3 papers
math.DS2025
Predator-prey models: a review on some recent adaptations
Ãrika Diz-Pita, M. Victoria Otero-Espinar
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…
math.DS2025
Planar Kolmogorov systems with infinitely many singular points at infinity
Ãrika Diz-Pita, Jaume Llibre, M. Victoria Otero-Espinar
We classify the global dynamics of the five-parameter family of planar Kolmogorov systems \begin{equation*} \begin{split} \dot{y}&=y \left( b_0+ b_1 y z + b_2 y + b_3 z\right), \do…
math.DS2025
Phase portraits of a family of Kolmogorov systems depending on six parameters
Ãrika Diz-Pita, Jaume Llibre, M. Victoria Otero-Espinar
Consider a general -dimensional Lotka-Volterra system with a rational first integral of degree two of the form . The restriction of this Lotka-Volterra system to…