J. Banasiak and L. Arlotti, Perturbations of positive semigroups with applications. Springer monographs in mathematics, 2006.

A. De-masi, A. Galves, E. Löcherbach, and E. Presutti, Hydrodynamic Limit for Interacting Neurons, Journal of Statistical Physics, vol.11, issue.3, pp.866-902, 2015.
DOI : 10.1007/s10955-014-1145-1

W. Desch and W. Schappacher, Linearized stability for nonlinear semigroups, Differential equations in Banach spaces, pp.61-73, 1986.
DOI : 10.1007/BFb0099183

O. Diekmann, M. Sjoerd, S. A. Verduyn-lunel, H. Van-gils, and . Walther, Delay Equations One-parameter semigroups for linear evolution equations, Applied Mathematical Sciences, vol.110, issue.194, 1995.

N. Fournier and E. Löcherbach, On a toy model of interacting neurons. arXiv:1410.3263 [math], 2014.

A. Grabosch and H. J. Heijmans, Cauchy problems with state-dependent time evolution, Japan Journal of Applied Mathematics, vol.48, issue.3, pp.433-457, 1990.
DOI : 10.1007/BF03167853

[. Gerstner, W. M. Kistler, R. Naud, and L. Paninski, Neuronal dynamics: from single neurons to networks and models of cognition, 2014.
DOI : 10.1017/CBO9781107447615

E. Morton, R. C. Gurtin, and . Maccamy, Non-linear age-dependent population dynamics. Archive for Rational Mechanics and Analysis, pp.281-300, 1974.

. Hal14, K. Jack, and . Hale, Introduction to functional differential equations, p.2014

M. Haragus and G. Iooss, Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical Systems, 2011.
DOI : 10.1007/978-0-85729-112-7

URL : https://hal.archives-ouvertes.fr/hal-00877080

E. M. Izhikevich, Dynamical systems in neuroscience: the geometry of excitability and bursting. Computational neuroscience, 2007.

T. Mátrai, On perturbations preserving the immediate norm continuity of semigroups, Journal of Mathematical Analysis and Applications, vol.341, issue.2, pp.961-974, 2008.
DOI : 10.1016/j.jmaa.2007.10.048

A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, 1983.
DOI : 10.1007/978-1-4612-5561-1

B. Perthame, Transport equations in biology. Frontiers in mathematics, 2007.

J. Pruss, Stability analysis for equilibria in age-specific population dynamics. Nonlinear Analysis: Theory, Methods & Applications, vol.7, issue.12, pp.1291-1313, 1983.

P. Robert and J. D. Touboul, On the dynamics of random neuronal networks. arXiv:1410.4072 [math, q-bio], 2014.
URL : https://hal.archives-ouvertes.fr/hal-01075242

R. Veltz and O. Faugeras, A Center Manifold Result for Delayed Neural Fields Equations, SIAM Journal on Mathematical Analysis, vol.45, issue.3, pp.1527-1562, 2013.
DOI : 10.1137/110856162

URL : https://hal.archives-ouvertes.fr/hal-00719794

A. Stephan, S. G. Van-gils, Y. A. Janssens, S. Kuznetsov, and . Visser, On Local Bifurcations in Neural Field Models with Transmission Delays, 2012.

]. G. Web85 and . Webb, Theory of nonlinear age-dependent population dynamics. Number 89 in Monographs and textbooks in pure and applied mathematics. M. Dekker, 1985.