Shyam Sundar

• Ph. D.
• Professor at Pranveer Singh Institute of Technology, Kanpur

Recently, the urge for renewable energy technologies has risen drastically as it emerges as a solution to severe environmental concerns such as global climate change, biodiversity loss, widespread pollution, and depletion of non-renewable resources. However, non-renewable resources serve as the backbone of global industrialization as they provide t...

Nowadays, social media advertisements have gained a considerable wide reach in the marketplace. They have become a significant medium for disseminating necessary information for the diffusion of a new product or an innovation. In this paper, a non-linear mathematical model is proposed and analyzed to study the impact of social media advertisements...

Intensifying heat waves, exacerbated by rise in carbon dioxide (CO\({_2}\)) emissions, pose severe threats to global human health. Therefore, it becomes imperative to conduct analytical research on the control mechanisms that help mitigate the intensity of heat waves. This manuscript introduces a mathematical model to analyse the efficacy of mitiga...

In areas where hot gases and nanoparticulate materials are released uncontrollably from pollutants generating sources which are human population density dependent, the rainfall is significantly affected. When these hot gases and nanoparticulate materials mix with clouds, the cloud droplets evaporate, causing no rain or less intense rain. For increa...

In this article, a nonlinear mathematical model is proposed and analyzed to study the spread of coronavirus disease (COVID-19) and its control. Due to sudden emergence of a peculiar kind of infection, no vaccines were available, and therefore, the nonpharmaceutical interventions such as lockdown, isolation, and hospitalization were imposed to stop...

A nonlinear mathematical model is proposed and analyzed to study the effect of mitigation options on the control of methane emissions in the atmosphere caused by livestock and human populations so as to reduce global warming. Livestock population is one of the main agricultural sources of greenhouse gases in the world. It is assumed that the atmosp...

The effect of malicious objects on computer network system has been a burning issue during the last several years. It is well known that malicious objects spread very fast through a susceptible network causing damage to nodes and corrupt the files. Thus, the control of malicious objects is crucial for the efficient working of computer network syste...

The survival of human population is adversely affected by the global warming due to increasing temperature of earth surface caused by emissions of various gases (such as carbon dioxide, methane, etc.) and particulate matters from vehicles in the traffic. These gases, called greenhouse gases, present in the atmosphere above a certain threshold resul...

The emission of traffic pollutants such as sulphur dioxide, carbon monoxide, nitrous oxide and particulate matters in the atmosphere of a city affecting human population is one of the main concerns and needs attention in the present scenario. The removal of these pollutants affecting human population adversely is, therefore, very much desirable. In...

Atmospheric methane, emitted from agriculture sector such as production of rice paddies and farming of livestock populations, is one of the important factors responsible for increasing the average atmospheric temperature leading to global warming. It is, therefore, crucial to comprehend the dynamics of methane emission and its effect on global warm...

In this paper, a nonlinear mathematical model is proposed and analyzed to study the role of cumulative environmental degradation on the spread of bacterial diseases. In the modeling process, it is assumed that the disease is not only transmitted directly from the infective population to susceptible population but also indirectly by the bacteria pre...

Global warming is a major problem of twenty-first century requiring effective measures to control it. The present study deals with the abatement of carbon dioxide (an important global warming gas) from the atmosphere using greenbelt plantation and seaweed cultivation. The carbon dioxide emission into the atmosphere is assumed to be dependent on nat...

Today unemployment has become a global phenomenon which may be instrumental in forcing unemployed persons to earn their livelihood in an illegal manner resulting in a crime. It is possible that unemployed individuals may become more prone to develop a tendency of committing a crime when they come in contact with persons involved in criminal activit...

A nonlinear mathematical model is proposed and analyzed to evaluate the impact of awareness programs due to media campaign on mitigation of carbon dioxide emitted from automobiles. Since human activities, increasing demand and excessive use of automobiles have increased the concentration of carbon dioxide in the atmosphere accelerating the global w...

Global warming threatens our environment as well as basic human needs. In the present scenario, increasing demand and excessive use of automobiles have increased the level of carbon dioxide emission in the environment, providing a significant contribution to increase the global warming. This paper deals with the modeling of the effect of automobile...

Scavenging of ground level dust pollution from the near earth atmosphere has been a challenging problem, causing various undesirable consequences to human beings and their ecosystem. Water sprays and plant biomass in a greenbelt can be very effective mechanisms for the mitigation of ground level dust pollution. In the present paper, a nonlinear mat...

It is well known that rapid growth of population and population augmented industrialization has become a horrible threat for our environment causing the decline of forestry resources. We propose a mathematical model to study the effect of population and population density dependent industrialization on forestry resources. It is assumed that the ind...

It is well known that rapid growth of population and population augmented industrialization has become a horrible threat for our environment causing the decline of forestry resources. We propose a mathematical model to study the effect of population and population density dependent industrialization on forestry resources. It is assumed that the ind...

The objective of this work is to study effect of environmental tax on emitters to attain a pollution free environment. In this paper, an attempt has been made to study the effect of environmental tax to control carbon dioxide (a global warming gas) concentration in the atmosphere using a nonlinear mathematical model. It is assumed that the environm...

The objective of this work is to study effect of environmental tax on emitters to attain a pollution free environment. In this paper, an attempt has been made to study the effect of environmental tax to control carbon dioxide (a global warming gas) concentration in the atmosphere using a nonlinear mathematical model. It is assumed that the environm...

In this paper, a nonlinear dynamical model is proposed and analyzed to study the survival of biological species in a polluted environment considering the effect of environmental tax which can be used further to improve environmental quality. The environmental tax is imposed to control the emission of pollutants/toxicants only when the equilibrium c...

The temperature of Earth’s surface is increasing over the past few years due to emission of global warming gases such as CO2, CH4 and NOx from industries, power plants, etc., leading to several adverse effects on human and his environment. Therefore, the question of their removal/reduction from the atmosphere is very important. In this paper, a non...

In this paper, a problem is discussed for the competition in n-species aphid population for a limited resource and their limiting behavior as time approaches to infinity. Aphids are among the most conspicuous and important pests in green houses and crops. It is assumed that aphids excrete honeydew and cover an area int(0,t)Pr(s)ds by it’s saliva at...

In this paper, a nonlinear mathematical model is proposed and analysed to study the effect of toxicant on plant biomass with time delay. Plants are affected by toxicants released into the atmosphere from different sources such as industries, vehicular exhausts, etc. We assume that toxicant uptaken by plant biomass is converted into intermediate tox...

In this paper, a six-dimensional nonlinear mathematical model is proposed to study the effect of the density of cloud droplets (formed due to the presence of vapors in the atmosphere) on the removal of pollutants, both gaseous and particulate, from the atmosphere. We assume that there exist six nonlinearly interacting phases in the atmosphere, i.e....

We propose non-linear models to study the feasibility of removing CO2 from the atmosphere by introducing some external species such as liquid droplets and particulate matters in the atmosphere, which may react with this gas and get it removed by gravity. Further, this gas can also be removed by photosynthesis process upon using plantation of leafy...

It is well known that the emissions of hot gases from various power stations and other industrial sources in the regional atmosphere cause decrease in rainfall around these complexes. To overcome this shortage, one method is to introduce artificially conducive aerosol particles in the atmosphere using aeroplane to increase rainfall. To prove the fe...

A nonlinear model is proposed and analysed to study the effect of intermediate to xic product on the survival of a resource dependent species in a polluted environment. It is assumed that when resource bio mass uptakes pollutants/toxicants, a liquid (sap) present in the body of b io mass reacts with such to xicants and as such intermed iate to xic...

The present work gives us an idea about productivity of fresh water prawns of Ramgarh Tal. Ramgarh Tal is a huge and natural lake spread in 1700 acres in the south east of Gorakhpur city in U.P., India. Ramgarh Tal is perennial fishes and prawns productivity unit. Five species belonging to different families of prawns were collected from this lake....

Fertility is a complex phenomenon affected by a number of social, behavioural and biological factors. For a married women is deemed to be susceptible to conception and time to conception is fecundity which may be depend on age, contraception use, etc. In this paper, an attempt has been made to study the relationship between contraceptive uses and f...

In this paper, a nonlinear mathematical model is proposed and analyzed to study the formation of acid rain in the atmosphere because of precipitation and its effect on plant species. It is considered that acid-forming gases such as SO2, NO2 emitted from various sources combine with water droplets (moisture) during precipitation and form acid rain a...

In this paper, a nonlinear mathematical model is proposed to study the removal of primary gaseous pollutants forming secondary species, from the atmosphere by precipitation due to rain. In the modeling process , it is assumed that the growth of raindrops is directly proportional to the density of cloud droplets, which are formed due to presence of...

This paper presents an authenticated key agreement protocol based on a braid group. It is proved that the proposed protocol meets several security attributes under the assumption that the Root Problem (RP) in braid group is a hard problem.

In this paper, a nonlinear mathematical model is proposed and analyzed to study the interactions of hot gases with cloud droplets as well as with raindrops and their removal by rainfrom the stable atmosphere. The atmosphere, during rain, is assumed to consist of five nonlinearly interacting phases i.e. the vapour phase, the phase of cloud droplets,...

A nonlinear five-dimensional mathematical model is proposed and analyzed to study the removal of a gaseous pollutant and two different particulate matters by rain from the atmosphere of a city. The atmosphere, during rain, is assumed to consist of five interacting phases namely, the raindrops phase, the gaseous pollutant phase, its absorbed phase a...

In this paper, an original nonlinear mathematical model for the removal of gaseous pollutants and particulate matters from the atmosphere of an industrial city by rain is proposed and analyzed. It is assumed that five interacting phases in the atmosphere of the city exist, i.e., cloud droplets phase, raindrops phase, gaseous pollutants phase, parti...

An ecological type nonlinear mathematical model is proposed to study the removal of gaseous pollutants and two distinct particulate matters by precipitation scavenging in the atmosphere. The atmosphere during precipitation consists of five interacting phases namely the raindrops phase, the gaseous pollutants phase, the smaller particulate matters p...

An ecological type nonlinear mathematical model is proposed to study the removal of gaseous pollutants and two distinct particulate matters by precipitation scavenging in the atmosphere. The atmosphere during precipitation consists of five interacting phases namely the raindrops phase, the gaseous pollutants phase, the smaller particulate matters p...

In this paper, a nonlinear mathematical model is proposed and analyzed to study the removal of gaseous pollutants and particulate matters from the atmosphere of a city by precipitation. The atmosphere consists of four interacting phases i.e. the raindrops phase, the gaseous pollutants phase, the phase of gaseous pollutants absorbed (dissolved) in r...

In this paper, a nonlinear mathematical model is proposed to study the removal of gaseous pollutants undergoing chemical conversion to form secondary pollutants and particulate matters from the atmosphere of a city by precipitation. To model the problem, we assume that there exist seven interacting phases i.e. the raindrops phase, the primary gaseo...

In this paper, a nonlinear mathematical model is proposed and analyzed to study the effect of an intermediate toxic product on the growth of plant biomass. It is assumed that the toxicant uptaken by plant biomass interacts with water (sap) present in it and forms an intermediate product, which then affects the biomass. To model the phenomena, it is...

In this paper, we have proposed and analyzed a nonlinear mathematical model for the removal of primary and secondary pollutants from the atmosphere of an industrial city by rain. To model the phenomenon, it is assumed that the atmosphere consists of five nonlinearly interacting phases i.e. the raindrops phase, the primary pollutants phase, the seco...

A nonlinear mathematical model is proposed and analyzed to study the removal of primary and secondary air pollutants by precipitation in the atmosphere. The atmosphere, under consideration, consists of four interacting phases i.e. the rain droplets phase, the primary pollutants phase, the secondary pollutants phase and the combined phase of these p...

A mathematical model for the removal of gaseous pollutants and particulate matters from the atmosphere by heavy rain is proposed and analyzed using stability theory of nonlinear differential equations. In the model, it is assumed that no absorbed phase formation takes place as there is no sufficient time left for this process and therefore, the rem...