## Differential Equations Seminar: Guy Djokam

#### UMBC

Monday, December 3, 2018 · 11 AM - Noon

**Title:**A Generalized Model of Flocking.

**Abstract:**Flocking is the terminology used to describe the phenomenon where self-propelled agents stay together by using only environmental information and simple rules. In this talk, we present the Motsch and Tadmor model of flocking derived from the model of Cucker and Smale. We will then generalize this model by considering the coefficient of proportionality of the acceleration to be a function of time and to depend on each agent. Furthermore, we will consider a very general form of influence function a_ij = a_ij(x_1, x_2, ..., x_N), which allows for partial masking. where two agents 'i' and 'j' equidistant from agent 'k' may exert different influence depending on whether there is another agent in between and in the line of sight. The study of this model shows that, flocking can be conditional or unconditional. Some MATLAB simulations will be presented to illustrate the mathematical analysis.