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Ananysis of a predator-prey model with disease in the predator species. (English) Zbl 1463.92059

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

Citations:

Zbl 1437.92101
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References:

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