A Delayed Chemostat Model with Impulsive Diffusion and Input on Nutrients

A Delayed Chemostat Model with Impulsive Diffusion and Input on Nutrients

A chemostat model with delayed response in growth and impulsive diffusion and input on nutrients is considered. Using the discrete dynamical system determined by the stroboscopic map, we obtain a microorganism-extinction periodic solution. Further, it is globally attractive. The permanent condition of the investigated system is also obtained by the theory on impulsive delay differential equatio...

Global Behaviors of a Chemostat Model with Delayed Nutrient Recycling and Periodically Pulsed Input

The dynamic behaviors in a chemostat model with delayed nutrient recycling and periodically pulsed input are studied. By introducing new analysis technique, the sufficient and necessary conditions on the permanence and extinction of the microorganisms are obtained. Furthermore, by using the Liapunov function method, the sufficient condition on the global attractivity of the model is established...

the effect of lexical and grammatical collocation instruction through input flooding versus awareness raising on short-term and delayed retention as well a active use

this study attempted to explore if teaching english collocations through two different modes of awareness-raising and input flooding has any possible differential effect on immediate retention as well as retention in a delayed assessment. it also compared the possible differential effect of teaching english collocations implicitly and explicitly on actively using the items in writing. m...

Global stability in a chemostat with multiple nutrients.

We study a single species in a chemostat, limited by two nutrients, and separate nutrient uptake from growth. For a broad class of uptake and growth functions it is proved that a nontrivial equilibrium may exist. Moreover, if it exists it is unique and globally stable, generalizing a result in [15].

Research Article On the Study of Chemostat Model with Pulsed Input in a Polluted Environment