Dependence of Péclet number on agent-based chemotactic predator–prey system

Abstract

Here, we concentrate on the world that only chemicals are allowed to use as cues from agents, the chemicals secreted from all agents, diffuse and decay under fluid conditions, give rise to change of motility to agents, that is called chemotaxis. At first, motility of single agent is confirmed, and then we show a simple mechanism of predator (chaser)–prey (target) system consist of such chemotactic agents only. Finally, we explicitly consider fluid conditions in the system. The model system has parameter \(\alpha\), corresponding diffusion coefficient of the chemicals, inversely relates to Péclet numbers. The smaller Péclet numbers give rise to more obscure chemical traces, but leading to higher survivability-efficient to predator (chaser) as well as prey (target), indicating that they can use complex traces to change their moving directions without using any waves, such as electromagnetic and/or sound. These results can be regarded as an emergence phenomena of diffusion- and chemotaxis-driven swarm intelligence.