]. B. Agarwala, S. Bhattacharya, and P. Bardhanroy, Who eats whose eggs? Intra- versus inter-specific interactions in starving ladybird beetles predaceous on aphids, Ethology Ecology & Evolution, vol.101, issue.4, pp.361-368, 1998.
DOI : 10.1007/BF02033859

J. R. Beddington, Mutual Interference Between Parasites or Predators and its Effect on Searching Efficiency, The Journal of Animal Ecology, vol.44, issue.1, pp.331-340, 1975.
DOI : 10.2307/3866

G. Buffoni, M. P. Cassinari, M. Groppi, and M. Serluca, Modelling of predator???prey trophic interactions. Part I: two trophic levels, Journal of Mathematical Biology, vol.43, issue.6, pp.713-732, 2005.
DOI : 10.1007/s00285-004-0312-4

A. Byers, D. Giovannucci, and P. Liu, Value adding standards in the north american food market. trade opportunities in certified products for developing countries., Commodities and Trade Technical paper 11, FAO Trade and Markets Division, 2008.

R. S. Cantrell, C. Cosner, and S. Ruan, Intraspecific interference and consumer resource dynamics, Discrete Continuous Dynamical Systems 4B, pp.527-546, 2004.

D. L. Deangelis, R. A. Goldstein, and R. O. Neill, A Model for Tropic Interaction, Ecology, vol.56, issue.4, pp.881-892, 1975.
DOI : 10.2307/1936298

B. S. Goh, Global stability in two species interactions, Journal of Mathematical Biology, vol.97, issue.3-4, pp.313-318, 1976.
DOI : 10.1007/BF00275063

Y. Hironori and S. Katsuhiro, Cannibalisme et pr??dation intersp??cifique au champ chez deux coccinelles pr??datrices en relation avec l???abondance de la proie, Entomophaga, vol.67, issue.1-2, pp.153-163, 1997.
DOI : 10.1007/BF02769893

C. S. Holling, Principles of Insect Predation, Annual Review of Entomology, vol.6, issue.1, pp.163-182, 1961.
DOI : 10.1146/annurev.en.06.010161.001115

R. J. Jacobson, P. Croft, and J. Fenlon, Suppressing Establishment of Frankliniella occidentalis Pergande (Thysanoptera: Thripidae) in Cucumber Crops by Prophylactic Release of Amblyseius cucumeris Oudemans (Acarina: Phytoseiidae), Biocontrol Science and Technology, vol.13, issue.1, pp.27-34, 2001.
DOI : 10.1111/j.1570-7458.1995.tb01895.x

A. Kang, Y. Xue, and Z. Jin, Dynamic behavior of an eco-epidemic system with impulsive birth, Journal of Mathematical Analysis and Applications, vol.345, issue.2, pp.783-795, 2008.
DOI : 10.1016/j.jmaa.2008.04.043

Y. Kuang, W. F. Fagan, and I. Loladze, Biodiversity, Habitat Area, Resource Growth Rate and Interference Competition, Bulletin of Mathematical Biology, vol.65, issue.3, pp.497-518, 2003.
DOI : 10.1016/S0092-8240(03)00008-9

A. Lakmeche and O. Arino, Bifurcation of non-trivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment, Dynamics of Continuous, Discrete and Impulsive Systems, vol.7, pp.265-287, 2000.

X. Liu and L. Chen, Complex dynamics of Holling type II Lotka???Volterra predator???prey system with impulsive perturbations on the predator???, Chaos, Solitons & Fractals, vol.16, issue.2, pp.311-320, 2003.
DOI : 10.1016/S0960-0779(02)00408-3

L. Mailleret and F. Grognard, Optimal Release Policy for Prophylactic Biological Control, Lecture Notes in Control and Information Sciences, vol.341, pp.89-96, 2006.
DOI : 10.1007/3-540-34774-7_12

URL : https://hal.archives-ouvertes.fr/hal-01091661

K. Negi and S. Gakkhar, Dynamics in a Beddington???DeAngelis prey???predator system with impulsive harvesting, Ecological Modelling, vol.206, issue.3-4, pp.421-430, 2007.
DOI : 10.1016/j.ecolmodel.2007.04.007

S. Nundloll, L. Mailleret, and F. Grognard, The Effect of Partial Crop Harvest on Biological Pest Control, Rocky Mountain Journal of Mathematics, vol.38, issue.5, pp.1633-1662, 2008.
DOI : 10.1216/RMJ-2008-38-5-1633

URL : https://hal.archives-ouvertes.fr/hal-01090316

J. P. Reganold, J. D. Glover, P. K. Andrews, and H. R. Hinman, Sustainability of three apple production systems, Nature, vol.80, issue.6831, pp.926-930, 2001.
DOI : 10.1038/35073574

S. Ruan, A. Ardito, P. Ricciardi, and D. L. Deangelis, Coexistence in competition models with density-dependent mortality, Comptes Rendus Biologies, vol.330, issue.12, pp.345-354, 2007.
DOI : 10.1016/j.crvi.2007.10.004

B. Shulgin, L. Stone, and Z. Agur, Pulse vaccination strategy in the SIR epidemic model, Bulletin of Mathematical Biology, vol.60, issue.6, pp.1123-1148, 1998.
DOI : 10.1016/S0092-8240(98)90005-2

W. E. Snyder and D. H. Wise, Predator Interference and the Establishment of Generalist Predator Populations for Biocontrol, Biological Control, vol.15, issue.3, pp.283-299, 1999.
DOI : 10.1006/bcon.1999.0723

S. Tang and L. Chen, Multiple Attractors in Stage-structured Population Models with Birth Pulses, Bulletin of Mathematical Biology, vol.65, issue.3, pp.479-495, 2003.
DOI : 10.1016/S0092-8240(03)00005-3

P. Van-mele, J. Vayssì-eres, E. Van-tellingen, and J. Vrolijks, Effects of an African Weaver Ant, Oecophylla longinoda, in Controlling Mango Fruit Flies (Diptera: Tephritidae) in Benin, Journal of Economic Entomology, vol.100, issue.3, pp.695-701, 2007.
DOI : 10.1093/jee/100.3.695

S. Zhang and L. S. Chen, A study of predator???prey models with the Beddington???DeAnglis functional response and impulsive effect, Chaos, Solitons & Fractals, vol.27, issue.1, pp.237-248, 2006.
DOI : 10.1016/j.chaos.2005.03.039