This paper extends Turing analysis to standard recursive optimal control frameworks in economics and applies it to dynamic bioeconomic problems where the interaction of coupled economic and ecological dynamics under optimal control over space creates (or destroys) spatial heterogeneity. We show...

Using a one parameter free energy model for surfactants, we numerically study the effects of hydrodynamics in the microemulsion and lamellar phases. Our results show that the dynamical correlation function has temporal oscillations for a range of hydrodynamical coupling strengths in the...

We study pattern formation in periodic systems with conserved dynamics driven by both thermally sustained flux and external (athermal) flux. Assuming the stochastic nature of each kind of flux we discuss noise induced patterning with competing stochastic dynamics in the framework of the...

Pedestrian counter flow is investigated by experiment and simulation. The experiment is performed for the channel with open boundaries. Two types of walkers, going to the right and to the left, are taken into account. The video recordings and measurements of individual arrival times are...

The dynamics of reaction-diffusion systems in low dimensions is often driven by fluctuations and a simple-minded description in terms of rate equations is not sufficient. Moreover, the emergence of complex patterns in such systems can involve simultaneously several new mechanisms as, for...

We analyze a system of reacting elements harmonically coupled to nearest neighbors in the continuum limit. An analytic solution is found for traveling waves. The procedure is used to find oscillatory as well as solitary waves. A comparison is made between exact solutions and solutions of the...

We report numerical simulations of the structure of advancing burning fronts under conditions where the dominating transport mechanisms is the diffusion of oxygen and heat. The model we study describes the interplay between two diffusive fields: one which accounts for the destabilizing mechanism...

The microphase separation of symmetric diblock copolymers in the presence of an external force field is simulated by means of a cell dynamical system model. It is found that the pattern formation is greatly affected by the presence of the field and by the type of boundary conditions considered....

A system of partial differential equations is used to model the dissemination of the Human Immunodeficiency Virus (HIV) in CD4+T cells within lymph nodes. Besides diffusion terms, the model also includes a time-delay dependence to describe the time lag required by the immunologic system to...