The mathematical modeling of a gas network is a powerful tool in order to identify the behavior of system under the different conditions. The modeling can be performed both for the steady state and unsteady state conditions. It is possible to use the fluid flow basic governing equations or the electrical analogy concept for developing the model. The second approach provides a simpler and more r...

The PID control is favored in controlling industrial processes for its ease of implementation. In this paper we present an analytical study, with aim at stability robustness, tracking performance, and pole placement first-order unstable plants under control. We employ a multiplicity-induced dominancy (MID) strategy to design tune controller gains, which shown possess desirable properties that e...

The precise dynamics of a reaction-diffusion model of autocatalytic chemical reaction is described. It is shown that exactly either one, two, or three steady states exists, and the solution of dynamical problem always approaches to one of steady states in the long run. Moreover it is shown that a global codimension one manifold separates the basins of attraction of the two stable steady states....

Abstract Laterally confined marine outlet glaciers exhibit a diverse range of behaviours. This study investigates time-evolving and steady configurations such glaciers. Using simplified analytic models, it determines conditions for states, their stability expressions the rate calving-front migration three widely used calving rules. It also effects ice mélange when is present. The results show t...

For many bacterial viruses, the choice of whether to kill host cells or enter a latent state depends on the multiplicity of coinfection. Here, we present a mathematical theory of how bacterial viruses can make collective decisions concerning the fate of infected cells. We base our theory on mechanistic models of gene regulatory dynamics. Unlike most previous work, we treat the copy number of vi...