Self-regulation in infinite populations with fission-death dynamics

Publication date: Available online 14 July 2018Source: Physics Letters AAuthor(s): Yuri Kozitsky, Agnieszka TanaśAbstractThe evolution of an infinite population of interacting point entities placed in Rd is studied. The elementary evolutionary acts are death of an entity with rate that includes a competition term and independent fission into two entities. The population states are probability measures on the corresponding configuration space and the result is the construction of the evolution of states in the class of sub-Poissonian measures, that corresponds to the lack of clusters in such states. This is considered as a self-regulation in the population due to competition.

Source: Physics Letters A - July 14, 2018 Category: Physics Source Type: research