A new species of the Neotropical genus Beebeomyia (Diptera: Richardiidae) with observations of its biology on Dieffenbachia oerstedii (Araceae)

A new species of the genus Beebeomyia Curran found in central Veracruz (Mexico) is described, including characters of the male and female terminalia, and a key to the identification of the known species is provided. This new species was found feeding within inflorescences of Dieffenbachia oerstedii Schott (Araceae). Larvae were found throughout the inflorescence, with a proportion nearly three times higher in the female (bottom) than the male (top) section. The life cycle from larval stage to adult emergence takes place in an average time of 42 days, while pupation occurs within the inflorescence. Observations of the oviposition behaviour suggest that after oviposition, the female marks the inflorescence with a deterrent pheromone to prevent further ovipositions by other conspecific females.

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On differential structures of polynomial spaces in control theory

A valuable number of works has been published about Hurwitz and Schur polynomials in order to known better their properties.For example it is known that the sets of Hurwitz and Schur polynomials are open and no convex sets.Besides,the set of monic Schur polynomials is contractible.Now we study this set using ideas from differential topology,and we prove that the space of Schur complex polynomials with positive leading coefficient,and the space of Hurwitz complex polynomials which leading coefficient having positive real part,have structure of trivial vector bundle,and each space of (Schur complex and real,Hurwitz complex) polynomials has a differential structure diffeomorphic to some known spaces.