During the last two decades, new models were developed in actuarial sciences. Different notions of insurance company ruin (bankruptcy) and other objective functions evaluating performance introduced. Several types decision (such as dividend payment, reinsurance, investment) are used for optimization functioning. Therefore, it is necessary to ensure that model under consideration stable with res...

The paper is an overview of our recent results achieved with different coauthors, concerning several research lines of applied population dynamics we initiated some years ago, and mostly published in 2010. First, based on the classical Leslie population model, a dynamic demographic model including controlled immigration is recalled, and applying the Perron-Frobenius theory of nonnegative matric...

Mathematical models can be used in several sciences as a tool to organize the research in such a way that the results could be transferred into other sciences. Here we go on with a method how to organise some results, which do not seem to have any relation with mathematics in a strictly algebraic way. The topic of algebra used is called Hv-structures, the largest class of hyperstructures. Our e...

Objective(s): Considering the fact that the standardized uptake value (SUV) of a normal lung tissue is expressed as x±SD, x+3×SD could be considered as the threshold value to outline the internal tumor volume (ITV) of a lung neoplasm. Methods: Three hollow models were filled with 55.0 kBq/mL fluorine18- fluorodeoxyglucose (18F-FDG) to represent tumors. The models were fixed to a barrel filled w...

Predicting rainfall is an important step in generating data for climate impact studies. Rainfall predictions are a key process providing assessments with inputs. A consistent pattern typically good normal plants; nevertheless, too much or little can be disastrous to crops, even deadly. Drought damage plants and lead erosion, while heavy encourage the growth of destructive fungi. Machine Learnin...