A non-local perturbation of the logistic equation in IR N

A logistic equation in the whole space is considered. In this problem, a non-local perturbation is included. We establish a new sub-supersolution method forgeneral nonlocal elliptic equations and, consequently, we obtain the existence ofpositive solutions of a nonlocal logistic equation.Ministerio de Economía y Competitividad (MINECO). EspañaEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)Conselho Nacional de Desenvolvimento Científico e Tecnológico. BrasilCoordenação de Aperfeiçoamento de Pessoal de Nivel Superior. Brasi

Analysis of an age-structured predator-prey model with disease in the prey

We study a nonlinear predator-prey model in which the prey population is affected by a mild disease, but has an effect on the death-rate and is assumed to have age structure. We assume that the predator population grows according to a logistic law. We prove the existence and uniqueness of a positive solution for this model.Patronato de la Fundación Cámara (Universidad de Sevilla

A nonlinear age-dependent model with spatial diffusion

The main goal of this paper is to study the existence and uniqueness of positive solution for a nonlinear age-dependent equation with spatial diffusion. For that, we mainly use properties of an eigenvalue problem related to the equation and the subsupersolution method. We justify that this method works for this kind of equation, in which appears a potential blowing-up and a non-local initial condition.Ministerio de Ciencia y Tecnologí

Algunos modelos estacionarios de dinámica de poblaciones estructurados en edad con difusión

En este trabajo, daremos algunos resultados de existencia y unicidad de solución para un problema de dinámica de poblaciones estructurado en edad con difusión. Primero describiremos un método de sub-supersolución para este tipo de problemas. A continuación, utilizaremos dicho método para dar resultados de existencia y no existencia en el caso particular de la ecuación logística, usando principalmente propiedades del problema de autovalores asociado a dicha ecuación.Ministerio de Educación y CienciaFondo Europeo de Desarrollo Regiona

Relating disease and predation: equilibria of an epidemic model

In this paper, we would like compare the spread of an infectious disease in a population without the influence of a predator and under its influence. We show that it is possible to control an epidemic in a population with the help of predators.Ministerio de Educación y Cienci

APORTES AL CONOCIMIENTO DE LA BIOLOGÍA REPRODUCTIVA DEL PINCHAFLOR SATINADO (DIGLOSSA LAFRESNAYII)

Resumen ∙ Describimos algunos aspectos desconocidos sobre la biología reproductiva del Pinchaflor Satinado (Diglossa lafresnayii), en base a observaciones de un nido activo registrado en el sector de Cerro de Arcos, límite provincial de El Oro y Loja, Ecuador. El nido tenia forma de copa, con similares medidas al único nido previamente descrito de la especie. En su interior se encontró un polluelo completamente emplumado y un huevo no eclosionado, el cual se describe por primera vez. Además, se reportan datos de cuidado parental sobre la eliminación y consumo de sacos fecales provenientes de la nidada.Abstract ∙ Additional notes on the breeding of Glossy Flowerpiercer (Diglossa lafresnayii) We describe some unknown aspects of the reproductive biology of the Glossy Flowerpiercer (Diglossa lafresnayii), based on observations of an active nest recorded in the Cerro de Arcos sector, the provincial boundary of El Oro and Loja, Ecuador. The nest was cup-shaped, with measures similar to the only nest previously described for the species. Inside, a fully feathered chick and an unhatched egg were found, which is described for the first time. In addition, parental care data are reported on elimination and consumption of fecal sacs from the brood.