Etude du régime alimentaire de la Chouette effraie Tyto alba (Strigiforme,Tytonidae) dans la région de Lalla Mimouna dans la plaine du Gharb, plaine du Maroc atlantique

Nous présentons dans ce travail les résultats de l’analyse du régime alimentaire d’un rapace nocturne (la Chouette effraie Tyto alba) dans les plaines du Maroc atlantique à partir de plusieurs lots de pelotes de réjection collectées en 2012. Il s’agit de deux régions de la plaine du Gharb, une située dans un milieu forestier anthropisé (Sidi Boubker El Haj) et l’autre en plein milieu irrigué et intensément cultivé (domaine des Drader à Moulay Bousselhame). L’étude des pelotes a fournie 1285 proies réparties sur plusieurs groupes zoologiques formants l’essentiel du régime de ce rapace. Les mammifères sont beaucoup plus représentés avec environ 64% de ce régime, les insectes sont représentés avec plus de 27% alors que les oiseaux et les amphibiens forment moins de 10%. Ce régime diffère fortement de celui des effraies des plaines semi-arides du Maroc atlantique (Rihane, 2003, 2004 et 2005) caractérisé par une nette abondance des oiseaux.Mots-clés: régime alimentaire, chouette effraie, Lalla Mimouna , plaine du Gharb, Maroc atlantique. Study of the diet of the Barn Owl Tyto alba (Strigiforme, Tytonidae) in Lalla Mimouna region in the Gharb plain (plain of Atlantic Morocco)We present in this work the results of the analysis of the diet of the Barn owl Tyto alba in the plains of Atlantic Morocco, from several batches of diet pellets collected in 2012. These study covers two regions of the Gharb plain, one located in ananthropized forest (Sidi Boubker El Haj) and the other in the middle irrigated and intensively cultivated (field Drader Moulay Bouselhame). The study of several lots of pellets has provided 1285 prey over several zoological groups making the most of the diet of this predator. Mammals are much more represented with approximately 64% of the diet,the insects are strongly represented with more than 27% while birds and amphibians make up less than 10%. The scheme of this diet differs greatly from that of semi-arid plains of Atlantic Morocco (Rihane, 2003, 2004 and 2005) characterized by a marked abundance of birds.Keywords: diet, barn Owl, Lalla Mimouna, gharb plain, Atlantic Morocco

Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model

We present in this paper an SIRS epidemic model with saturated incidence rate and disease-inflicted mortality. The Global stability of the endemic equilibrium state is proved by constructing a Lyapunov function. For the stochastic version, the global existence and positivity of the solution is showed, and the global stability in probability and pth moment of the system is proved under suitable conditions on the intensity of the white noise perturbation

Deterministic and stochastic stability of a mathematical model of smoking

Our aim in this paper, is first constructing a Lyapunov function to prove the global stability of the unique smoking-present equilibrium state of a mathematical model of smoking. Next we incorporate random noise into the deterministic model. We show that the stochastic model established in this paper possesses non-negative solutions as this is essential in any population dynamics model. Then a stochastic Lyapunov method is performed to obtain the sufficient conditions for mean square and asymptotic stability in probability of the stochastic model. Our analysis reveals that the stochastic stability of the smoking-present equilibrium state, depends on the magnitude of the intensities of noise as well as the parameters involved within the model system.Smoking model Global stability Lypunov function Stochastic perturbations Stochastic stability

A lubricant boundary condition for a biological body lined by a thin heterogeneous biofilm

We study the asymptotic behavior of an incompressible viscous fluid flow in a biological body lined by a thin biological film with a cellular microstructure, varying thickness, and a heterogeneous viscosity regulated by a time random process. Letting the thickness of the film tend to zero, we derive an effective biological slip boundary condition on the boundary of the body. This law relates the tangential fluxes to the tangential velocities via a proportional coefficient corresponding to the energy of some local problem. This law describes the ability of the biological film to function as a lubricant reducing friction at the wall of the body. The tangential velocities are functions of the random trajectories of a finely concentrated biological particle