Asymptotic behavior of a diffusive eco-epidemiological model with an infected prey population

Autor: Wonlyul Ko, Wonhyung Choi, Inkyung Ahn
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Advances in Difference Equations, Vol 2017, Iss 1, Pp 1-20 (2017)
Druh dokumentu: article
ISSN: 1687-1847
DOI: 10.1186/s13662-017-1290-3
Popis: Abstract We study a diffusive predator-prey system with a ratio-dependent functional response when a prey population is infected under homogeneous Neumann boundary condition. All non-negative and positive equilibria are investigated, and the conditions that give rise to asymptotic behavior of these equilibria are examined. In particular, we present a biological interpretation of disease-free and total extinction states. A comparison principle and the stability analysis for the parabolic problem are employed.
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