Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Time-asymptotic convergence rates towards the discrete evolutionary stable distribution

Wenli Cai, Pierre-Emmanuel Jabin and Hailiang Liu
Mathematical Models and Methods in Applied Sciences 25 (08) 1589 (2015)
https://doi.org/10.1142/S0218202515500426

Preface to the Issue Nonlocal Reaction-Diffusion Equations

M. Alfaro, N. Apreutesei, F. Davidson, et al.
Mathematical Modelling of Natural Phenomena 10 (6) 1 (2015)
https://doi.org/10.1051/mmnp/201510601

Patterns for Competing Populations with Species Specific Nonlocal Coupling

A. Bayliss, V. A. Volpert, M. Alfaro, et al.
Mathematical Modelling of Natural Phenomena 10 (6) 30 (2015)
https://doi.org/10.1051/mmnp/201510604

Patterns and Transitions to Instability in an Intraspecific Competition Model with Nonlocal Diffusion and Interaction

O. Aydogmus, M. Alfaro, N. Apreutesei, F. Davidson and V. Volpert
Mathematical Modelling of Natural Phenomena 10 (6) 17 (2015)
https://doi.org/10.1051/mmnp/201510603

On bounded positive stationary solutions for a nonlocal Fisher–KPP equation

Franz Achleitner and Christian Kuehn
Nonlinear Analysis: Theory, Methods & Applications 112 15 (2015)
https://doi.org/10.1016/j.na.2014.09.004

Modulated traveling fronts for a nonlocal Fisher-KPP equation: A dynamical systems approach

Grégory Faye and Matt Holzer
Journal of Differential Equations 258 (7) 2257 (2015)
https://doi.org/10.1016/j.jde.2014.12.006

Asymptotic behaviour of travelling waves for the delayed Fisher–KPP equation

Arnaud Ducrot and Grégoire Nadin
Journal of Differential Equations 256 (9) 3115 (2014)
https://doi.org/10.1016/j.jde.2014.01.033

Bistable travelling waves for nonlocal reaction diffusion equations

Matthieu Alfaro, Jérôme Coville and Gaël Raoul
Discrete & Continuous Dynamical Systems - A 34 (5) 1775 (2014)
https://doi.org/10.3934/dcds.2014.34.1775

Social-ecological systems as complex adaptive systems: modeling and policy implications

Simon Levin, Tasos Xepapadeas, Anne-Sophie Crépin, et al.
Environment and Development Economics 18 (2) 111 (2013)
https://doi.org/10.1017/S1355770X12000460

Dispersal, Individual Movement and Spatial Ecology

Vitaly Volpert and Vitali Vougalter
Lecture Notes in Mathematics, Dispersal, Individual Movement and Spatial Ecology 2071 331 (2013)
https://doi.org/10.1007/978-3-642-35497-7_12

A relaxation method for one dimensional traveling waves of singular and nonlocal equations

Weiran Sun and Min Tang
Discrete & Continuous Dynamical Systems - B 18 (5) 1459 (2013)
https://doi.org/10.3934/dcdsb.2013.18.1459

Analysis of meshless local radial point interpolation (MLRPI) on a nonlinear partial integro-differential equation arising in population dynamics

Elyas Shivanian
Engineering Analysis with Boundary Elements 37 (12) 1693 (2013)
https://doi.org/10.1016/j.enganabound.2013.10.002

An efficient pseudo‐spectral Legendre–Galerkin method for solving a nonlinear partial integro‐differential equation arising in population dynamics

Farhad Fakhar‐Izadi and Mehdi Dehghan
Mathematical Methods in the Applied Sciences 36 (12) 1485 (2013)
https://doi.org/10.1002/mma.2698

Evolutionary branching patterns in predator-prey structured populations

Marcello Delitala and Tommaso Lorenzi
Discrete & Continuous Dynamical Systems - B 18 (9) 2267 (2013)
https://doi.org/10.3934/dcdsb.2013.18.2267

Travelling Waves in a Nonlocal Reaction-Diffusion Equation as a Model for a Population Structured by a Space Variable and a Phenotypic Trait

Matthieu Alfaro, Jérôme Coville and Gaël Raoul
Communications in Partial Differential Equations 38 (12) 2126 (2013)
https://doi.org/10.1080/03605302.2013.828069

Stability and pattern formation for competing populations with asymmetric nonlocal coupling

M.C. Tanzy, V.A. Volpert, A. Bayliss and M.E. Nehrkorn
Mathematical Biosciences 246 (1) 14 (2013)
https://doi.org/10.1016/j.mbs.2013.09.002

Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect

Shanshan Chen and Junping Shi
Journal of Differential Equations 253 (12) 3440 (2012)
https://doi.org/10.1016/j.jde.2012.08.031

Generalized Transition Waves and Their Properties

Henri Berestycki and François Hamel
Communications on Pure and Applied Mathematics 65 (5) 592 (2012)
https://doi.org/10.1002/cpa.21389

Rapid traveling waves in the nonlocal Fisher equation connect two unstable states

Matthieu Alfaro and Jérôme Coville
Applied Mathematics Letters 25 (12) 2095 (2012)
https://doi.org/10.1016/j.aml.2012.05.006

Evolution of species trait through resource competition

Sepideh Mirrahimi, Benoît Perthame and Joe Yuichiro Wakano
Journal of Mathematical Biology 64 (7) 1189 (2012)
https://doi.org/10.1007/s00285-011-0447-z

Dirac Mass Dynamics in Multidimensional Nonlocal Parabolic Equations

Alexander Lorz, Sepideh Mirrahimi and Benoît Perthame
Communications in Partial Differential Equations 36 (6) 1071 (2011)
https://doi.org/10.1080/03605302.2010.538784

Feedback Stabilization for a Reaction-Diffusion System with Nonlocal Reaction Term

Sebastian Aniţa, Viorel Arnăutu and Smaranda Dodea
Numerical Functional Analysis and Optimization 32 (4) 351 (2011)
https://doi.org/10.1080/01630563.2010.542266

Spectrum of some integro-differential operators and stability of travelling waves

A. Ducrot, M. Marion and V. Volpert
Nonlinear Analysis: Theory, Methods & Applications 74 (13) 4455 (2011)
https://doi.org/10.1016/j.na.2011.04.009

Properness and Topological Degree for Nonlocal Reaction‐Diffusion Operators

N. Apreutesei, V. Volpert and Nobuyuki Kenmochi
Abstract and Applied Analysis 2011 (1) (2011)
https://doi.org/10.1155/2011/629692

Some remarks on the qualitative properties of solutions to a predator-prey model posed on non coincident spatial domains

Arnaud Ducrot, Vincent Guyonne and Michel Langlais
Discrete & Continuous Dynamical Systems - S 4 (1) 67 (2011)
https://doi.org/10.3934/dcdss.2011.4.67

Existence and Asymptotic Properties of Solutions of a Nonlocal Evolution Equation Modeling Cell-Cell Adhesion

Janet Dyson, Stephen A. Gourley, Rosanna Villella-Bressan and Glenn F. Webb
SIAM Journal on Mathematical Analysis 42 (4) 1784 (2010)
https://doi.org/10.1137/090765663

Existence of Waves for a Nonlocal Reaction-Diffusion Equation

I. Demin and V. Volpert
Mathematical Modelling of Natural Phenomena 5 (5) 80 (2010)
https://doi.org/10.1051/mmnp/20105506

Dispersal in a Statistically Structured Population: Fat Tails Revisited

Sergei Petrovskii and Andrew Morozov
The American Naturalist 173 (2) 278 (2009)
https://doi.org/10.1086/595755