We study a particular class of Lotka-Volterra 3-dimensional systems called May-Leonard systems, which depend on two real parameters a and b, when a + b = -1. For these values of the parameters we shall describe its global ...

We study Lotka-Volterra models with fractional Laplacian. To do this we study in detail the logistic problem and show that the sub-supersolution method works for both the scalar problem and for systems. We apply this method ...

Esta tese está relacionada ao estudo de bifurcações de campos de vetores descontínuos bidimensionais e a compreensão da dinâmica de uma classe de sistemas diferenciais polinomiais tridimensionais. Primeiramente, o trabalho ...

This work is about Fractional Calculus and its applications in biological problems. In the applications we focus on the classical Lotka-Volterra system and into the corresponding fractional order version to examine the ...

In this paper we investigate the role of cross-diffusion in the 3 x 3 Lotka-Volterra competition model. Of particular interest is the existence of non-constant steady states created by cross-diffusion in 3 X 3 systems. A ...

We apply the Lindstedt–Poincaré method to the Lotka–Volterra model and discuss alternative implementations of the approach. By means of an efficient systematic algorithm we obtain an unprecedented number of perturbation ...

We introduce and analyze a spatial Lotka-Volterra competition model with local and nonlocal interactions. We study two alternative classes of nonlocal competition that differ in how each species’ characteristics determine ...