Harsh Kushwah

Crisis times are characterized by a dynamically changing and evolving need set that should be evaluated and acted upon with the least amount of latency. Though the established practice of response to rescue and relief operations is largely institutionalized in norms and localized; there is a vast sea of surging goodwill and voluntary involvement that is available globally to be tapped into and channelized for maximum benefit in the initial hours and days of the crisis. This is made possible with the availability of real-time, collaborative communication platforms such as those facilitated by Facebook, Google and Twitter. They enable building and harnessing real-time communities as an amorphous force multiplier to collate, structure, disseminate, follow-through, and close the loop between on-ground and off-ground coordination on information, which aids both rescue as well relief operations of ground response organizations. At times of emergencies, amorphous online communities of citi...

In this paper, a non-linear mathematical model is proposed and analysed to study the role of technology in combating social crimes in a dynamic population by considering immigration and emigration rates of susceptible population and criminals. The problem is modelled by considering five interacting variables, namely the density of susceptible population, the density of criminals, the density of removed (isolated) criminals, the density of crime burden and the level of technology used to control crime. The proposed model is analysed by using the stability theory of differential equation and simulation. The model analysis shows that the crime burden decreases considerably as the level of technology increases. It is noted that the crime in a society can be controlled almost completely if criminals from the general population are removed by intensive use of technology.

For decades, India has been struggling with terrorism in its various parts such as Kashmir, Assam, Naxal affected region etc. It has resulted in deaths of thousands of innocent civilians and security personnels. It has affected the security along with long lasting effects on social , economic stability etc. of the region. In this paper, a non-linear mathematical model is proposed and analyzed to study the effects of demographic processes like immigration of susceptible and intrusion of terrorists and government efforts in combating terrorism in a region while trying to develop the region. This problem is governed by four variables, namely, densities of susceptible, extremists with demographic processes, government efforts for economic development, for countering propaganda and other government efforts to combat terrorists. The model is analyzed by using the stability theory of differential equations and simulations.

The introduction of e-commerce platforms have transformed the buying behaviour of millions of people. E-commerce websites allow the users to purchase products, compare prices, add them to cart for future purchase, make payment online or cash on delivery and receive the purchased products at their doorstep. This has opened up exciting opportunities and created a larger market segment for not only big corporations but also small and medium businesses and even startups. To boost sales and improve customer retention, e-commerce apps use incentive schemes. This study examines and analyses the effects of incentive schemes on consumer behaviour on e-commerce platforms.
Research Outline
The proposed research will study the impact of incentive schemes on consumer behaviour of e-commerce websites. These incentive schemes are: Cash Back, No Interest EMI, Discount. With sales data of selected products from different e-commerce apps/websites, we will analyse the effects of incentive schemes on consumer behaviour, distributed among various stages of purchase journey.
Along with this, we will do a survey of a sample of participants in Pune region with demographic variation like age, gender, income group, location, and collect their response for their buying preference in presence and absence of incentive schemes. The data collected will be analyzed through different research methodologies along with mathematical models.