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

• Autorzy: Piotr Radziński , Urszula Foryś
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

predator-prey model, eco-epidemiology, local and global stability

PL

• Wydawca: Polish Mathematical Society
• Czasopismo: Mathematica Applicanda
• Rocznik: 2018
• Tom: 46
• Numer: 1

Daty

wydano

2018

online

2018-07-02

Twórcy

autor

Piotr Radziński

autor

Urszula Foryś

Identyfikatory

DOI

10.14708/ma.v46i1.6385