Dr. Mudassar Imran obtained his Ph.D. in Mathematics from Arizona State University. Before joining Ajman University, he worked as an associate professor at Gulf University for Science and Technology, Kuwait. His research experience includes working as a postdoctoral fellow at North Carolina State University and McMaster university. He also worked at the University of Manitoba (Canada). His area of research is Mathematical Biology, Mathematical Modeling, Epidemiology, and Optimal Control.
To mitigate the spread of the COVID-19 coronavirus, some countries have adopted more stringent non-pharmaceutical interventions in contrast to those widely used. In addition to standard practices such as enforcing curfews, social distancing, and closure of non-essential service industries, other non-conventional policies also have been implemented, such as the total lockdown of fragmented regions, which are composed of sparsely and highly populated areas.
In this work, the response of a ship rolling in regular beam waves is studied. The model is one degree of freedom model for nonlinear ship dynamics. The model consists of the terms containing inertia, damping, restoring forces, and external forces. The asymptotic perturbation method is used to study the primary resonance phenomena. The effects of various parameters are studied on the stability of steady states. It is shown that the variation of bifurcation parameters affects the bending of the bifurcation curve. The slope stability theorems are also presented