Power law for extinction process in multiple contact process

Yukio Sakisaka
Kei-ichi Tainaka
Nobuaki Sugimine
Jin Yoshimura
Taro Hayashi
Kazuyuki Aihara
Tatsuya Togashi
Tatsuo Miyazaki

We deal with a multiple contact process, that is a modification of the contact process. This system contains N kinds of species (N = 10) on a finite-sized square lattice. Simulations are carried out using two different methods: local and global interactions. It is found that the waiting time to the extinction of the first species follows a power law. Moreover, we find that local interaction promotes the coexistence of multiple species.

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN

PHYSICAL SOC JAPAN

10.1143/JPSJ.76.023101

http://ci.nii.ac.jp/naid/160000033142
https://doi.org/10.1143/JPSJ.76.023101
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