Chaotic and Oscillatory Behavior of an Epidemic: Agent-Based Model.

The spread of epidemics over a landscape of several population agglomerations is presented. A continuous, system dynamics version of an epidemics model is discussed and compared to the agent-based model. The validity of the continuous Susceptible-Infected-Recovered-Susceptible (SIRS) model is questioned.

Reachable sets of differential inclusions: New DI solver, parallel version, interdisciplinary applications.

The new version of the differential inclusion solver is presented. The solver calculates the reachable sets of differential inclusions. The new features are discussed, compared to the original version published in 2002.

The Spontaneous Rise of the Herd Instinct: Agent-Based Simulation.

The problem being investigated is the spontaneous rise of the herd instinct in an artificial population, where the population members have no explicit stimuli for such instinct implanted in their original behavior patterns. The simulations are focused on the creation of the herd instinct in the population that originally does not reveal the gregarious behavior. In this agent-based model, the members of the population (agents) move over a limited region, look for renewable food, reproduce, escape a threat and die.

Dynamics of economic growth: Uncertainty treatment using differential inclusions.

The article is focused on applications of the differential inclusions to the models of economic growth, rather than the model building. The models are taken from the known literature, and some modifications are introduced to reflect an additional inertia. The aim is to treat the uncertainty in the model parameters by using differential inclusions instead of the stochastic approach.

Uncertainty Treatment in Prey-Predator Models Using Differential Inclusions.

The prey-predator model in the form of Lotka-Volterra equation represents a nonlinear description of the dynamics of two or more interacting populations. In this article, several versions of the Lotka-Volterra model are analyzed from the point of view of parameter uncertainty. The uncertainty treatment is quite different from the common approach.

Simulating Self-organization and Interference between Certain Hierarchical Structures.

A model of the dynamics and interactions between organizations with self-organizing hierarchical structures is presented for discrete events. The active objects of the model are individuals (people, organization members). The parameters of an individual are ability, corruption level, resources, and lust for power, among others.

A self-destruction game.

A simple model of a self-destructing society is presented. It can be interpreted as a game with two players: the society and its sub-set which tends to destroy the whole society, as well as itself. The main factor taken into account in the model is the progress of science and technology which provides the destruction tools (new weapons and killing techniques), as well as tools the society can use to defend itself.