How can I plot diagrams for a particle model?

I am working on a particle model that models a swarm (which involves systems of differential equations) and would like to produce diagrams of this form:

(source: Yao-li Chuang, Maria R. D’Orsogna, Daniel Marthaler, Andrea L. Bertozzi, and Lincoln S. Chayes, State Transitions and the Continuum Limit for a 2D Interacting, Self-Propelled Particle System)

Is it possible to create diagrams like this?

Right now I have

V = sym('V', [N d]); % velocity (N particles, dimension = 2), V(i,j) is the jth velocity component of the ith particle
X = sym('X',[N d]); % the position defined same way as above

I am aiming to approximate the solution numerically and plot the graphs above.

[KSSV]

If you the locations (x,y) and the respective vector components (u,v) you can very much plot the shown figures using quiver.