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Estudio y comparación de diversos modelos de depredador-presa
(2018-06-20)
In this work we study different population models of ordinary differential equations of one and two species, respectively. In particular, we study in detail the prey-predator Lotka-Volterra model. We compare the behavior ...
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Desigualdades de Lyapunov para edos con diferentes condiciones de contorno
(2017-06)
The objective of this work is to study the definition and main properties of Lp Lyapunov constants, 1 ≤ p ≤ ∞, for scalar ordinary differential equations with different boundary conditions, although we deal with more ...
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El teorema de Hartman-Grobman
(2020)
The stability theory of di erential equations studies variations in the solutions of Cauchy Problems under small perturbations of initial conditions. The objective of this document is to study a classic result about of ...
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Ecuaciones y sistemas en diferencias. aplicaciones de la dinámica de poblaciones
(2018)
Equations and systems in differences have acquired great relevance with the study and simulation of discrete models in the different disciplines that model and study the discrete systems. Equations in linear differences ...
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Dinámica global de sistemas mutualistas
(2016)
This work is framed within the field of Dynamical Systems and we aim to continue the study of the stability of dynamical systems that we already started on the subjects of “AED” and “MOM”. In this text we investigate the ...
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Ecuación de reacción-difusión. Existencia, unicidad y comportamiento asintótico
(2016)
In this work, the theory of global attractors for parabolics PDEs is studied. We focus on the reaction-diffusion equations and we see as an example the ChaffeeInfante equation. In the first part, we have encompassed elliptic ...
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Estudio de algunos modelos en ecuaciones diferenciales relacionados con las terapias y las células madres
(2018)
The aim of this project is to analyze two models of ordinary differential equations with applications in medicine, particularly in the stem cells behaviour. The first model, introduced by Vladimir A. Kuznetsov & Mark A. ...
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Ecología matemática: Dinámica estructural en el modelo Lotka-Volterra
(2022-06-22)
This work studies the dynamic of mutualistic ecosystems via Lotka-Volterra model. After exploring the existence and uniqueness of positive solutions, several properties of globally stable equilibrium are shown using the ...
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