Flux-limited Keller-Segel (FLKS) model has been recently derived from kinetic transport models for bacterial chemotaxis and shown to represent better the collective movement observed experimentally. Recently, associated to the kinetic model, a new instability formalism has been discovered related to stiff chemotactic response. This motivates our study of traveling wave and aggregation in popula...

We first prove that the minimum and maximum traveling salesman problems, their metric versions as well as some versions defined on parameterized triangle inequalities (called sharpened and relaxed metric traveling salesman) are all equi-approximable under an approximation measure, called differential-approximation ratio, that measures how the value of an approximate solution is placed in the in...

Traveling is not just a means for moving about; traveling is a pleasure. There are few people who do not like to travel. Traveling can mean visiting your family just a few miles away, and traveling can mean going around the world. But deep down, it is all the same: traveling. One of the oldest known examples is that of Herodotus, who traveled around the known world of the time, observing and re...

We discuss the behavior of rotating and traveling waves { such as traveling fronts and pulses { in partial diierential equations with continuous symmetry groups under perturbations that break the continuous symmetries but preserve some discrete (lattice) symmetries. Our theory provides a rigorous and universal framework for understanding pinning, depinning and locking of discrete rotating and t...

today, organizations continuously try to find the ways to gain loyal customers because of their advantages. customer to customer interactions has attracted more attention among marketers in which customer-to-customer interactions has been known as one of the most important methods of creating loyal customers. the present paper seeks to propose a service model developed in traveling and tourism ...

in this paper, we present the stochastic version of maximal covering location problem which optimizes both location and allocation decisions, concurrently. it’s assumed that traveling time between customers and distribution centers (dcs) is uncertain and described by normal distribution function and if this time is less than coverage time, the customer can be allocated to dc. in classical model...