Ananysis of a predator-prey model with disease in the predator species

Piotr Radziński, and Urszula Foryś. "Ananysis of a predator-prey model with disease in the predator species." Mathematica Applicanda 46.1 (2018): null. <http://eudml.org/doc/292684>.

@article{PiotrRadziński2018,
abstract = {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.},
author = {Piotr Radziński, Urszula Foryś},
journal = {Mathematica Applicanda},
keywords = {predator-prey model, eco-epidemiology, local and global stability},
language = {eng},
number = {1},
pages = {null},
title = {Ananysis of a predator-prey model with disease in the predator species},
url = {http://eudml.org/doc/292684},
volume = {46},
year = {2018},
}

TY - JOUR
AU - Piotr Radziński
AU - Urszula Foryś
TI - Ananysis of a predator-prey model with disease in the predator species
JO - Mathematica Applicanda
PY - 2018
VL - 46
IS - 1
SP - null
AB - 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.
LA - eng
KW - predator-prey model, eco-epidemiology, local and global stability
UR - http://eudml.org/doc/292684
ER -