Aggregation of Variables and Applications to Population Dynamics
暂无分享,去创建一个
Tri Nguyen-Huu | Pierre Auger | Jean-Christophe Poggiale | Eva Sánchez | R. Bravo de la Parra | P. Auger | J. Poggiale | T. Nguyen-Huu | E. Sánchez | R. B. Parra
[1] Peter W. Bates,et al. Existence and Persistence of Invariant Manifolds for Semiflows in Banach Space , 1998 .
[2] Marten Scheffer,et al. Seasonal dynamics of Daphnia and algae explained as a periodically forced predator-prey system , 1997 .
[3] Pierre Auger,et al. Time Scales in Density Dependent Discrete Models , 1997 .
[4] P Auger,et al. Emergence of population growth models: fast migration and slow growth. , 1996, Journal of theoretical biology.
[5] É. Benoît. Chasse au canard , 1980 .
[6] P. Auger,et al. Ecotoxicology and spatial modeling in population dynamics: An illustration with brown trout , 2003, Environmental toxicology and chemistry.
[7] P Auger,et al. Behavioral choices based on patch selection: a model using aggregation methods. , 1999, Mathematical biosciences.
[8] Pierre Auger,et al. Complex ecological models with simple dynamics: From individuals to populations , 1994 .
[9] Eva Sánchez,et al. Aggregation methods in population dynamics discrete models , 1998 .
[10] R. de la Parra,et al. Variables Aggregation in Time Varying Discrete Systems , 1998 .
[11] Peter W. Bates,et al. Invariant foliations near normally hyperbolic invariant manifolds for semiflows , 2000 .
[12] P. Auger,et al. Linear Discrete Population Models with Two Time Scales in Fast Changing Environments I: Autonomous Case , 2001, Acta biotheoretica.
[13] J. Poggiale. Lotka-Volterra's model and migrations: Breaking of the well-known center , 1998 .
[14] N. Kryloff,et al. Application of methods of nonlinear mechanics in the theory of stationary oscilations , 1935 .
[15] J. Poggiale. From behavioural to population level: Growth and competition , 1998 .
[16] P. Auger,et al. Effects of asymmetric dispersal and environmental gradients on the stability of host–parasitoid systems , 2005 .
[17] Josef Hofbauer,et al. Evolutionary Games and Population Dynamics , 1998 .
[18] P. Auger,et al. Integrative biology: linking levels of organization. , 2003, Comptes rendus biologies.
[19] N. Rashevsky,et al. Mathematical biology , 1961, Connecticut medicine.
[20] P. Auger,et al. Migration frequency and the persistence of host-parasitoid interactions. , 2003, Journal of theoretical biology.
[21] Luis Sanz,et al. The Reliability of Approximate Reduction Techniques in Population Models with Two Time Scales , 2002, Acta biotheoretica.
[22] Bob W. Kooi,et al. Aggregation methods in food chains , 1998 .
[23] Christopher K. R. T. Jones,et al. A Primer on the Exchange Lemma for Fast-Slow Systems , 2001 .
[24] A discrete model with density dependent fast migration. , 1999, Mathematical biosciences.
[25] Pierre Auger,et al. Predator Migration Decisions, the Ideal Free Distribution, and Predator‐Prey Dynamics , 1999, The American Naturalist.
[26] R. B. Parra,et al. Approximate reduction of nonlinear discrete models with two time scales , 2008 .
[27] J. Gaillard,et al. Effect of aggressive behaviour on age-structured population dynamics , 2006 .
[28] A model of an age-structured population in a multipatch environment , 1998 .
[29] Bifurcation analysis of a predator-prey model with predators using hawk and dove tactics. , 2006, Journal of theoretical biology.
[30] É. Benoît,et al. Canards et enlacements , 1990 .
[31] Predator-prey models in heterogeneous environment: Emergence of functional response , 1998 .
[32] Luis Perez Sanz,et al. Time scales in stochastic multiregional models , 2000 .
[33] P. Auger,et al. Annual spawning migrations in modelling brown trout population dynamics inside an arborescent river network , 2000 .
[34] A model for an age-structured population with two time scales , 2000 .
[35] Leah Edelstein-Keshet,et al. Mathematical models in biology , 2005, Classics in applied mathematics.
[36] P. Auger,et al. Time scales in linear delayed differential equations , 2006 .
[37] Michael Shub,et al. The local theory of normally hyperbolic, invariant, compact manifolds , 1977 .
[38] Pierre Auger,et al. AGGREGATION METHODS IN DISCRETE MODELS , 1995 .
[39] P. Auger,et al. AGGREGATION, EMERGENCE AND IMMERGENCE IN HIERARCHICALLY ORGANIZED SYSTEMS , 1999 .
[40] P. Auger,et al. Dynamics of a fishery on two fishing zones with fish stock dependent migrations: aggregation and control , 2002 .
[41] J. Carr. Applications of Centre Manifold Theory , 1981 .
[42] Pierre Auger,et al. A PREY-PREDATOR MODEL IN A MULTI-PATCH ENVIRONMENT WITH DIFFERENT TIME SCALES , 1993 .
[43] Pierre Auger,et al. A density dependent model describing Salmo trutta population dynamics in an arborescent river network. Effects of dams and channelling , 1998 .
[44] A. J. Lotka. Elements of Physical Biology. , 1925, Nature.
[45] Pierre Auger,et al. FAST OSCILLATING MIGRATIONS IN A PREDATOR-PREY MODEL , 1996 .
[46] A. J. Lotka. UNDAMPED OSCILLATIONS DERIVED FROM THE LAW OF MASS ACTION. , 1920 .
[47] Luis Sanz,et al. Approximate reduction of multiregional models with environmental stochasticity. , 2007, Mathematical biosciences.
[48] L. Sanz,et al. TIME SCALES IN A NON-AUTONOMOUS LINEAR DISCRETE MODEL , 2001 .
[49] Pierre Auger,et al. Linear discrete models with different time scales , 1995 .
[50] P Auger,et al. Methods of aggregation of variables in population dynamics. , 2000, Comptes rendus de l'Academie des sciences. Serie III, Sciences de la vie.
[51] S Rinaldi,et al. Singular homoclinic bifurcations in tritrophic food chains. , 1998, Mathematical biosciences.
[52] P. Auger,et al. Effect of movement frequency on global host–parasitoid spatial dynamics with unstable local dynamics , 2006 .
[53] Ovide Arino,et al. A Singular Perturbation in an Age-Structured Population Model , 1999, SIAM J. Appl. Math..
[54] P. Auger,et al. USING AGGREGATION METHODS TO ASSESS TOXICANT EFFECTS ON POPULATION DYNAMICS IN SPATIAL SYSTEMS , 2002 .
[55] P Auger,et al. Fast game theory coupled to slow population dynamics: the case of domestic cat populations. , 1998, Mathematical biosciences.
[56] P. Auger,et al. Assessing the effect of habitat fragmentation on population dynamics: An implicit modelling approach , 2006 .
[57] Pierre Auger,et al. Aggregation and emergence in hierarchically organized systems: population dynamics , 1996 .
[58] Kunimochi Sakamoto,et al. Invariant manifolds in singular perturbation problems for ordinary differential equations , 1990, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[59] Pierre Auger,et al. EMERGING PROPERTIES IN POPULATION DYNAMICS WITH DIFFERENT TIME SCALES , 1995 .
[60] Pierre Auger,et al. Effect of predator density dependent dispersal of prey on stability of a predator-prey system. , 2007, Mathematical biosciences.
[61] J. Callot,et al. Chasse au canard , 1977 .
[62] Robert M. May,et al. The spatial dynamics of host-parasitoid systems , 1992 .
[63] Yoh Iwasa,et al. Aggregation in Model Ecosystems II. Approximate Aggregation , 1989 .
[64] Pierre Auger. Dynamics and thermodynamics in hierarchically organized systems : applications in physics, biology, and economics , 1989 .
[65] R Bravo de la Parra,et al. Variables aggregation in a time discrete linear model. , 1999, Mathematical biosciences.
[66] Pierre Auger,et al. Aggregation and emergence in systems of ordinary differential equations , 1998 .
[67] P. Auger,et al. Emergence of individual behaviour at the population level. Effects of density-dependent migration on population dynamics. , 2000, Comptes rendus de l'Academie des sciences. Serie III, Sciences de la vie.
[68] P Flammarion,et al. Do migratory or demographic disruptions rule the population impact of pollution in spatial networks? , 2003, Theoretical population biology.
[69] Pierre Auger,et al. Aggregation and emergence in ecological modelling: integration of ecological levels , 2000 .
[70] Freddy Dumortier,et al. Canard Cycles and Center Manifolds , 1996 .
[71] P. Auger,et al. Spatial synchrony in host-parasitoid models using aggregation of variables. , 2006, Mathematical biosciences.
[72] Pierre Auger,et al. Impact of spatial heterogeneity on a predator-prey system dynamics. , 2004, Comptes rendus biologies.
[73] Sergio Rinaldi,et al. Low- and high-frequency oscillations in three-dimensional food chain systems , 1992 .
[74] R. Arditi,et al. Emergence of donor control in patchy predator—prey systems , 1998 .
[75] P. Auger,et al. Perturbations of the classical Lotka-Volterra system by behavioral sequences , 1995 .
[76] P. Holgate,et al. Matrix Population Models. , 1990 .
[77] Marten Scheffer,et al. Implications of spatial heterogeneity for the paradox of enrichment , 1995 .
[78] Y. Iwasa,et al. Aggregation in model ecosystems. I. Perfect aggregation , 1987 .
[79] G. Stewart,et al. Matrix Perturbation Theory , 1990 .
[80] A. Nicholson,et al. Supplement: the Balance of Animal Populations , 1933 .
[81] S. Wiggins. Normally Hyperbolic Invariant Manifolds in Dynamical Systems , 1994 .
[82] P. Auger,et al. The stabilizability of a controlled system describing the dynamics of a fishery. , 2005, Comptes rendus biologies.
[83] Pierre Auger,et al. Hawk-dove game and competition dynamics , 1998 .
[84] Neil Fenichel. Persistence and Smoothness of Invariant Manifolds for Flows , 1971 .
[85] A. Nicholson,et al. The Balance of Animal Populations.—Part I. , 1935 .
[86] Pierre Auger,et al. Macroscopic Dynamic Effects of Migrations in Patchy Predator-prey Systems , 1997 .
[87] Influence of Individual Aggressiveness on the Dynamics of Competitive Populations , 1997, Acta biotheoretica.
[88] P. Auger,et al. A predator-prey model with predators using hawk and dove tactics. , 2002, Mathematical biosciences.
[89] F. Dumortier,et al. Geometric Singular Perturbation Theory Beyond Normal Hyperbolicity , 2001 .
[90] P. Auger,et al. Population Dynamics Modelling in an Hierarchical Arborescent River Network: An Attempt with Salmo trutta , 1998 .
[91] G. Sell,et al. Perturbations of normally hyperbolic manifolds with applications to the Navier-Stokes equations , 1999 .