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Reduction of discrete‐time infectious disease models

Mathematical methods in the applied sciences, 2023-08, Vol.46 (12), p.12454-12472

Bravo de la Parra, Rafael

2023

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Discrete-time staged progression epidemic models

Mathematical and computer modelling of dynamical systems, 2024-12, Vol.30 (1), p.496-522

2024

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The role of manipulative trophically transmitted parasites in the stability of a predator–prey community

Nonlinear analysis: real world applications, 2024-10, Vol.79, p.104123, Article 104123

2024

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A Time Scales Approach to Coinfection by Opportunistic Diseases

Journal of Applied Mathematics, 2015, Vol.2015, p.1-10

2015

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Coexistence and superior competitor exclusion in the Leslie–Gower competition model with fast dispersal

Ecological modelling, 2015-06, Vol.306, p.247-256

2015

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Mathematical modeling of biological systems: epidemiology, evolution and ecology, immunology, neural systems and the brain, and innovative mathematical methods

9780817645564

2007

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2e Conférence internationale d'Alcalá en écologie mathématique

Comptes rendus. Biologies, 2005-04, Vol.328 (4), p.299

2005

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Modelling the role of opportunistic diseases in coinfection

Mathematical modelling of natural phenomena, 2018-01, Vol.13 (3), p.28

2018

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Competition and species coexistence in a metapopulation model: Can fast asymmetric migration reverse the outcome of competition in a homogeneous environment?

Journal of theoretical biology, 2010-09, Vol.266 (2), p.256-263

2010

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Stochastic matrix metapopulation models with fast migration: Re-scaling survival to the fast scale

Ecological modelling, 2020-02, Vol.418, p.108829, Article 108829

2020

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Effects of density-dependent migrations on stability of a two-patch predator–prey model

Mathematical biosciences, 2007-11, Vol.210 (1), p.335-354

2007

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Mathematical analysis of a population model with an age–weight structured two-stage life history: asymptotic behavior of solutions

Journal of evolution equations, 2014, Vol.14 (3), p.603-616

2014

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An analytical model of stand dynamics as a function of tree growth, mortality and recruitment: The shade tolerance-stand structure hypothesis revisited

Journal of theoretical biology, 2007-02, Vol.244 (3), p.440-450

2007

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Mathematical study of a bacteria–fish model with level of infection structure

Nonlinear analysis: real world applications, 2009-06, Vol.10 (3), p.1662-1678

2009

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Approximate aggregation of linear discrete models with two time scales: re-scaling slow processes to the fast scale

Journal of difference equations and applications, 2011-04, Vol.17 (4), p.621-635

2011

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Scaling up tree growth to assess forest resilience under increasing aridity: the case of Iberian dry-edge pine forests

Landscape ecology, 2024, Vol.39 (1), p.6, Article 6

2024

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Approximate reduction of multiregional models with environmental stochasticity

Mathematical biosciences, 2007-03, Vol.206 (1), p.134-154

2007

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Alcalá 2nd International Conference on Mathematical Ecology (AICME II)

Mathematical biosciences, 2007-03, Vol.206 (1), p.1-2

Bravo de la Parra, Rafael

2007

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The Effect of Connecting Sites in the Environment of a Harvested Population

Mathematical modelling of natural phenomena, 2023, Vol.18, p.4

2023

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2 e Conférence internationale d'Alcalá en écologie mathématique

Comptes rendus. Biologies, 2005, Vol.328 (4), p.299-299

2005

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Mathematical Modeling of Biological Systems, Volume II: Epidemiology, Evolution and Ecology, Immunology, Neural Systems and the Brain, and Innovative Mathematical Methods

1. Aufl., 2007

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A Singular Perturbation in an Age-Structured Population Model

SIAM journal on applied mathematics, 2000-01, Vol.60 (2), p.408-436

2000

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Migration Frequency and the Persistence of Host-Parasitoid Interactions

Journal of theoretical biology, 2003-04, Vol.221 (4), p.639-654

2003

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Reduction of Nonautonomous Population Dynamics Models with Two Time Scales

Acta biotheoretica, 2014-09, Vol.62 (3), p.285-303

2014

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Aggregation methods in dynamical systems and applications in population and community dynamics

Physics of life reviews, 2008-06, Vol.5 (2), p.79-105

2008

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Reduction of discrete‐time infectious disease models

Discrete-time staged progression epidemic models

The role of manipulative trophically transmitted parasites in the stability of a predator–prey community

A Time Scales Approach to Coinfection by Opportunistic Diseases

Coexistence and superior competitor exclusion in the Leslie–Gower competition model with fast dispersal

Mathematical modeling of biological systems: epidemiology, evolution and ecology, immunology, neural systems and the brain, and innovative mathematical methods

2e Conférence internationale d'Alcalá en écologie mathématique

Modelling the role of opportunistic diseases in coinfection

Competition and species coexistence in a metapopulation model: Can fast asymmetric migration reverse the outcome of competition in a homogeneous environment?

Stochastic matrix metapopulation models with fast migration: Re-scaling survival to the fast scale

Effects of density-dependent migrations on stability of a two-patch predator–prey model

Mathematical analysis of a population model with an age–weight structured two-stage life history: asymptotic behavior of solutions

An analytical model of stand dynamics as a function of tree growth, mortality and recruitment: The shade tolerance-stand structure hypothesis revisited

Mathematical study of a bacteria–fish model with level of infection structure

Approximate aggregation of linear discrete models with two time scales: re-scaling slow processes to the fast scale

Scaling up tree growth to assess forest resilience under increasing aridity: the case of Iberian dry-edge pine forests

Approximate reduction of multiregional models with environmental stochasticity

Alcalá 2nd International Conference on Mathematical Ecology (AICME II)

The Effect of Connecting Sites in the Environment of a Harvested Population

2 e Conférence internationale d'Alcalá en écologie mathématique

Mathematical Modeling of Biological Systems, Volume II: Epidemiology, Evolution and Ecology, Immunology, Neural Systems and the Brain, and Innovative Mathematical Methods

A Singular Perturbation in an Age-Structured Population Model

Migration Frequency and the Persistence of Host-Parasitoid Interactions

Reduction of Nonautonomous Population Dynamics Models with Two Time Scales

Aggregation methods in dynamical systems and applications in population and community dynamics

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