We construct and study a discrete time model describing the conflict interaction between two
complex systems with non-trivial internal structures. The external conflict interaction is based …

A mathematical model of society is constructed in the form of a multicomponent dynamical
system generated by the conflict interaction between individuals. The behavior of individuals …

We establish a series of sufficient conditions for the realization of a sure event as the limit (in
time) state of a multicomponent dynamical system with attractive interaction. The sure event …

We study several models of dynamic conflict systems. Their behaviors are characterized by
a certain quantity called an interaction vector. The interaction vector determines the …

We investigate a model of a dynamical system of a conflict triad that describes the interaction
between the substances of the natural triad: biological populations (life), environment (living …

We study the behavior of complex dynamical systems describing an attractive interaction
between two opponents. We use the stochastic interpretation and describe states of systems …

The notion of conflict system is introduced in terms of couples of the probability measures.
We construct several models of conflict systems and show that every trajectory with initial …

We investigate the dynamical systems modeling conflict processes between a pair of
opponents. We assume that opponents are given on a common space by distributions …

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 …

We analyze a class of explicitly solvable models for the problems of redistribution of the
conflict space between two alternative opponents. The existence of equilibrium state is …