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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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Quantifying the behavioural consequences of shark ecotourism

Scientific reports, 2023-09, Vol.13 (1), p.12938-12938, Article 12938

2023

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Discrete epidemic models with two time scales

Advances in difference equations, 2021-10, Vol.2021 (1), Article 478

2021

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Emergent community architecture despite distinct diversity in the global whale shark (Rhincodon typus) epidermal microbiome

Scientific reports, 2023-08, Vol.13 (1), p.12747-12747, Article 12747

2023

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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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Horizontal movements, migration patterns, and population structure of whale sharks in the Gulf of Mexico and northwestern Caribbean sea

PloS one, 2013-08, Vol.8 (8), p.e71883-e71883

2013

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A discrete model of competing species sharing a parasite

Discrete and continuous dynamical systems. Series B, 2020-06, Vol.25 (6), p.2121-2142

2020

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A Time Scales Approach to Coinfection by Opportunistic Diseases

Journal of Applied Mathematics, 2015, Vol.2015 (2015), p.299-308-028

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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Vertical Movements and Patterns in Diving Behavior of Whale Sharks as Revealed by Pop-Up Satellite Tags in the Eastern Gulf of Mexico

PloS one, 2015-11, Vol.10 (11), p.e0142156-e0142156

2015

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An unprecedented aggregation of whale sharks, Rhincodon typus, in Mexican coastal waters of the Caribbean Sea

PloS one, 2011-04, Vol.6 (4), p.e18994-e18994

2011

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Long-term assessment of whale shark population demography and connectivity using photo-identification in the Western Atlantic Ocean

PloS one, 2017-08, Vol.12 (8), p.e0180495-e0180495

2017

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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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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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Feeding anatomy, filter-feeding rate, and diet of whale sharks Rhincodon typus during surface ram filter feeding off the Yucatan Peninsula, Mexico

Zoology (Jena), 2010-08, Vol.113 (4), p.199-212

2010

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St. Helena: An Important Reproductive Habitat for Whale Sharks (Rhincodon typus) in the Central South Atlantic

Frontiers in Marine Science, 2020-11, Vol.7

2020

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Non-linear population discrete models with two time scales: re-scaling of part of the slow process

Advances in difference equations, 2019-09, Vol.2019 (1), Article 401

2019

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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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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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A discrete two time scales model of a size-structured population of parasitized trees

Mathematical biosciences and engineering : MBE, 2024, Vol.21 (9), p.7040-7066

2024

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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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Reduction of discrete‐time infectious disease models

Discrete-time staged progression epidemic models

Quantifying the behavioural consequences of shark ecotourism

Discrete epidemic models with two time scales

Emergent community architecture despite distinct diversity in the global whale shark (Rhincodon typus) epidermal microbiome

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

Horizontal movements, migration patterns, and population structure of whale sharks in the Gulf of Mexico and northwestern Caribbean sea

A discrete model of competing species sharing a parasite

A Time Scales Approach to Coinfection by Opportunistic Diseases

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

Vertical Movements and Patterns in Diving Behavior of Whale Sharks as Revealed by Pop-Up Satellite Tags in the Eastern Gulf of Mexico

An unprecedented aggregation of whale sharks, Rhincodon typus, in Mexican coastal waters of the Caribbean Sea

Long-term assessment of whale shark population demography and connectivity using photo-identification in the Western Atlantic Ocean

2e Conférence internationale d'Alcalá en écologie mathématique

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

Feeding anatomy, filter-feeding rate, and diet of whale sharks Rhincodon typus during surface ram filter feeding off the Yucatan Peninsula, Mexico

St. Helena: An Important Reproductive Habitat for Whale Sharks (Rhincodon typus) in the Central South Atlantic

Non-linear population discrete models with two time scales: re-scaling of part of the slow process

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

Modelling the role of opportunistic diseases in coinfection

A discrete two time scales model of a size-structured population of parasitized trees

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

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