Convergence to equilibrium in competitive Lotka-Volterra and chemostat systems

Furthermore, the continuous-state model shows also that the F 1 motor works with a tight chemomechanical coupling for an external torque ranging between the stalling torque and

For a general class of linear collisional kinetic models in the torus, including in particular the linearized Boltzmann equation for hard spheres, the linearized Landau equation

n -dof systems, lasting contact phases necessitate a purely inelastic impact law of the form Pu C D 0, leading to a loss of kinetic energy incompatible with the conservative

Let suppose that in that market the consumers are interested in consuming 1 or 0, depending on the comparison of the selling price with their reservation price., and the firms

Let suppose that in that market the consumers are interested in consuming 1 or 0, depending on the comparison of the selling price with their reservation price., and the firms

Therefore, our main interest in this paper is to study the long time behavior of the process (Z t ) t conditioned to non-extinction, either in the competition case, or in the

i) When the investment good sector is characterized by constant social returns, i.e. As shown in Appendix 5.4, it is also worth noticing that the conditions for local indeterminacy

However, if we consider in the population Z · N the number of those individuals in the generation 0 whose progeny is still alive in generation [N t], that number does not explode