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    Wyświetlanie 1-4 z 4
    Tytuł:
    Ananysis of a predator-prey model with disease in the predator species
    Autorzy:
    Radziński, Piotr
    Foryś, Urszula
    Powiązania:
    https://bibliotekanauki.pl/articles/747413.pdf
    Data publikacji:
    2018
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    predator-prey model, eco-epidemiology, local and global stability
    Opis:
    In the paper we analyse a diffusive predator-prey model with disease in predator species proposed by Qiao et al. (2014). In the original article there appears a mistake in the procedure of the model undimensionalisation. We make a correction in this procedure and show that some changes in the model analysis are necessary to obtain results similar to those presented by Qiao et al.We propose corrected conditions for global stability of one of existing equilibria -- disease free steady state and endemic state in the case without diffiusion as well as in the model with diffusion. On the basis of the corrected analysis we present new stability results.
    Źródło:
    Mathematica Applicanda; 2018, 46, 1
    1730-2668
    2299-4009
    Pojawia się w:
    Mathematica Applicanda
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability and Hopf bifurcation analysis for a Lotka-Volterra predator-prey model with two delays
    Autorzy:
    Xu, C.
    Liao, M.
    He, X.
    Powiązania:
    https://bibliotekanauki.pl/articles/907822.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    opóźnienie
    stabilność
    bifurkacja Hopfa
    predator-prey model
    delay
    stability
    Hopf bifurcation
    Opis:
    In this paper, a two-species Lotka-Volterra predator-prey model with two delays is considered. By analyzing the associated characteristic transcendental equation, the linear stability of the positive equilibrium is investigated and Hopf bifurcation is demonstrated. Some explicit formulae for determining the stability and direction of Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using normal form theory and center manifold theory. Some numerical simulations for supporting the theoretical results are also included.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2011, 21, 1; 97-107
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Bifurcation and control for a discrete-time prey–predator model with Holling-IV functional response
    Autorzy:
    Chen, Q.
    Teng, Z.
    Hu, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/907649.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    discrete prey predator model
    flip bifurcation
    Hopf bifurcation
    saddle node bifurcation
    OGY chaotic control
    bifurkacja Hopfa
    sterowanie chaosem
    Opis:
    The dynamics of a discrete-time predator–prey model with Holling-IV functional response are investigated. It is shown that the model undergoes a flip bifurcation, a Hopf bifurcation and a saddle-node bifurcation by using the center manifold theorem and bifurcation theory. Numerical simulations not only exhibit our results with the theoretical analysis, but also show the complex dynamical behaviors, such as the period-3, 6, 9, 12, 20, 63, 70, 112 orbits, a cascade of period-doubling bifurcations in period-2, 4, 8, 16, quasi-periodic orbits, an attracting invariant circle, an inverse period-doubling bifurcation from the period-32 orbit leading to chaos and a boundary crisis, a sudden onset of chaos and a sudden disappearance of the chaotic dynamics, attracting chaotic sets and non-attracting sets. We also observe that when the prey is in chaotic dynamics the predator can tend to extinction or to a stable equilibrium. Specifically, we stabilize the chaotic orbits at an unstable fixed point by using OGY chaotic control.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 247-261
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Impact of prey field variability on early cod larval survival: a sensitivity study of a Baltic cod Individual-based Model
    Autorzy:
    Schmidt, J.O.
    Hinrichsen, H.-H.
    Powiązania:
    https://bibliotekanauki.pl/articles/48059.pdf
    Data publikacji:
    2008
    Wydawca:
    Polska Akademia Nauk. Instytut Oceanologii PAN
    Tematy:
    Baltic Sea
    individual-based model
    calanoid copepod
    Acartia
    larva
    Temora longicornis
    predator-prey interaction
    spatial variation
    biophysical model
    Centropages hamatus
    cod
    Pseudocalanus acuspes
    Baltic cod
    Opis:
    Existing coupled biophysical models for Baltic larval cod drift, growth and survival use idealised constructed mean prey fields of nauplius distributions. These simulations revealed the best feeding conditions for Baltic cod larvae longer than 6 mm. For shorter, first feeding larvae (between 4.5 and 6 mm) pronounced differences in growth and survival were observed, which depend on food availability and to a lesser degree on ambient temperature. We performed runs with an Individual-based Model (IBM) for Baltic cod larvae in order to demonstrate how natural variability in prey abundance influences the survival success of first feeding larvae. In the Baltic, this larval stage lives mainly between 20 and 40 m depth and feeds exclusively on the nauplii of different calanoid copepods (Acartia spp., Pseudocalanus acuspes, Temora longicornis and Centropages hamatus). Prey data obtained from vertically stratified samples in the Bornholm Basin (Baltic Sea) in 2001 and 2002 indicate a strong variability at spatial and temporal scales. We calculated larval survival and growth in relation to natural variation of prey fields, i.e. species-specific nauplius abundance. The results of the model runs yielded larval survival rates from 60 to 100% if the mean size of nauplii species was taken and lower survival if prey consisted of early nauplius stages only.
    Źródło:
    Oceanologia; 2008, 50, 2; 205-220
    0078-3234
    Pojawia się w:
    Oceanologia
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
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