Critical Study on the Absorbing Phase Transition in a Four-State Predator-Prey Model in One Dimension

TL;DR

This paper clarifies that the four-state predator-prey model in one dimension actually belongs to the directed percolation universality class, countering previous claims of distinct critical behavior.

Contribution

The study demonstrates that the 4SPP model's critical behavior aligns with directed percolation, correcting earlier assertions of a different universality class.

Findings

4SPP model belongs to the DP universality class

Counteracts previous claims of distinct critical behavior

Supports the robustness of DP universality class

Abstract

In a recent letter [Chatterjee R, Mohanty P K, and Basu A, 2011 {\em J. Stat. Mech.} L05001], it was claimed that a four-state predator-prey (4SPP) model exhibits critical behavior distinct from that of directed percolation (DP). In this Letter, we show that the 4SPP in fact belongs to the DP universality class.