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1

A Singular Perturbation in an Age-Structured Population Model

Sánchez, Eva, Arino, Ovide, Auger, Pierre, de la Parra, Rafael Bravo

Journal:

SIAM Journal on Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 469 KB

english, 2000

2

A Singular Perturbation in an Age-Structured Population Model

Ovide Arino, Eva Sanchez, Rafael Bravo de la Parra and Pierre Auger

Journal:

SIAM Journal on Applied Mathematics

Year:

1999-2000

Language:

english

File:

PDF, 565 KB

english, 1999-2000

3

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

Sanz, Luis, Bravo de la Parra, Rafael

Journal:

Ecological Modelling

Year:

2020

File:

PDF, 1.82 MB

2020

4

Migration Frequency and the Persistence of Host-Parasitoid Interactions

CHRISTOPHE LETT, PIERRE AUGER, RAFAEL BRAVO DE LA PARRA

Journal:

Journal of Theoretical Biology

Year:

2003

Language:

english

File:

PDF, 466 KB

english, 2003

5

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

Doanh Nguyen Ngoc, Rafael Bravo de la Parra, Miguel A. Zavala, Pierre Auger

Journal:

Journal of Theoretical Biology

Year:

2010

Language:

english

File:

PDF, 864 KB

english, 2010

6

Time scales in stochastic multiregional models

Luis Sanz, Rafael Bravo de la Parra

Journal:

Nonlinear Analysis: Real World Applications

Year:

2000

Language:

english

File:

PDF, 221 KB

english, 2000

7

Time scales in linear delayed differential equations

Eva Sánchez, Rafael Bravo de la Parra, Pierre Auger, Pablo Gómez-Mourelo

Journal:

Journal of Mathematical Analysis and Applications

Year:

2006

Language:

english

File:

PDF, 188 KB

english, 2006

8

Bifurcation analysis of a predator–prey model with predators using hawk and dove tactics

Pierre Auger, Bob W. Kooi, Rafael Bravo de la Parra, Jean-Christophe Poggiale

Journal:

Journal of Theoretical Biology

Year:

2006

Language:

english

File:

PDF, 261 KB

english, 2006

9

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

Miguel A. Zavala, Óscar Angulo, Rafael Bravo de la Parra, Juan C. López-Marcos

Journal:

Journal of Theoretical Biology

Year:

2007

Language:

english

File:

PDF, 279 KB

english, 2007

10

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

Abdelaziz Kacha, My Hassan Hbid, Rafael Bravo de la Parra

Journal:

Nonlinear Analysis: Real World Applications

Year:

2009

Language:

english

File:

PDF, 948 KB

english, 2009

11

Influence of Individual Aggressiveness on the Dynamics of Competitive Populations

Eva Sanchez, Pierre Auger, Rafael Bravo de la Parra

Journal:

Acta Biotheoretica

Year:

1997

File:

PDF, 389 KB

1997

12

Variables Aggregation in Time Varying Discrete Systems

Luis Sanz, Rafael Bravo de la Parra

Journal:

Acta Biotheoretica

Year:

1998

File:

PDF, 1012 KB

1998

13

Linear Discrete Population Models with Two Time Scales in Fast Changing Environments I: Autonomous Case

Ángel Blasco, Luis Sanz, Pierre Auger, Rafael Bravo de la Parra

Journal:

Acta Biotheoretica

Year:

2001

File:

PDF, 500 KB

2001

14

Linear Discrete Population Models with Two Time Scales in Fast Changing Environments II: Non-Autonomous Case

Ángel Blasco, Luis Sanz, Pierre Auger, Rafael Bravo de la Parra

Journal:

Acta Biotheoretica

Year:

2002

File:

PDF, 310 KB

2002

15

The Reliability of Approximate Reduction Techniques in Population Models with Two Time Scales

Luis Sanz, Rafael Bravo de la Parra

Journal:

Acta Biotheoretica

Year:

2002

Language:

english

File:

PDF, 344 KB

english, 2002

16

Theoretical ecology and mathematical modelling: Problems and methods

Rafael Bravo de la Parra, Jean-Christophe Poggiale

Journal:

Ecological Modelling

Year:

2005

Language:

english

File:

PDF, 99 KB

english, 2005

17

2e Conférence internationale d'Alcalá en écologie mathématique

Pierre Auger, Rafael Bravo de la Parra

Journal:

Comptes Rendus Biologies

Year:

2005

File:

PDF, 51 KB

2005

18

Approximate reduction of multiregional models with environmental stochasticity

Luis Sanz, Rafael Bravo de la Parra

Journal:

Mathematical Biosciences

Year:

2007

Language:

english

File:

PDF, 268 KB

english, 2007

19

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

Rafael Bravo de la Parra

Journal:

Mathematical Biosciences

Year:

2007

Language:

english

File:

PDF, 67 KB

english, 2007

20

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

Abderrahim El Abdllaoui, Pierre Auger, Bob W. Kooi, Rafael Bravo de la Parra, Rachid Mchich

Journal:

Mathematical Biosciences

Year:

2007

Language:

english

File:

PDF, 466 KB

english, 2007

21

A predator–prey model with predators using hawk and dove tactics

Pierre Auger, Rafael Bravo de la Parra, Serge Morand, Eva Sánchez

Journal:

Mathematical Biosciences

Year:

2002

Language:

english

File:

PDF, 183 KB

english, 2002

22

A mathematical model of growth of population of fish in the larval stage: Density-dependence effects

Ovide Arino, My Lhassan Hbid, Rafael Bravo de la Parra

Journal:

Mathematical Biosciences

Year:

1998

Language:

english

File:

PDF, 158 KB

english, 1998

23

Variables aggregation in a time discrete linear model

Luis Sanz, Rafael Bravo de la Parra

Journal:

Mathematical Biosciences

Year:

1999

Language:

english

File:

PDF, 272 KB

english, 1999

24

A discrete model with density dependent fast migration

Rafael Bravo de la Parra, Eva Sánchez, Ovide Arino, Pierre Auger

Journal:

Mathematical Biosciences

Year:

1999

Language:

english

File:

PDF, 178 KB

english, 1999

25

The impact of behavioral plasticity at individual level on domestic cat population dynamics

Dominique Pontier, Pierre Auger, Rafael Bravo de la Parra, Eva Sánchez

Journal:

Ecological Modelling

Year:

2000

Language:

english

File:

PDF, 97 KB

english, 2000

26

Methods of aggregation of variables in population dynamics

Pierre Auger, Rafael Bravo de la Parra

Journal:

Comptes Rendus de l'Académie des Sciences - Series III - Sciences de la Vie

Year:

2000

File:

PDF, 148 KB

2000

27

A density dependent model describing Salmo trutta population dynamics in an arborescent river network. Effects of dams and channelling

Sandrine Charles, Rafael Bravo de la Parra, Jean-Paul Mallet, Henri Persat, Pierre Auger

Journal:

Comptes Rendus de l'Académie des Sciences - Series III - Sciences de la Vie

Year:

1998

File:

PDF, 897 KB

1998

28

INTRODUCTION TO SPECIAL ISSUE : ALCALÆ FIRST INTERNATIONAL CONFERENCE ON MATHEMATICAL ECOLOGY (AICME)

Ovide Arino, Rafael Bravo de la Parra

Journal:

Natural Resource Modeling

Year:

2001

Language:

english

File:

PDF, 46 KB

english, 2001

29

INTRODUCTION TO SPECIAL ISSUE : ALCALÁ FIRST INTERNATIONAL CONFERENCE ON MATHEMATICAL ECOLOGY (AICME)

Ovide Arino, Rafael Bravo de la Parra

Journal:

Natural Resource Modeling

Year:

2001

Language:

english

File:

PDF, 49 KB

english, 2001

30

Mathematical Modeling of Biological Systems, Volume II || Dynamics of Neural Fields with Distributed Transmission Speeds

Deutsch, Andreas, Parra, Rafael Bravo de la, Boer, Rob J. de, Diekmann, Odo, Jagers, Peter, Kisdi, Eva, Kretzschmar, Mirjam, Lansky, Petr, Metz, Hans

Year:

2008

Language:

english

File:

PDF, 387 KB

english, 2008

31

Mathematical Modeling of Biological Systems, Volume II || Th1–Th2 Regulation and Allergy: Bifurcation Analysis of the Non-Autonomous System

Deutsch, Andreas, Parra, Rafael Bravo de la, Boer, Rob J. de, Diekmann, Odo, Jagers, Peter, Kisdi, Eva, Kretzschmar, Mirjam, Lansky, Petr, Metz, Hans

Year:

2008

Language:

english

File:

PDF, 336 KB

english, 2008

32

Mathematical Modeling of Biological Systems, Volume II || The Periodical Population Dynamics of Lottery Models Including the Effect of Undeveloped Seeds

Deutsch, Andreas, Parra, Rafael Bravo de la, Boer, Rob J. de, Diekmann, Odo, Jagers, Peter, Kisdi, Eva, Kretzschmar, Mirjam, Lansky, Petr, Metz, Hans

Year:

2008

Language:

english

File:

PDF, 302 KB

english, 2008

33

Stand dynamics and tree coexistence in an analytical structured model: The role of recruitment

Angulo, Óscar, Bravo de la Parra, Rafael, López-Marcos, Juan C., Zavala, Miguel A.

Journal:

Journal of Theoretical Biology

Year:

2013

Language:

english

File:

PDF, 652 KB

english, 2013

34

Reduction of Nonautonomous Population Dynamics Models with Two Time Scales

Marvá, Marcos, Bravo de la Parra, Rafael

Journal:

Acta Biotheoretica

Year:

2014

Language:

english

File:

PDF, 813 KB

english, 2014

35

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

Nguyen-Huu, Tri, Bravo de la Parra, Rafael, Auger, Pierre

Journal:

Journal of Difference Equations and Applications

Year:

2010

Language:

english

File:

PDF, 262 KB

english, 2010

36

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

Marvá, Marcos, de la Parra, Rafael Bravo

Journal:

Ecological Modelling

Year:

2015

Language:

english

File:

PDF, 890 KB

english, 2015

37

BEHAVIORAL DYNAMICS OF TWO INTERACTING HAWK–DOVE POPULATIONS

AUGER, PIERRE, PARRA, RAFAEL BRAVO DE LA, SÁNCHEZ, EVA

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2001

Language:

english

File:

PDF, 685 KB

english, 2001

38

APPROXIMATE REDUCTION OF MULTI-TYPE GALTON–WATSON PROCESSES WITH TWO TIME SCALES

SANZ, LUIS, BLASCO, ÁNGEL, BRAVO DE LA PARRA, RAFAEL

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2003

Language:

english

File:

PDF, 368 KB

english, 2003

39

TIME SCALES IN A NON-AUTONOMOUS LINEAR DISCRETE MODEL

SANZ, LUIS, DE LA PARRA, RAFAEL BRAVO

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2001

Language:

english

File:

PDF, 378 KB

english, 2001

40

Time Scales in Density Dependent Discrete Models

de La Parra, Rafael Bravo, Sánchez, Eva, Auger, Pierre

Journal:

Journal of Biological System

Year:

1997

Language:

english

File:

PDF, 856 KB

english, 1997

41

AGGREGATION METHODS IN DISCRETE MODELS

BRAVO DE LA PARRA, RAFAEL, AUGER, PIERRE, SÁNCHEZ, EVA

Journal:

Journal of Biological System

Year:

1995

Language:

english

File:

PDF, 374 KB

english, 1995

42

STATE-DEPENDENT DELAYS ASSOCIATED TO THRESHOLD PHENOMENA IN STRUCTURED POPULATION DYNAMICS

HBID, MY LHASSAN, SÁNCHEZ, EVA, BRAVO DE LA PARRA, RAFAEL

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2007

Language:

english

File:

PDF, 278 KB

english, 2007

43

A Time Scales Approach to Coinfection by Opportunistic Diseases

Marvá, Marcos, Venturino, Ezio, Bravo de la Parra, Rafael

Journal:

Journal of Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 2.23 MB

english, 2015

44

Modelling the role of opportunistic diseases in coinfection

Marvá, Marcos, Bravo de la Parra, Rafael, Venturino, Ezio, Morozov, A.

Journal:

Mathematical Modelling of Natural Phenomena

Year:

2018

Language:

english

File:

PDF, 851 KB

english, 2018

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