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The author has recently proposed and investigated models for the study of interacting species subject to an additional factor, a disease spreading among one of them, that somehow affects the other one. The inadequacy of such a model comes from the basic assumption on the interacting species. It is well known that the cycles found in the Lotka-Volterra… (More)
A few spatiotemporal models of population dynamics are considered in relation to biological invasion and biological control. The patterns of spread in one and two spatial dimensions are studied by means of extensive numerical simulations. We show that, in the case that population multiplication is damped by the strong Allee effect (when the population… (More)
We propose and analyze a numerical method for solving fourth order differential equations modelling two point boundary value problems. The scheme is based on B-splines collocation. The error analysis is carried out and convergence rates are derived.
Transmissible diseases are known to induce remarkable major behavioral changes in predator-prey systems. However, little attention has been paid to model such situations. The latter would allow to predict useful applications in both dynamics and control. Here the Holling-Tanner model is revisited to account for the influence of a transmissible disease,… (More)
This work is focused on the processes underlying the dynamics of spatially inhomogeneous plankton communities. We demonstrate that reaction-diffusion mathematical models are an appropriate tool for searching and understanding basic mechanisms of complex spatio-temporal plankton dynamics and fractal properties of planktivorous fish school walks.
The structure of a network dramatically affects the spreading phenomena unfolding upon it. The contact distribution of the nodes has long been recognized as the key ingredient in influencing the outbreak events. However, limited knowledge is currently available on the role of the weight of the edges on the persistence of a pathogen. At the same time, recent… (More)
OBJECTIVES To verify prognostic significance of high-grade prostatic intraepithelial neoplasia (HGPIN) in 65 patients who underwent repeat biopsies with a mean follow-up of 36 months. METHODS In June 2007, after a retrospective revision of the biopsy reports that were performed between January 2002 and December 2006 because of prostate specific antigen… (More)
We reviewed the ultrasonographic findings in eight patients with 11 lipomatous uterine tumors studied with transabdominal (eight cases) and transvaginal (six cases) techniques. A transvaginal color Doppler study was obtained in five patients. Two patients had more than one nodule (two and three uterine nodules, respectively). All lipomatous tumors had… (More)