The conflict triad dynamical system

TL;DR

This paper introduces a dynamical model of a natural conflict triad involving biological populations, resources, and negative factors, analyzing various coexistence phases and bifurcations through computer simulations.

Contribution

It develops a novel dynamical system model for the conflict triad and identifies key coexistence phases and bifurcation points with simulation evidence.

Findings

Identification of stable equilibrium states

Existence of cyclic and oscillatory trajectories

Detection of bifurcation points and thresholds

Abstract

A dynamical model of the natural conflict triad is investigated. The conflict interacting substances of the triad are: some biological population, a living resource, and a negative factor (e.g., infection diseases). We suppose that each substance is multi-component. The main coexistence phases for substances are established: the equilibrium point (stable state), the local cyclic orbits (attractors), the global periodic oscillating trajectories, and the evolution close to chaotic. The bifurcation points and obvious thresholds between phases are exhibited in the computer simulations.