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D. Zeidan In this paper, we consider the existence of traveling waves in a generalized nonlinear dispersive-dissipative equation, which is found in many areas of application including waves in a thermoconvective liquid layer and nonlinear electromagnetic waves. By using the theory of dynamical systems, specifically based on geometric singular perturbation theory and invariant manifold theory, Fredholm theory, and the linear chain trick, we construct a locally invariant manifold for the associated traveling wave equation and use this invariant manifold to obtain the traveling waves for the nonlinear dispersive-dissipative equation. Copyright © 2015 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]

This paper deals with the existence of traveling wave solutions for n-dimensional delayed reaction-diffusion systems. By using Schauder's fixed point theorem, we establish the existence result of a traveling wave solution connecting two steady states by constructing a pair of upper-lower solutions that are easy to construct. As an application, we apply our main results to a four-dimensional delayed predator-prey system and obtain the existence of traveling wave solutions. Copyright © 2016 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]

β-lactamase-mediated resistance to β-lactam antibiotics is an increasing threat to clinical antimicrobial chemotherapy. The combinations of β-lactam antibiotics and β-lactamase inhibitors (such as sulbactam, tazobactam and clavulanic acid) have been successfully used for overcoming class A β-lactamase-mediated resistance. However, none of the inhibitors effective against class B, C or D β-lactamases are available in the clinic, which alarms an urgent need to discover/design broad-spectrum β-lactamase inhibitors or new β-lactam antibiotics capable of evading bacterial enzymatic inactivation. In recent years, inhibitors targeted to serine β-lactamases have been developed rapidly with a few of them under clinical trials. In contrast, none promising class B β-lactamase (metallo-β-lactamase) inhibitors with good druggability have been discovered, despite the increasing number of active molecules reported. In this review, we summarized the potential β-lactamase inhibitors reported in recent years and updated the current status of β-lactamase inhibitor discovery.