5 papers
An exact structural identity and its normal form consequences in a modified Leslie--Gower model
Roberto Albarrán-García, Martha Alvarez-Ramírez, Marco Polo García-Rivera
Zhao and Zhao (2026) established a codimension-four Bogdanov--Takens singularity in a modified Leslie--Gower predator--prey model through a recursive normal form computation. We sh…
Nonlinear Stability, Resonances, and Singular Reduction in the Unequal-Mass Equilateral Restricted Four-Body Problem
J. Alejandro Zepeda-Ramírez, Martha Álvarez-Ramírez
We study the nonlinear stability of the elliptic equilibrium points , , and in the planar equilateral restricted four-body problem with unequal primary masses. We p…
Hopf-Bautin and homoclinic bifurcations in a Saltzman-Maasch model with cubic feedback
Marco Polo GarcÃa-Rivera, Martha Alvarez-RamÃrez, Hildeberto Jardón-Kojakhmetov
This paper investigates a deterministic variant of the Saltzman-Maasch model for Pleistocene glacial cycles, formulated as a three-dimensional dynamical system with cubic feedback…
Singular bifurcations in a modified Leslie-Gower model
Roberto Albarran GarcÃa, Martha Alvarez-RamÃrez, Hildeberto Jardón-Kojakhmetov
We study a predator-prey system with a generalist Leslie-Gower predator, a functional Holling type II response, and a weak Allee effect on the prey. The prey's population often gro…
Global dynamics and integrability of a Leslie-Gower predator-prey model with linear functional response and generalist predator
Martha Alvarez-RamÃrez, Johanna D. GarcÃa-Saldaña, Mario Medina
We deal with a Leslie-Gower predator-prey model with a generalist or alternating food for predator and linear functional response. Using a topological equivalent polynomial system…