Coexistence and critical behaviour in a lattice model of competing species

Details Coexistence and critical behaviour in a lattice model of competing species Coexistence and critical behaviour in a lattice model of competing species

2010-10-12

arxiv.org/abs/1010.2538v2

Phy. Rev. E 83, 031904 (2011)

Biology

Quantitative Biology

Populations and Evolution

11 pages, 14 figures

Scientific paper

10.1103/PhysRevE.83.031904

In the present paper we study a lattice model of two species competing for the same resources. Monte Carlo simulations for d=1, 2, and 3 show that when resources are easily available both species coexist. However, when the supply of resources is on an intermediate level, the species with slower metabolism becomes extinct. On the other hand, when resources are scarce it is the species with faster metabolism that becomes extinct. The range of coexistence of the two species increases with dimension. We suggest that our model might describe some aspects of the competition between normal and tumor cells. With such an interpretation, examples of tumor remission, recurrence and of different morphologies are presented. In the d=1 and d=2 models, we analyse the nature of phase transitions: they are either discontinuous or belong to the directed-percolation universality class, and in some cases they have an active subcritical phase. In the d=2 case, one of the transitions seems to be characterized by critical exponents different than directed-percolation ones, but this transition could be also weakly discontinuous. In the d=3 version, Monte Carlo simulations are in a good agreement with the solution of the mean-field approximation. This approximation predicts that oscillatory behaviour occurs in the present model, but only for d>2. For d>=2, a steady state depends on the initial configuration in some cases.

Affiliated with

Also associated with

No associations

Rating

Coexistence and critical behaviour in a lattice model of competing species does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Coexistence and critical behaviour in a lattice model of competing species, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coexistence and critical behaviour in a lattice model of competing species will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-226033