T. Caraballo, R. Colucci, J. , L. , and A. Rapaport,

T. Caraballo and R. Colucci, A comparison between random and stochastic modeling for a sir model, Communications on Pure and Applied Analysis, vol.16, issue.1, pp.151-162, 2017.

M. Graham and T. House, Dynamics of stochastic epidemics on heterogeneous networks, Journal of Mathematical Biology, vol.68, issue.7, pp.1583-1605, 2014.

T. Caraballo, R. Colucci, and X. Han, Predation with indirect effects in fluctuating environments, Nonlinear Dynamics, vol.84, issue.1, pp.115-126, 2016.

T. Caraballo, R. Colucci, and X. Han, Semi-kolmogorov models for predation with indirect effects in random environments, Discrete and Continuous Dynamical Systems -Series B, vol.21, issue.7, pp.2129-2143, 2017.

Q. Luoa and X. Mao, Stochastic population dynamics under regime switching, Journal of Mathematical Analysis and Applications, vol.334, issue.1, pp.69-84, 2007.

T. Caraballo, M. J. Garrido-atienza, and J. López-de-la-cruz, Some Aspects Concerning the Dynamics of Stochastic Chemostats, vol.69, pp.227-246, 2016.

T. Caraballo, M. J. Garrido-atienza, and J. López-de-la-cruz, Dynamics of some stochastic chemostat models with multiplicative noise, Communications on Pure and Applied Analysis, vol.16, issue.5, pp.1893-1914, 2017.

T. Caraballo, M. J. Garrido-atienza, J. López-de-la-cruz, and A. Rapaport, Corrigendum to "some aspects concerning the dynamics of stochastic chemostats, 2017.

L. Imhof and S. Walcher, Exclusion and persistence in deterministic and stochastic chemostat models, Journal of Differential Equations, vol.217, issue.1, pp.26-53, 2005.

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T. Caraballo, P. E. Kloeden, and B. Schmalfuss, Exponentially stable stationary solutions for stochastic evolution equations and their perturbation, Applied Mathematics and Optimization, vol.50, issue.3, pp.183-207, 2004.

T. Caraballo, X. Han, and P. E. Kloeden, Chemostats with random inputs and wall growth, Mathematical Methods in the Applied Sciences, vol.38, issue.16, pp.3538-3550, 2015.

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T. Caraballo, M. J. Garrido-atienza, J. López-de-la-cruz, and A. Rapaport, Modeling and analysis of random and stochastic input flows in the chemostat model
URL : https://hal.archives-ouvertes.fr/hal-01819374

J. López-de-la-cruz, Random and stochastic disturbances on the input flow in chemostat models with wall growth

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, E-mail address: caraball@us.es E-mail address: renatocolucci@hotmail.com E-mail address: jlopez78@us.es E-mail address: alain