Analysis of the predator-prey model with climax prey population

Jitka Kühnová

Acta Mathematica Universitatis Ostraviensis (2009)

  • Volume: 17, Issue: 1, page 23-31
  • ISSN: 1804-1388

Abstract

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The aim of the contribution is to study ODE predator-prey system with a prey population embodying the Allee effect. Particular stationary points are analyzed and the results are illustrated by graphs of numerical solutions for various values of model parameters.

How to cite

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Kühnová, Jitka. "Analysis of the predator-prey model with climax prey population." Acta Mathematica Universitatis Ostraviensis 17.1 (2009): 23-31. <http://eudml.org/doc/35195>.

@article{Kühnová2009,
abstract = {The aim of the contribution is to study ODE predator-prey system with a prey population embodying the Allee effect. Particular stationary points are analyzed and the results are illustrated by graphs of numerical solutions for various values of model parameters.},
author = {Kühnová, Jitka},
journal = {Acta Mathematica Universitatis Ostraviensis},
keywords = {Predator-prey model; Allee efect; mathematical model; ordinary differential equations},
language = {eng},
number = {1},
pages = {23-31},
publisher = {University of Ostrava},
title = {Analysis of the predator-prey model with climax prey population},
url = {http://eudml.org/doc/35195},
volume = {17},
year = {2009},
}

TY - JOUR
AU - Kühnová, Jitka
TI - Analysis of the predator-prey model with climax prey population
JO - Acta Mathematica Universitatis Ostraviensis
PY - 2009
PB - University of Ostrava
VL - 17
IS - 1
SP - 23
EP - 31
AB - The aim of the contribution is to study ODE predator-prey system with a prey population embodying the Allee effect. Particular stationary points are analyzed and the results are illustrated by graphs of numerical solutions for various values of model parameters.
LA - eng
KW - Predator-prey model; Allee efect; mathematical model; ordinary differential equations
UR - http://eudml.org/doc/35195
ER -

References

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  1. Britton, N. F., Essential Mathematical Biology, Springer-Verlag London Limited, 2003 (2003) Zbl1037.92001MR1968417
  2. Kalas, J., Pospíšil, Z., Spojité modely v biologii, Brno, 2001 (2001) 
  3. Murray, J. D., Mathematical Biology, Springer-Verlag Berlin Heidelberg, 1989 (1989) Zbl0682.92001MR1007836

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