  A trophallaxis inspired model for distributed transport between randomly
interacting agents Trophallaxis, the regurgitation and mouth to mouth transfer
of liquid food between members of eusocial insect societies, is an important
process that allows the fast and efficient dissemination of food in the colony.
Trophallactic systems are typically treated as a network of agent interactions.
This approach, though valuable, does not easily lend itself to analytic
predictions. In this work we consider a simple trophallactic system of randomly
interacting agents with finite carrying capacity, and calculate analytically
and via a series of simulations the global food intake rate for the whole
colony as well as observables describing how uniformly the food is distributed
within the nest. Our work serves as a stepping stone to describing the
collective properties of more complex trophallactic systems, such as those
including division of labor between foragers and workers.
