Coagulation–Fragmentation Model for Animal Group-Size Statistics
Coagulation–Fragmentation Model for Animal Group-Size Statistics
We study coagulation-fragmentation equations inspired by a simple model proposed in fisheries science to explain data for the size distribution of schools of pelagic fish. Although the equations lack detailed balance and admit no $H$-theorem, we are able to develop a rather complete description of equilibrium profiles and large-time behavior, …