If you really want to get into it, attrition models here model rates for both factions. You can simulate it yourself with a cellular automata model for a visual representation. Appropriate considering they are literally using phalanxes.
http://chalkdustmagazine.com/blog/modelling-warfare
Here's the interesting thing to me. What allows swarm behavior in humans isn't the advent of Internet technology or fancy math. Sure, social media makes it easier to coordinate immediate responses and allocate ourselves. But the only reason any of this happening is that we find ourselves having a lot of free time to actually understand each other, decide to agree on something and then organize a time and place to do it.
Aside: Dear Hacker News, if you really want to make a difference on the ground, consider offering tech stations where people can charge batteries or get service. Maybe take the time to teach people about surveillance cameras and adversarial fashion. Or you know, just tell people how to set up Signal. You might think this is low hanging fruit, but your average citizen is intimidated by it or completely isolated from the stuff that we get bored about. I know at least a good deal of us are frustrated that the average consumer is not more savvy or protective of their digital rights. What's beautiful about computer technology to me is how we help each other by teaching people to help themselves. Not everyone needs to know DevOps, but getting a community to switch from unencrypted messaging is fun and simple if you show them how easy it is.
Back to business: It's kind of a coding rite of passage to cook up the physics for a flocking system. Reynold's boids model is a masterful demonstration in how to intuitively understand class behavior.
My boss once asked me if we would ever be able to compute the complex behavior of bird swarms. I immediately flipped around and said yes, one day in the distant future of 1986. A bit snarky. I regretted it immediately. He just expressed disappointment by how simple it ended up being. I explained that its just a model of understanding and elegant for it, real life behavior is a lot more chaotic and nuanced than this toy. In 2D it runs pretty well, and it's a decent stress test on GPUs if you can also generalize the structure to take advantage of 3D engines.
Here's a link to Daniel Shiffman's excellent write up and code examples illustrating the phenomena: https://natureofcode.com/book/chapter-6-autonomous-agents/
Another interesting take on swarming behavior is the study of convexity in the generalized raptor problem. The discrete version of this problem is a kind of flavor of the N-Queens problem. Basically you're solving for an ODE so the police on all sides can't get you.