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Journal of Dynamical and Control Systems
Erschienen in: Journal of Dynamical and Control Systems 1/2022

12.09.2020

Diffusive Epidemiological Predator–Prey Models with Ratio-Dependent Functional Responses and Nonlinear Incidence Rate

verfasst von: Kwangjoong Kim, Wonhyung Choi, Inkyung Ahn

Erschienen in: Journal of Dynamical and Control Systems | Ausgabe 1/2022

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Abstract

In this paper, when the predator breeds only by the prey, the relationship among the two classes of prey (susceptible and infected prey) and the predator is represented by using an epidemic model with nonlinear incidence and the response function depending on the density of the three individuals under homogeneous Dirichlet boundary conditions describing a hostile environment at its boundary. For this model, the coexistence steady state of three interacting species is mainly investigated, and the global stabilities of the extinction of all species and the survival of only healthy prey are discussed. Additionally, the conditions of the non-coexistence of three species are established. Finally, an ecological interpretation is also presented based on the results.
Vorheriger Artikel Singularities of Singular Solutions of First-Order Differential Equations of Clairaut Type
Nächster Artikel Generalized Compactness for Finite Perimeter Sets and Applications to the Isoperimetric Problem

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Metadaten
Titel
Diffusive Epidemiological Predator–Prey Models with Ratio-Dependent Functional Responses and Nonlinear Incidence Rate
verfasst von
Kwangjoong Kim
Wonhyung Choi
Inkyung Ahn
Publikationsdatum
12.09.2020
Verlag
Springer US
Erschienen in
Journal of Dynamical and Control Systems / Ausgabe 1/2022
Print ISSN: 1079-2724
Elektronische ISSN: 1573-8698
DOI
https://doi.org/10.1007/s10883-020-09512-3

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