Three "quantum" models of competition and cooperation in interacting biological populations and social groups

TL;DR

This paper introduces a quantum-inspired statistical approach to model interactions in biological and social groups, effectively capturing fluctuations and discreteness, especially in small populations where traditional methods fail.

Contribution

It presents a novel quantum theory-based framework for modeling diverse interactions in populations and social groups, extending applicability to small populations and complex systems.

Findings

Successfully models antagonistic, cooperative, and coalition interactions

Applicable to small populations where standard methods fail

Framework generalizable to complex systems in various sciences

Abstract

In present paper we propose the consistent statistical approach which appropriate for a number of models describing both behavior of biological populations and various social groups interacting with each other.The approach proposed based on the ideas of quantum theory of open systems (QTOS) and allows one to account explicitly both discreteness of a system variables and their fluctuations near mean values.Therefore this approach can be applied also for the description of small populations where standard dynamical methods are failed. We study in detail three typical models of interaction between populations and groups: 1) antagonistic struggle between two populations 2) cooperation (or, more precisely, obligatory mutualism) between two species 3) the formation of coalition between two feeble groups in their conflict with third one that is more powerful . The models considered in a sense are mutually complementary and include the most types of interaction between populations and groups. Besides this method can be generalized on the case of more complex models in statistical physics and also in ecology, sociology and other "soft' sciences.