Bibliographie
[1] D. Aldous. Stopping times and tightness. Ann. Probab. 6, 335–340, 1978.
[2] L.J.S. Allen. An Introduction to Stochastic Processes with Applications to Biology,
Second edition. CRC Press, Chapman & Hall/CRC, 2011.
[3] E.S. Allman, J.A. Rhodes. Mathematical Models in Biology : An Introduction. Cambridge Univ. Press, Cambridge, U.K., 2004.
[4] W. J. Anderson. Continuous-time Markov chains. Springer Series in Statistics :
Probability and its Applications. Springer-Verlag, New York, 1991.
[5] K.B. Athreya, P.E. Ney. Branching Processes. Springer 1972.
[6] N. Bacaer. Histoires de mathématiques et de populations. Le sel et le fer, Cassini, 2008.
[7] S. Billiard, C.V. Tran. A general stochastic model for sporophytic self-incompatibility.
J. Math. Biol. 64 (1), 163–210 (2012).
[8] V. Bansaye, A. Lambert. New approaches to source-sink metapopulations decoupling
demography and dispersal. Theoret. Popul. Biol. 88, 31–46, 2013.
[9] V. Bansaye, S. Méléard. Stochastic Models for Structured Populations. Mathematical
Biosciences Institute Lecture Series 1.4. Springer 2015.
[10] P. Billingsley. Probability and Measure. Wiley, New York, 1995.
[11] P. Billingsley. Convergence of Probability Measures. Third edition, Wiley, New York,
1999.
[12] Brown, J.H., Gillooly, J.F., Allen, A.P., Savage, V.M., West, G.B. Toward a metabolic
theory of ecology. Ecology 85 (7), 1771–1789, 2004.
[13] S. Boi, V. Capasso, D. Morale. Modeling the aggregative behavior of ants of the
species Polyergus rufescens. Nonlinear Analysis 1, 163–176, 2000.
[14] E. Bouin, V. Calvez. Travelling waves for the cane toads equation with bounded
traits. Nonlinearity 27, no. 9, 2233–2253, 2014.
[15] H. Caswell, M. Fujiwara, S. Brault. Declining survival probability threatens the North
Atlantic right whale. Proc. Natl. Acad. Sci. USA, Vol. 96, 3308–3313, 1999
[16] P. Cattiaux, S. Méléard. Competitive or weak cooperative stochastic Lotka-Volterra
systems conditioned on non-extinction. J. Math. Biol. 6, 797–829, 2010.
[17] P. Cattiaux, D. Chafaï, S. Motsch. Asymptotic analysis and diffusion limit of the
persistent Turning Walker model. Asymptot. Anal. 67, no. 1-2, 17–31, 2010.
Ó Springer-Verlag Berlin Heidelberg 2016
S. Méléard, Modèles aléatoires en Ecologie et Evolution,
Mathématiques et Applications 77, DOI 10.1007/978-3-662-49455
265
[1] D. Aldous. Stopping times and tightness. Ann. Probab. 6, 335–340, 1978.
[2] L.J.S. Allen. An Introduction to Stochastic Processes with Applications to Biology,
Second edition. CRC Press, Chapman & Hall/CRC, 2011.
[3] E.S. Allman, J.A. Rhodes. Mathematical Models in Biology : An Introduction. Cambridge Univ. Press, Cambridge, U.K., 2004.
[4] W. J. Anderson. Continuous-time Markov chains. Springer Series in Statistics :
Probability and its Applications. Springer-Verlag, New York, 1991.
[5] K.B. Athreya, P.E. Ney. Branching Processes. Springer 1972.
[6] N. Bacaer. Histoires de mathématiques et de populations. Le sel et le fer, Cassini, 2008.
[7] S. Billiard, C.V. Tran. A general stochastic model for sporophytic self-incompatibility.
J. Math. Biol. 64 (1), 163–210 (2012).
[8] V. Bansaye, A. Lambert. New approaches to source-sink metapopulations decoupling
demography and dispersal. Theoret. Popul. Biol. 88, 31–46, 2013.
[9] V. Bansaye, S. Méléard. Stochastic Models for Structured Populations. Mathematical
Biosciences Institute Lecture Series 1.4. Springer 2015.
[10] P. Billingsley. Probability and Measure. Wiley, New York, 1995.
[11] P. Billingsley. Convergence of Probability Measures. Third edition, Wiley, New York,
1999.
[12] Brown, J.H., Gillooly, J.F., Allen, A.P., Savage, V.M., West, G.B. Toward a metabolic
theory of ecology. Ecology 85 (7), 1771–1789, 2004.
[13] S. Boi, V. Capasso, D. Morale. Modeling the aggregative behavior of ants of the
species Polyergus rufescens. Nonlinear Analysis 1, 163–176, 2000.
[14] E. Bouin, V. Calvez. Travelling waves for the cane toads equation with bounded
traits. Nonlinearity 27, no. 9, 2233–2253, 2014.
[15] H. Caswell, M. Fujiwara, S. Brault. Declining survival probability threatens the North
Atlantic right whale. Proc. Natl. Acad. Sci. USA, Vol. 96, 3308–3313, 1999
[16] P. Cattiaux, S. Méléard. Competitive or weak cooperative stochastic Lotka-Volterra
systems conditioned on non-extinction. J. Math. Biol. 6, 797–829, 2010.
[17] P. Cattiaux, D. Chafaï, S. Motsch. Asymptotic analysis and diffusion limit of the
persistent Turning Walker model. Asymptot. Anal. 67, no. 1-2, 17–31, 2010.
Ó Springer-Verlag Berlin Heidelberg 2016
S. Méléard, Modèles aléatoires en Ecologie et Evolution,
Mathématiques et Applications 77, DOI 10.1007/978-3-662-49455
265