We demonstrate strong experimental support for the cybernetic model based on maximizing carbon uptake rate in describing the microorganism's regulatory behavior by verifying exacting predictions of steady state multiplicity in a chemostat. Experiments with a feed mixture of glucose and pyruvate show multiple steady state behavior as predicted by the cybernetic model. When multiplicity occurs at...

This paper treats of some queueing systems with multiple inputs and exponential service times with a common rate r. The queue discipline for all systems in this paper is first-come, first-served. The systems of equations for steady-state probabilities of queueing systems are of the similar forms and hence the methods for solving these systems are also similar to each other. Under the steady-sta...

(ES)  −∆u = αu− δv + Fu(u, v) in Ω, ∆v = −δu− γv + Fv(u, v) in Ω, u = v = 0 on ∂Ω, where Ω is a bounded open domain in R with smooth boundary, α ≥ 0, δ ≥ 0, γ ≥ 0 are three real parameters and F ∈ C(R,R). The solutions of (ES) represent the steady state solutions of reaction-diffusion systems which are derivedfrom several applications, such as mathematical biology or chemical reactions (see...

Multiplicity of steady states was experimentally obser®ed, somewhat sporadically, for ( ) Fischer Tropsch FT synthesis in stirred tank slurry reactors in the reactor originally ( ) at the wax-producing normal steady state suddenly jumping to a high-temperature ( ) methane-producing steady state for some time and e®entually returning to the normal steady state. A diagnostic nonlinear analysis sh...

The classic two-state exothermic continuous stirred tank reactor (CSTR) is known to exhibit complex static and dynamic nonlinear behavior, which includes input and output multiplicities, hys-teresis (ignition/extinction behavior), parametric sensitivity, and nonlinear oscillations. An implicit assumption of the two-state CSTR model is that cooling jacket temperature is the manipulated input (fo...

asymptomatic malaria (asm) has been implicated in the development of hemolytic crisis in infected sickle cell anemia (sca) patients worldwide. this study surveyed steady state sca nigerian patients for asm to investigate the influence of malaria prevention behaviors and age on parasitaemia and multiplicity of infection (moi). a total of 78 steady sca patients aged 5 – 27 years on routine care a...

A novel approach of the chemical reactor stabilization is proposed by using a multistability control. A creation of an additional stable steady state by changing the reactor multiplicity features is a main idea of the multistability control. Proposed approach employs a special type of periodic forced operation, called mediating operation. Mediating operation is able to change a qualitative char...