industry as functional colorants and *** present review highlights the potential of Ankol plant(***)as valuable source of bioactive compounds for the development of functional *** is an important source of structurally varied bioactive compounds with distinct anti-diabetic,anti-cancer,anti-spasmodic,anti-inflammatory,analgesic,anti-arthritic,anti-protozoal,anti-hypertensive and cardio-protective *** results of molecular tests indicate the presence of numerous novel phytochemicals and biochemical substances,paving the way for future scientific discoveries for various aspects.

关键词： Ankol plant Underutilized plant Bioactives Health benefits Bioprospecting

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Underutilized plant sources: A hidden treasure of natural colors

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Food Bioscience 2023年第2期52卷 52-65页

Pigments,which are naturally found in a variety of fruits and are categorized as natural dyes,are compounds that impart color to a variety of products in the food *** colorants are being used in the food industry to broaden the color *** and long-term use of underutilized crops(also known as minor or neglected)are critical for dietary diversification as well as fulfilling the nutritional needs of an ever-increasing human *** recent years,the potential for underutilized crops as an emerging source of natural colorants has gained traction in the scientific *** predominant factors behind the exploration of unconventional plants are sustainable production,local availability,technological feasibility,cultural importance,specialty food production,and new fundamental *** is an urgent need to uncover and explore underutilized plants in the changing world where unfavorable climatic and human conditions endanger natural vegetation around the *** have been using plant-based pigments since ancient *** vegetal resources and the re-discovery of underutilized plants should be prioritized in the hunt for important natural *** review demonstrates the potential of this underutilized natural resource to extract promising natural colorants,which can be utilized in the food industry in the future.A scientific approach as well as research regarding the investigation,utilization,the discovery of new plant species having valuable natural pigments,their actions safety,and nutritional properties,is still needed around the world.

关键词： Underutilized plants Neglected plants Natural pigments Food colorants Food safety

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