<p style='text-indent:20px;'>In this study, we consider a Lotka–Volterra reaction–diffusion–advection model for two competing species under homogeneous Dirichlet boundary conditions, describing hostile environment at the boundary. In particular, deal with case in which one diffuses constant rate, whereas other has rate diffusion directed movement toward better habitat heterogeneous lethal...

The direct three component modified Mannich reaction via condensation of aldehydes, 2-naphthol or 2,7-naphthalendiol and piperidine to generate Betti bases has been carried out over L-proline (20 mol%) with high efficiency under solvent free conditions at 70 OC. Also, the reaction of aromatic aldehyde and 4-hydroxycoumarin in the presence of L-proline (20 mol%) in the ethanol under reflux condi...

A highly efficient and environmentally friendly synthesis of various 1,5-diaryl-3-(arylamino)-1H-pyrrol-2(5H)-ones catalyzed by 1-methylpiperidinium hydrogen sulfate via one-pot cyclo-condensation reaction ofaldehydes, amines and ethyl 2-oxopropanoate under ambient conditions has been explored. The presentmethodology offers several advantages such as good yields, simple procedure, shorter react...

Efficient and chemoselective protection of aldehydes to the corresponding dimethyl acetals have been carried out by mixture of trimethyl orthoformate and methanol in the presence of a catalytic amount of TMSCl or AlCl3 under microwave irradiation. Under these conditions, acetalization of ketones does not take place and they remain intact under reaction conditions. The results are compared with ...