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Journal of Applied Mathematics and Computing
Erschienen in: Journal of Applied Mathematics and Computing 1-2/2020

24.03.2020 | Original Research

Allee effect can simplify the dynamics of a prey-predator model

verfasst von: Partha Sarathi Mandal, Udai Kumar, Koushik Garain, Rakhi Sharma

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2020

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Abstract

In this work, we investigate a prey-predator model which includes the Allee effect phenomena in prey growth function, density dependent death rate for predators and ratio dependent functional response. we fulfill a comprehensive bifurcation analysis, constructing the two-parametric bifurcation diagrams which describes the effect of density dependent death rate parameter, and also show possible phase portraits. We have also investigated the model in the absence of Allee effect and corresponding bifurcation diagram has been presented to show the dynamical changes in the system. Then we compare the properties of the ratio dependent prey-predator model with and without the Allee effect and show that Allee effect has a significant role in the dynamics. Allee effect can preserve local extinction of populations and suppress the stability of interior equilibrium point. Finally, all the analytical results are validated with the help of numerical simulations.
Vorheriger Artikel Updating reducts in fuzzy -covering via matrix approaches while coarsening and refining a covering element
Nächster Artikel Categories of quantale-valued fuzzy automata: determinization and minimization

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Metadaten
Titel
Allee effect can simplify the dynamics of a prey-predator model
verfasst von
Partha Sarathi Mandal
Udai Kumar
Koushik Garain
Rakhi Sharma
Publikationsdatum
24.03.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 1-2/2020
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-020-01337-4

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