Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 5

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych:  population dynamics
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

Dynamics of a two sex population with gestation period

100%
EN
We investigate a mathematical model of population dynamics for a population of two sexes (male and female) in which new individuals are conceived in a process of mating between individuals of opposed sexes and their appearance is postponed by a period of gestation. The model is a system of two partial differential equations with delay which are additionally coupled by mathematically complicated boundary conditions. We show that this model has a global solution. We also analyze stationary ('permanent') solutions and show that such solutions exist if the model parameters satisfy two nonlinear relations.
2
100%
EN
Von Bertalanffy's model is one of the most popular differential equation used in order to study the increase in average length or weight of fish. However, this model does not include demographic Allee effect. This phenomenon is known in the fisheries literature as "depensation", which arises when populations decline rapidly at low densities. In this paper we develop and investigate new corrected von Bertalanffy's models with Allee effects. The generalization that we propose results from considering correction factors, one of rational type and the others of polynomial type, where two parameters are considered. The use of a parameter C > 0 leads the presented generalization, which yields some more flexible models with variable extinction rates. An Allee limit or unstable equilibrium $E^u$ is incorporated so that the models under study have strong Allee effect. We analyze and show the transition from the strong Allee effect to the inexistence of this effect, through by a "weakening" of the Allee effect, depending on the parameters C and $E^u$. Finally, we discuss the flexibility of corrected von Bertalanffy's sigmoid growth curves. So, the correspondents inflexion points are variable, i.e., the fish mass when the growth rate is maximum may be varied.
EN
A simple model of phenotypic evolution is introduced and analysed in a space of population states. The expected values of the population states generate a discrete dynamical system. The asymptotic behaviour of the system is studied with the use of classical tools of dynamical systems. The number, location and stability of fixed points of the system depend on parameters of a fitness function and the parameters of the evolutionary process itself. The influence of evolutionary process parameters on the stability of the fixed points is discussed. For large values of the standard deviation of mutation, fixed points become unstable and periodical orbits arise. An analysis of the periodical orbits is presented.
EN
A simple age-dependent population dynamics model with an additional structure or physiological variable is presented in its variational formulation. Although the model is well-posed, the closed form solution with space variable is difficult to obtain explicitly, we prove the uniqueness of its solutions using the fundamental Green’s formula. The space variable is taken into account in the extended model with the assumption that the coefficient of diffusivity is unity.
EN
The author’s aim was to recognize the dynamics of population and net migration in Jaworze against the other communes of the Bielsko-Biala agglomeration and to identify inflow directions to this commune. Since 1989, the process of urbanization, has spread over most of the western part of the agglomeration, which contributed to the rapid development of Jaworze during the 1990s. Jaworze, located in the immediate vicinity of Bielsko-Biala, has high natural values . In terms of the residential attractiveness this municipality is one of the top rated ones in the whole voivodeship. Therefore, it is an area of inflow of migrants not only from Bielsko-Biala, but also from other parts of the region, including the Katowice conurbation. It is suggested that the Jaworze commune has reached maximum migration load from the point of view of the resources of land available for housing. However, this requires empirical verification.
PL
Celem autorki było rozpoznanie dynamiki zaludnienia i salda migracji w gminie Jaworze na tle pozostałych gmin aglomeracji Bielska-Białej oraz identyfikacja kierunków napływu ludności do tej gminy. Po 1989 r. proces urbanizacji wyraźnie objął zachodnią część aglomeracji bielskiej, co przyczyniło się do szybkiego rozwoju Jaworza w latach 90. XX w. Gmina ta, położona w bezpośrednim sąsiedztwie Bielska-Białej, ma duże walory przyrodnicze, a pod względem atrakcyjności rezydencjalnej jest jedną z najwyżej ocenionych gmin w województwie śląskim. Stanowi więc obszar napływu migrantów nie tylko z Bielska-Białej, lecz również z innych części regionu, m.in. z konurbacji katowickiej. Istnieją przesłanki sugerujące, że gmina Jaworze osiąga już maksimum obciążenia migracyjnego z punktu widzenia zasobu wolnych terenów pod zabudowę mieszkaniową – co wymaga jednak empirycznej weryfikacji.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.