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Wyświetlanie 1-3 z 3
Tytuł:
Global behavior of a multi-group SEIR epidemic model with spatial diffusion in a heterogeneous environment
Autorzy:
Liu, Pengyan
Li, Hong-Xu
Powiązania:
https://bibliotekanauki.pl/articles/2134056.pdf
Data publikacji:
2022
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
global stability
multigroup epidemic model
spatial heterogeneity
spatial diffusion
globalna stabilność
wielogrupowy model epidemii
różnorodność przestrzenna
dyfuzja przestrzenna
Opis:
In this paper, we propose a multi-group SEIR epidemic model with spatial diffusion, where the model parameters are spatially heterogeneous. The positivity and ultimate boundedness of the solution, as well as the existence of a global attractor of the associated solution semiflow, are established. The definition of the basic reproduction number is given by utilizing the next generation operator approach, whereby threshold-type results on the global dynamics in terms of this number are established. That is, when the basic reproduction number is less than one, the disease-free steady state is globally asymptotically stable, while if it is greater than one, uniform persistence of this model is proved. Finally, the feasibility of the main theoretical results is shown with the aid of numerical examples for a model with two groups.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2022, 32, 2; 271--283
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Przestrzenne zróżnicowanie stanu i rozwoju bazy hotelowej w Polsce według województw w okresie 2002–2017
Spatial differentiation of the state and development of the hotel base in Poland by voivodship in the period 2002–2017
Autorzy:
Wojdacki, Krzysztof
Powiązania:
https://bibliotekanauki.pl/articles/2032369.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
hotel base
hotels
spatial diversity
spatial market research
baza hotelowa
hotele
różnorodność przestrzenna
przestrzenne badania rynku
Opis:
The main purpose of the author was to determine the spatial diversity of hotel base development in the regional (voivodship) system. Assuming that many factors determine the level of hotel base development in a given area, the author has used a multidimensional approach, or more precisely – a multidimensional comparative analysis in its dynamic variant. Following the adopted algorithm, a potential set of diagnostic variables was identified on the basis of secondary information sources (date of CSO local data bank), then using factor analysis to reduce it to the final set of quasi-variables (four main factors). Based on them, a synthetic measure of the development of the hotel base of particular voivodships was constructed. This in turn allowed to determine the voivodship hierarchical structure due to particular main factors and synthetic variable, with its changes in the years 2002–2017. The voivodship were also divided into homogeneous groups, according to the value of the synthetic measure of development, as well as the direction and intensity of its temporal changes.
Źródło:
Biuletyn Komitetu Przestrzennego Zagospodarowania Kraju PAN; 2018, 272; 77-93
0079-3493
Pojawia się w:
Biuletyn Komitetu Przestrzennego Zagospodarowania Kraju PAN
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Spatial Heterogeneity and Local Oscillation Phase Drifts Individual-Based Simulations of a Prey-Predator System
Autorzy:
Waniewski, J.
Jędruch, W.
Powiązania:
https://bibliotekanauki.pl/articles/929763.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
estymacja parametryczna
różnorodność przestrzenna
prey-predator system
individual-based simulations
spatial heterogeneity
oscillation phase drift
parameter estimation
Opis:
Individual-based simulations of a simple prey-predator system of Lotka-Volterra type were carried out on a tessellation of identical squares with discrete time steps. The particles representing individuals moved freely along (roughly) straight lines with constant (on the average) velocity, and changed their movement during a collision with another particle. Individuals were of two types: preys (with free exponential population growth) and predators (with exponential population decrease in the absence of a prey, they attack with probability one and are characterized by zero handling and gestationtimes). Therefore the system might be also interpreted as a chemical reactionin a gas. For this simple system, a spontaneous generation of complex spatio-temporal pattern was observed with wavy spatial patterns and tendency for preys to form clusters surrounded by predators if the population density was high. The oscillations of the system were investigated at different spatial scales, and the phase lag between the oscillations in different local observation windows was demonstrated. The parameters of the classical Lotka-Volterra equations were estimated and the impact of the migration and the oscillation phase drift on the parameter values was discussed.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2000, 10, 1; 175-192
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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