Reflexive spatial behaviour does not guarantee evolution advantage in prey--predator communities

TL;DR

This paper investigates whether reflexive spatial behavior in predator-prey models provides an evolutionary advantage, analyzing a system where species optimize migration based on net reproduction.

Contribution

It introduces a model where predator and prey species use reflexive strategies to optimize migration, examining the impact on evolutionary success.

Findings

Reflexive migration strategies do not necessarily confer an evolutionary advantage.

Optimal migration depends on species interactions and environmental conditions.

Reflexive behavior influences population distribution but not always fitness.

Abstract

We consider the model of spatially distributed population consisting of two species with "\textsl{predator\,--\,prey}" interaction; each of the species occupies two stations. Transfer of individuals between the stations (migration) is not random and yields the maximization of a net reproduction of each species. Besides, each species implements reflexive behavior strategy to determine the optimal migration flow.