We examine the response of a quasi-two-dimensional colloidal suspension to localized circular driving induced by optical tweezers. This approach allows us resolve over 3 orders magnitude in P\'eclet number (Pe) and provide direct observation sharp spatial crossover from far- near-thermal-equilibrium regions suspension. In particular, particles migrate high low Pe form strongly inhomogeneous ste...

In this paper, a nonlinear spatial model is proposed and analyzed to study the effect of pollution on biological population. It is assumed that the pollutants enter into the environment not directly by the population but by a precursor produced by the population itself. It is further assumed that larger the population, faster the precursor is produced, and larger the precursor, faster the pollu...

Inspired by the recent developments in modeling and analysis of reaction networks, we provide a geometric formulation of the reversible reaction networks under the influence of diffusion. Using the graph knowledge of the underlying reaction network, the obtained reaction-diffusion system is a distributed-parameter port-Hamiltonian system on a compact spatial domain. Motivated by the need for co...

In this paper, we develop a perfectly competitive spatial equilibrium model in price and quantity variables in the presence of discriminatory ad valorem tariffs, a widely used trade policy instrument. We derive the equilibrium conditions and formulate them as a variational inequality problem. An algorithm is then proposed for the computation of the equilibrium pattern and convergence results es...

Spatial equilibrium models rely on migration to arbitrage away differences in utility across locations net of moving costs, where remaining differences in wages and rents reflect the compensating differentials related to site-specific amenities. Recent refinements to the spatial equilibrium model focus upon the prospect of disequilibrium in amenity markets. Amenity market disequilibrium implies...

We develop spatial competition a la Bertrand for barge shipping along a waterway. Equilibrium prices are derived for two variations. For each case, we …rst give the perfectly competitive benchmark (when all modes are priced at marginal cost) before introducing market power on the modes. The paper emphasizes strategic rivalry (and market power) in two dimensions, and, for tractability, we consid...

in this paper, we have proposed a study on controllability and optimal harvestingof a prey predator model and mathematical non linear formation of the equation equilibriumpoint of routh harvest stability analysis. the problem of determining the optimal harvestpolicy is solved by invoking pontryagin0s maximum principle dynamic optimization of theharvest policy is studied by taking the combined h...

in this study, under the constraint of resource-saving and environment-friendliness objective, based on multi-agent genetic algorithm, multi-objective spatial optimization (moso) model for land use allocation was developed from the view of simulating the biological autonomous adaptability to environment and the competitive-cooperative relationship. the model was applied to solve the practical m...