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.

Factor-XIII activity in patients with mild to moderate ulcerative colitis and active bleeding: a prospective observational study.

Objective: Coagulation factor XIII plays a key role in fibrin clot stabilization and epithelial healing. Under chronic inflammatory conditions involving bleeding and an activation of the coagulation cascade, the FXIIIa inversely correlate with disease activity. We assumed that FXIIIa could be a predictor of severity in patients with ulcerative colitis (UC).