Radziński, Piotr; Foryś, Urszula Ananysis of a predator-prey model with disease in the predator species. (English) Zbl 1463.92059 Math. Appl. (Warsaw) 46, No. 1, 137-147 (2018). Summary: In the paper we analyse a diffusive predator-prey model with disease in predator species proposed by M. Qiao et al. [J. Appl. Math. 2014, Article ID 236208, 9 p. (2014; Zbl 1437.92101)]. 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. [loc. cit.].We propose corrected conditions for global stability of one of existing equilibria – disease free steady state and endemic state in the case without diffusion as well as in the model with diffusion. On the basis of the corrected analysis we present new stability results. MSC: 92D25 Population dynamics (general) 92D40 Ecology 92D30 Epidemiology 34D23 Global stability of solutions to ordinary differential equations Keywords:predator-prey model; eco-epidemiology; local and global stability Citations:Zbl 1437.92101 PDFBibTeX XMLCite \textit{P. Radziński} and \textit{U. Foryś}, Math. Appl. (Warsaw) 46, No. 1, 137--147 (2018; Zbl 1463.92059) Full Text: DOI References: [1] C. Holling. The functional response of predators to prey density and its role in mimicry and population regulation.Memoirs of the Entomo-Logical Society of Canada, 45:5-60, 1965. ISSN 0071-075X (Print), 1920-3047 (Online).doi: 10.4039/entm9745fv. URLhttps://doi.org/10.4039/ entm9745fv. [2] S. B. Hsu and T. W. Huang. Global stability for a class of predator-prey systems.SIAM J. Appl. Math., 55(3):763-783, 1995. · Zbl 0832.34035 [3] R. M. May.Stability and Complexity in Model Ecosystems. Princeton University Press, 1973. ISBN 978-0-691-08861-7. [4] J. D. Murray.Mathematical Biology I. An Introduction. Springer, third edition, 2002. ISBN 978-0-387-22437-4.doi: 10.1137/S0036139993253201. URLhttps://doi.org/10.1137/S0036139993253201. · Zbl 1006.92001 [5] M. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.