In recent years, predator–prey systems have increased their applications and have given
rise to systems which represent more accurately different biological issues that appear in the …

The global centers started to be studied seriously at the end of the XX century. In the last
decades, the generalized polynomial Liénard differential systems have been studied …

A centre of a differential system in the plane R 2 is a singular point p having a
neighbourhood U such that U∖{p} is filled of periodic orbits. A global centre is a centre p …

In this document we review a geometric technique, called\emph {the blow-up method}, as it
has been used to analyze and understand the dynamics of fast-slow systems around non …

In this paper we use the blowup method of Dumortier and Roussarie, in the formulation due
to Krupa and Szmolyan, to study the regularization of singularities of piecewise smooth …

In the last years, predator-prey systems have increased their applications and have given
rise to systems which represent more accurately different biological issues that appear in the …

In this article, we conduct a systematic study of the integrability and dynamics of the PB
equation in plane, cylinder and sphere geometries. Specifically, for the PB equation with …

We classify the global dynamics of a family of Kolmogorov systems depending on three
parameters which has ecological meaning as it modelizes a predator–prey system. We …

Traveling wave solutions for the one-dimensional degenerate parabolic equations are
considered. The purpose of this paper is to classify the nonnegative traveling wave solutions …

The digital era introduces a significant issue concerning the preservation of individuals'
privacy. Each individual has two autonomous traits, privacy concern which indicates how …