Asymptotic estimates for the spatial segregation of competitive systems (original) (raw)

Spatial segregation limit of a competition–diffusion system

Lambertus Peletier

European Journal of Applied Mathematics, 1999

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Spatial segregation limit of a non-autonomous competition–diffusion system

Zuhan Liu

2012

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Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions

Danielle Hilhorst

Nonlinear Analysis: Real World Applications, 2004

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Fast reaction limit and long time behavior for a competition-diffusion system with Dirichlet boundary conditions

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Discrete and Continuous Dynamical Systems - Series B, 2007

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Singular limit of a competition–diffusion system with large interspecific interaction

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Journal of Mathematical Analysis and Applications, 2012

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A remark on the global asymptotic stability of a dynamical system modeling two species competition

Sean Ellermeyer

Hiroshima Mathematical Journal, 1994

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Lecture Notes on the Singular Limit of Reaction-diffusion Systems

Danielle Hilhorst

Interdisciplinary Information Sciences, 2023

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Singular Limit of a Spatially Inhomogeneous Lotka–Volterra Competition–Diffusion System

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Communications in Partial Differential Equations, 2007

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NUMERICAL ALGORITHM FOR SPATIAL SEGREGATION OF COMPETITIVE SYSTEMS

Farid Bozorgnia

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On a competitive system with ideal free dispersal

Chris Cosner

Journal of Differential Equations, 2018

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The evolutionary limit for models of populations interacting competitively via several resources

Nicolas Champagnat

Journal of Differential Equations, 2011

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Limiting profiles of semilinear elliptic equations with large advection in population dynamics

Wei-Ming Ni

Discrete & Continuous Dynamical Systems - A, 2010

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Spiraling Asymptotic Profiles of Competition‐Diffusion Systems

Susanna Terracini

Communications on Pure and Applied Mathematics, 2019

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Limiting behavior for several interacting populations

Anthony Leung

Mathematical Biosciences, 1976

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Uniqueness Result for Long Range Spatially Segregation Elliptic System

Farid Bozorgnia

Acta Applicandae Mathematicae

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Limiting behaviour for a prey-predator model with diffusion and crowding effects

Anthony Leung

Journal of Mathematical Biology, 1978

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Instability of non-constant equilibrium solutions of a system of competition-diffusion equations

Kazuo Kishimoto

Journal of Mathematical Biology, 1981

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Realization of prescribed patterns in the competition model

Yihong Du

Journal of Differential Equations, 2003

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On the convergence of numerical algorithm of a class of the spatial segregation of reaction-diffusion system with two population densities

Avetik Arakelyan

2013

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Global behavior of N competing species with strong diffusion: diffusion leads to exclusion

Sten Madec

Applicable Analysis, 2015

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A numerical approach for a general class of the spatial segregation of reaction–diffusion systems arising in population dynamics

Avetik Arakelyan

Computers & Mathematics with Applications, 2016

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Coexistence problem for two competing species models with density-dependent diffusion

Alberto Tesei

Hiroshima Mathematical Journal - HIROSHIMA MATH J, 1984

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On interacting populations that disperse to avoid crowding: preservation of segregation

Danielle Hilhorst

Journal of Mathematical Biology, 1985

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Conditions for permanence in well-known biological competition models

John Norbury

The ANZIAM Journal, 2000

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Dynamics of strongly competing systems with many species

Edward Dancer

Transactions of the American Mathematical Society, 2012

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On a competitive system under chemotactic effects with non-local terms

J.Ignacio Tello

Nonlinearity, 2013

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Spatial segregation limit of traveling wave solutions for a fully nonlinear strongly coupled competitive system

Danielle Hilhorst

2020

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Competing species systems with diffusion and large interactions

Norman Dancer

Rendiconti del Seminario Matematico e Fisico di Milano, 1995

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On the Rate of Convergence of Solutions for a System of Difference Equations in the Modeling Competitive Populations

Mehmet Gümüş

Far East Journal of Applied Mathematics, 2017

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Spatial populations with seed-bank: well-posedness, duality and equilibrium

Andreas Greven

Electronic Journal of Probability

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A diffusive competition model with a protection zone

Yihong Du

Journal of Differential Equations, 2008

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The Evolution of States in a Spatial Population Model

Yuri Kondratiev

Journal of Dynamics and Differential Equations, 2016

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Dynamics of heterogeneous population due to spatially distributed parameters and an ideal free pair

ishrat zahan

Frontiers in Applied Mathematics and Statistics

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Singularly Perturbed Elliptic System Modeling the Competitive Interactions for a Single Resource

Sten Madec

Mathematical Models and Methods in Applied Sciences, 2013

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Long-term coexistence for a competitive system of spatially varying gradient reaction–diffusion equations

John Norbury, Graeme C Wake

Nonlinear Analysis: Real World Applications, 2009

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