We consider the Volterra-Lotka equations for two competing species in which the right-hand sides are periodic in time. Using topological degree, we show that conditions recently given by K. Gopalsamy, which imply the existence of a periodic solution with positive components, also imply the uniqueness and asymptotic stability of the solution. We also give optimal upper and lower bounds for the components of the solution.
Resumen. La deforestación alrededor de grandes concentraciones urbanas usualmente crea un paisaje fragmentado con reducidas áreas naturales. El estudio de la biodiversidad en estos remanentes provee herramientas útiles para el diseño de estrategias de conservación que permiten maximizar la persistencia de la diversidad local y favorecen su conectividad. Inventarios focalizados en grupos taxonómicos particulares, han sido propuestos como un mecanismo útil que permite una aproximación al conocimiento del estado de la biodiversidad en un área determinada, siendo las mariposas uno de los grupos taxonómicos más empleados para este tipo de estudios. En el presente trabajo se estudió
DNA barcoding is a technique used primarily for the documentation and identification of biological diversity based on mitochondrial DNA sequences. Butterflies have received particular attention in DNA barcoding studies, although varied performance may be obtained due to different scales of geographic sampling and speciation processes in various groups. The montane Andean Satyrinae constitutes a challenging study group for taxonomy. The group displays high richness, with more of 550 species, and remarkable morphological similarity among taxa, which renders their identification difficult. In the present study, we evaluated the effectiveness of DNA barcodes in the identification of montane Andean satyrines and the effect of increased geographical scale of sampling on identification performance. Mitochondrial sequences were obtained from 104 specimens of 39 species and 16 genera, collected in a forest remnant in the northwest Andes. DNA barcoding has proved to be a useful tool for the identification of the specimens, with a well-defined gap and producing clusters with unambiguous identifications for all the morphospecies in the study area. The expansion of the geographical scale with published data increased genetic distances within species and reduced those among species, but did not generally reduce the success of specimen identification. Only in Forsterinaria rustica (Butler, 1868), a taxon with high intraspecific variation, the barcode gap was lost and low support for monophyly was obtained. Likewise, expanded sampling resulted in a substantial increase in the intraspecific distance in Morpho sulkowskyi (Kollar, 1850); Panyapedaliodes drymaea (Hewitson, 1858); Lymanopoda obsoleta (Westwood, 1851); and Lymanopoda labda Hewitson, 1861; but for these species, the barcode gap was maintained. These divergent lineages are nonetheless worth a detailed study of external and genitalic morphology variation, as well as ecological features, in order to determine the potential existence of cryptic species. Even including these cases, DNA barcoding performance in specimen identification was 100% successful based on monophyly, an unexpected result in such a taxonomically complicated group.
Páramo de Belmira (Páramo de Santa Inés) is the highest part of the Andean Central Cordillera in the Colombian department of Antioquia. It harbours a pocket of highlands grassland vegetation isolated from the nearest southerly other large paramo extensions by some 150 km. Butterflies sampling was carried out for over three years in the cloud forest-paramo mosaic and open grassland at 2650-3350 m. As a result, several new taxa of various butterflies groups were identified, including three species and two subspecies belonging to the Satyrinae subtribe Pronophilina, described herein: Lymanopoda casneri n. sp., L. ionius lilliput n. ssp., Panyapedaliodes rojasi n. sp., Pedaliodes nutabe n. sp. and Apexacuta orsedice mariadelmarae n. ssp. L. casneri is particularly interesting from the biogeographical perspective as its nearest relative is L. hazelana Brown, found in south-central Ecuador, some 1000 km southwards. Overall, 48 species of Pronophilina were identified. Considering the occurrence of several endemic species and subspecies of butterflies in the extremely restricted paramo grasslands in the study area, and the anthropogenic pressure from surrounding locations, it is worth attributing the Páramo de Belmira a protection area status.
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