M. Alfaro, N. Apreutesei, F. Davidson, and V. Volpert, Preface to the Issue Nonlocal Reaction-Diffusion Equations, Mathematical Modelling of Natural Phenomena, vol.10, issue.6, pp.1-5, 2015.
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M. Alfaro and J. Coville, Rapid traveling waves in the nonlocal Fisher equation connect two unstable states, Applied Mathematics Letters, vol.25, issue.12, pp.2095-2099, 2012.
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M. Alfaro, J. Coville, and G. , Bistable travelling waves for nonlocal reaction diffusion equations. DCDS A, pp.1775-1791, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00800918

N. Apreutesei, N. Bessonov, V. Volpert, and V. Vougalter, Spatial structures and generalized travelling waves for an integro-differential equation, Discrete and Continuous Dynamical Systems - Series B, vol.13, issue.3, pp.537-557, 2010.
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URL : https://hal.archives-ouvertes.fr/hal-00547574

A. Apreutesei, A. Ducrot, and V. Volpert, Competition of Species with Intra-Specific Competition, Mathematical Modelling of Natural Phenomena, vol.3, issue.4, pp.1-27, 2008.
DOI : 10.1051/mmnp:2008068
URL : https://hal.archives-ouvertes.fr/hal-00385534

N. Apreutesei, A. Ducrot, and V. Volpert, Travelling waves for integro-differential equations in population dynamics, Discrete and Continuous Dynamical Systems - Series B, vol.11, issue.3, pp.541-561, 2009.
DOI : 10.3934/dcdsb.2009.11.541

N. Apreutesei and V. Volpert, Properness and topological degree for nonlocal reactiondiffusion operators, Abstract and Applied Analysis, vol.21, 2011.
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URL : https://hal.archives-ouvertes.fr/hal-00653656

N. Apreutesei and V. Volpert, Existence of travelling waves for a class of integro-differential equations from population dynamics, International Electronic Journal of Pure and Applied Mathematics, vol.5, issue.2, pp.53-67, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00753095

N. Apreutesei and V. Volpert, Properness and topological degree for nonlocal integro-differential systems, Topological Methods in Nonlinear Analysis, vol.43, issue.1, pp.215-229, 2014.
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URL : https://hal.archives-ouvertes.fr/hal-01096780

O. Aydogmus, Patterns and Transitions to Instability in an Intraspecific Competition Model with Nonlocal Diffusion and Interaction, Mathematical Modelling of Natural Phenomena, vol.10, issue.6, pp.17-29, 2015.
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A. Bayliss and V. A. Volpert, Patterns for Competing Populations with Species Specific Nonlocal Coupling, Mathematical Modelling of Natural Phenomena, vol.10, issue.6, pp.30-47, 2015.
DOI : 10.1051/mmnp/201510604

H. Berestycki, G. Nadin, B. Perthame, and L. Ryzhik, The non-local Fisher???KPP equation: travelling waves and steady states, Nonlinearity, vol.22, issue.12, pp.2813-2844, 2009.
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N. Bessonov, N. Reinberg, and V. Volpert, Mathematics of Darwin???s Diagram, Mathematical Modelling of Natural Phenomena, vol.9, issue.3, pp.5-25, 2014.
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URL : https://hal.archives-ouvertes.fr/hal-01097152

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I. Demin and V. Volpert, Existence of Waves for a Nonlocal Reaction-Diffusion Equation, Mathematical Modelling of Natural Phenomena, vol.5, issue.5, pp.80-101, 2010.
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URL : https://hal.archives-ouvertes.fr/hal-00547724

A. Ducrot, M. Marion, and V. Volpert, Spectrum of some integro-differential operators and stability of travelling waves. Nonlinear Analysis Series A: Theory, Methods and Applications, pp.4455-4473, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00653653

S. Genieys, N. Bessonov, and V. Volpert, Mathematical model of evolutionary branching, Mathematical and Computer Modelling, vol.49, issue.11-12, pp.11-12, 2009.
DOI : 10.1016/j.mcm.2008.07.018

S. Genieys, V. Volpert, and P. Auger, Pattern and Waves for a Model in Population Dynamics with Nonlocal Consumption of Resources, Mathematical Modelling of Natural Phenomena, vol.1, issue.1, pp.63-80, 2006.
DOI : 10.1051/mmnp:2006004

S. Genieys, V. Volpert, and P. Auger, Adaptive dynamics: modelling Darwin's divergence principle, Comptes Rendus Biologies, vol.329, issue.11, pp.876-879, 2006.
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S. A. Gourley, Travelling front solutions of a nonlocal Fisher equation, Journal of Mathematical Biology, vol.41, issue.3, pp.272-284, 2000.
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S. A. Gourley, M. A. Chaplain, and F. A. Davidson, Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation. Dynamical systems, pp.173-192, 2001.

E. Mayr, Systematics and the Origin of Species, from the Viewpoint of a Zoologist, 1942.

G. Nadin, L. Rossi, L. Ryzhik, and B. Perthame, Wave-like Solutions for Nonlocal Reaction-diffusion Equations: a Toy Model, Mathematical Modelling of Natural Phenomena, vol.8, issue.3, pp.33-41, 2013.
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B. Perthame and S. Genieys, Concentration in the Nonlocal Fisher Equation: the Hamilton-Jacobi Limit, Mathematical Modelling of Natural Phenomena, vol.2, issue.4, pp.135-151, 2007.
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B. L. Segal, V. A. Volpert, and A. Bayliss, Pattern formation in a model of competing populations with nonlocal interactions, Physica D: Nonlinear Phenomena, vol.253, pp.12-22, 2013.
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V. Volpert, Elliptic partial differential equations Fredholm theory of elliptic problems in unbounded domains, Birkhäuser, vol.1, 2011.
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V. Volpert, Elliptic partial differential equations Reaction-diffusion equations, 2014.
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V. Volpert, Branching and aggregation in self-reproducing systems, ESAIM: Proceedings and Surveys, pp.116-129, 2014.
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URL : https://hal.archives-ouvertes.fr/hal-01098162

V. Volpert, Pulses and waves for a bistable nonlocal reaction???diffusion equation, Applied Mathematics Letters, vol.44, pp.21-25, 2015.
DOI : 10.1016/j.aml.2014.12.011
URL : https://hal.archives-ouvertes.fr/hal-01237160

V. Volpert, N. Reinberg, M. Benmir, and S. Boujena, On pulse solutions of a reactiondiffusion system in population dynamics Nonlinear Analysis, pp.76-85, 2015.

V. Volpert and S. Petrovskii, Reaction???diffusion waves in biology, Physics of Life Reviews, vol.6, issue.4, pp.267-310, 2009.
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V. Volpert and V. Vougalter, Emergence and propagation of patterns in nonlocal reactiondiffusion equations arising in the theory of speciation Dispersal, individual movement and spatial ecology, pp.331-353

V. Vougalter and V. Volpert, Existence of stationary pulses for nonlocal reaction-diffusion equations, Documenta Mathematica, vol.19, pp.1141-1153, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01097153

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G. Zhao and S. Ruan, The Decay Rates of Traveling Waves and Spectral Analysis for a Class of Nonlocal Evolution Equations, Mathematical Modelling of Natural Phenomena, vol.10, issue.6, pp.142-162, 2015.
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P. Zwolenski, Trait Evolution in two???sex Populations, Mathematical Modelling of Natural Phenomena, vol.10, issue.6, pp.163-181, 2015.
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