Extinction in four species cyclic competition
نویسندگان
چکیده
منابع مشابه
Extinction in four species cyclic competition
When four species compete stochastically in a cyclic way, the formation of two teams of mutually neutral partners is observed. In this paper we study through numerical simulations the extinction processes that can take place in this system both in the well mixed case as well as on different types of lattices. The different routes to extinction are revealed by the probability distribution of the...
متن کاملStochastic evolution of four species in cyclic competition
We study the stochastic evolution of four species in cyclic competition in a well mixed environment. In systems composed of a finite number N of particles these simple interaction rules result in a rich variety of extinction scenarios, from single species domination to coexistence between non-interacting species. Using exact results and numerical simulations we discuss the temporal evolution of...
متن کاملCyclic competition of four species: domains and interfaces
We study numerically domain growth and interface fluctuations in oneand two-dimensional lattice systems composed of four species that interact in a cyclic way. Particle mobility is implemented through exchanges of particles located on neighboring lattice sites. For the chain we find that the details of the domain growth strongly depend on the mobility, with a higher mobility yielding a larger e...
متن کاملSaddles, arrows, and spirals: deterministic trajectories in cyclic competition of four species.
Population dynamics in systems composed of cyclically competing species has been of increasing interest recently. Here we investigate a system with four or more species. Using mean field theory, we study in detail the trajectories in configuration space of the population fractions. We discover a variety of orbits, shaped like saddles, spirals, and straight lines. Many of their properties are fo...
متن کاملSurvival and extinction in cyclic and neutral three-species systems.
We study the ABC model ( A + B mapsto 2 B, B + C mapsto 2 C, C + A mapsto 2 A), and its counterpart: the three-component neutral drift model ( A + B mapsto 2 A or 2 B, B + C mapsto 2 B or 2 C, C + A mapsto 2 C or 2 A.) In the former case, the mean-field approximation exhibits cyclic behaviour with an amplitude determined by the initial condition. When stochastic phenomena are taken into account...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Mechanics: Theory and Experiment
سال: 2013
ISSN: 1742-5468
DOI: 10.1088/1742-5468/2013/08/p08011