@misc{Uchmański_Janusz_Modele_1986, author={Uchmański, Janusz}, editor={Polska Akademia Nauk. Komitet Ekologii}, copyright={Creative Commons Attribution BY 3.0 PL license}, address={Warszawa}, howpublished={online}, year={1986}, language={pol}, abstract={The rightness of a mathematical model can be verified by estimating its assumptions or by looking how it depicts the reality. It is tempting to try, according to the second way of checking, and see whether classic models of mathematical ecology can imitate the cyclic changes of population numbers — a phenomenon well documented by spectral and autocorrelatiye analyses. It turned out that these models are helpless at the whole complex of problems connected with population cycles. This refers to models of single population with time lag as well as to models with two-species situations, the prey-predator system included. The Chitty’s hypothesis, when translated to the mathematical model language, does not lead to density oscillations. In models with many eąuilibrium points the density oscillations can appear, but the typical, i.e. observed in nature period of these oscillations remains unexplained and the same holds to other phenomena connected with the population cycles. The situation does not change even if we introduce both space and dispersion of individuals to the model. Only in the case of Charnov-Finerty’s hypothesis at certain special conditions it is possible to evoke oscillations of density, but this model, too, similarly as all previous ones, does not explain the remaining phenomena connected with the population cycles.}, type={Text}, title={Modele cyklicznych populacji}, URL={http://www.rcin.org.pl/Content/206972/PDF/WA058_152029_P3259-32_Eko-Pol-B.pdf}, volume={32}, number={3}, journal={Wiadomości Ekologiczne}, publisher={Państwowe Wydawnictwo Naukowe}, keywords={populations, population dynamics}, }