Geodesic
Ananysis of a predator-prey model with disease in the predator species
Mathematica Applicanda, Tome 46 (2018) no. 1, pp. 137-147.

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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.
DOI : 10.14708/ma.v46i1.6385
Classification : 92D40, 92D30
Mots-clés : predator-prey model, eco-epidemiology, local and global stability 
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Piotr Radziński; Urszula Foryś. Ananysis of a predator-prey model with disease in the predator species. Mathematica Applicanda, Tome 46 (2018) no. 1, pp.  137-147. doi : 10.14708/ma.v46i1.6385. http://geodesic.mathdoc.fr/articles/10.14708/ma.v46i1.6385/

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