The Lorenz model for single-mode homogeneously broadened laser: analytical determination of the unpredictible zone

We have applied harmonic expansion to derive an analytical solution for the Lorenz-Haken equations. This method is used to describe the regular and periodic self-pulsing regime of the single mode homogeneously broadened laser. These periodic solutions emerge when the ratio of the population decay rates is smaller than 0.11. We have also demonstrated the tendency of the Lorenz-Haken dissipative system to behave periodic for a characteristic pumping rate "2CP" [4], close to the second laser threshold "2C2th" (threshold of instability). When the pumping parameter "2C" increases, the laser undergoes a period-doubling sequence. This cascade of period doubling leads towards chaos. We study this type of solutions and indicate the zone of the control parameters for which the system undergoes irregular pulsing solutions. We had previously applied this analytical procedure to derive the amplitude of the first, third and the fifth order harmonics for the laser-field expansion [4, 14]. In this work, we extend this method in the aim of obtaining the higher harmonics. We show that this iterative method is indeed limited to the fifth order, and that above, the obtained analytical solution diverges from the numerical direct resolution of the equations.Comment: 20 pages, 4 figures, 1 anne

Mathematical analysis of complex SIR model with coinfection and density dependence

An SIR model with the coinfection of the two infectious agents in a single host population is considered. The model includes the environmental carry capacity in each class of population. A special case of this model is analyzed and several threshold conditions are obtained which describes the establishment of disease in the population. We prove that for small carrying capacity $K$ there exist a globally stable disease free equilibrium point. Furthermore, we establish the continuity of the transition dynamics of the stable equilibrium point, i.e. we prove that (1) for small values of $K$ there exists a unique globally stable equilibrium point, and (b) it moves continuously as $K$ is growing (while its face type may change). This indicate that carrying capacity is the crucial parameter and increase in resources in terms of carrying capacity promotes the risk of infection.Comment: 14 page

Heteros tis eimi: On the Language of Menander's Young Lovers

published or submitted for publicatio

Representation theory for the Kriz model

The natural action of the symmetric group on the configuration spaces F(X; n) induces an action on the Kriz model E(X; n). The represen- tation theory of this DGA is studied and a big acyclic subcomplex which is Sn-invariant is described.Comment: 25 page

The Divine Comedy at Corinth: Paul, Menander and the Rhetoric of Resurrection

This article asks how the New Comedy of Menander might have influenced Paul\u27s theological rhetoric in 1 Cor 5–15. An intertextual reading of Paul\u27s letter against the backdrop of Menander\u27s Samia reveals a number of shared topics, ethical concerns and dramatic characteristics. Paul\u27s citation of Menander\u27s Thais in 1 Cor 15.33 is part of this larger strategy to frame the struggles in Corinth within the ambit of Greek household ‘situation comedy’. Like Menander, Paul hybridises tragic and comic motifs throughout his epistle, inflecting the comedy of the Christ narrative with tragic examples of human misapprehension in this plea for ecclesial reconciliation

Antipodean Intimacies: Medical Sex Advice for Women in the Australian colonies, 1857-1890

This article examines a genre of medical sex advice literature that emerged in colonial Australia at the close of the 19th century. While historians have examined medical discourse as a site for the production of raced bodies, this article points out that in the settler colonial context of Australia, what is notable is the systematic *absence* of Aboriginal people from this discourse

Spearfishing-induced behavioral changes of an unharvested species inside and outside a marine protected area.

By prohibiting fishing, marine protected areas (MPAs) provide a refuge for harvested species. Humans are often perceived as predators by prey and therefore respond fearfully to humans. Thus, fish responses to humans inside and outside of an MPA can provide insights into their perception of humans as a predatory threat. Previous studies have found differences in the distance that harvested species of fish initiate flight (flight initiation distance-FID) from humans inside and outside an MPA, but less is known about unharvested species. We focused on whether the lined bristletooth Ctenochaetus striatus, an unharvested surgeonfish, can discriminate between a snorkeler and a snorkeler with a spear gun inside and outside of a no-take MPA in Mo'orea, French Polynesia. Additionally, we incorporated starting distance (the distance between the person and prey at the start of an experimental approach), a variable that has been found to be important in assessing prey escape decisions in terrestrial species, but that has not been extensively studied in aquatic systems. Lined bristletooth FID was significantly greater in the presence of a spear gun and varied depending on if the spear gun encounter was inside or outside of the MPA. These results imply a degree of sophistication of fish antipredator behavior, generate questions as to how a nontargeted species of fish could acquire fear of humans, and demonstrate that behavioral surveys can provide insights about antipredator behavior

Increased tolerance to humans among disturbed wildlife.

Human disturbance drives the decline of many species, both directly and indirectly. Nonetheless, some species do particularly well around humans. One mechanism that may explain coexistence is the degree to which a species tolerates human disturbance. Here we provide a comprehensive meta-analysis of birds, mammals and lizards to investigate species tolerance of human disturbance and explore the drivers of this tolerance in birds. We find that, overall, disturbed populations of the three major taxa are more tolerant of human disturbance than less disturbed populations. The best predictors of the direction and magnitude of bird tolerance of human disturbance are the type of disturbed area (urbanized birds are more tolerant than rural or suburban populations) and body mass (large birds are more tolerant than small birds). By identifying specific features associated with tolerance, these results guide evidence-based conservation strategies to predict and manage the impacts of increasing human disturbance on birds

International migration and local employment: analysis of self-selection and earnings in Tajikistan

This paper addresses the issue of self-selection of individuals in international labour migration, non-agricultural and agricultural employment in Tajikistan and its link to earnings from these activities. Unlike most empirical studies, we could attribute selection bias on unobservable characteristics to the allocation of individuals to alternative employment sectors and analyse its impact on earnings abroad and at home. We have found positive selection in migration against local non-agricultural activities and positive selection in local non-agricultural activities against local agricultural activities. This indicates that the most capable individuals with regards to unobservable characteristics choose to migrate, while the somewhat less able choose non-agricultural activities, and individuals with the worst capabilities stay in poorly-paid agricultural activities. Controlling for self-selection, labour income returns to education of migrants and individuals in non-agricultural activities are slightly lower than those from Ordinary Least Squares (OLS).international migration, self-selection, earnings, Tajikistan