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The “Destabilizing” Effect of Cannibalism in a Spatially Explicit Three-Species Age Structured Predator-Prey Model
Joint Authors
Giffin, Adom
Al Basheer, Aladeen
Lyu, Jingjing
Parshad, Rana D.
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-11
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Cannibalism, the act of killing and consumption of conspecifics, is generally considered to be a stabilising process in ODE models of predator-prey systems.
On the other hand, Sun et al.
were the first to show that cannibalism can cause Turing instability, in the classical Rosenzweig-McArthur two-species PDE model, which is an impossibility without cannibalism.
Magnússon’s classic work is the first to show that cannibalism in a structured three-species predator-prey ODE model can actually be destabilising.
In the current manuscript we consider the PDE form of the three-species model proposed in Magnússon’s classic work.
We prove that, in the absence of cannibalism, Turing instability is an impossibility in this model, for any range of parameters.
However, the inclusion of cannibalism can cause Turing instability.
Thus, to the best of our knowledge, we report the first cannibalism induced Turing instability result, in spatially explicit three-species age structured predator-prey systems.
We also show that, in the classical ODE model proposed by Magnússon, cannibalism can act as a life boat mechanism, for the prey.
American Psychological Association (APA)
Al Basheer, Aladeen& Lyu, Jingjing& Giffin, Adom& Parshad, Rana D.. 2017. The “Destabilizing” Effect of Cannibalism in a Spatially Explicit Three-Species Age Structured Predator-Prey Model. Complexity،Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1142791
Modern Language Association (MLA)
Al Basheer, Aladeen…[et al.]. The “Destabilizing” Effect of Cannibalism in a Spatially Explicit Three-Species Age Structured Predator-Prey Model. Complexity No. 2017 (2017), pp.1-15.
https://search.emarefa.net/detail/BIM-1142791
American Medical Association (AMA)
Al Basheer, Aladeen& Lyu, Jingjing& Giffin, Adom& Parshad, Rana D.. The “Destabilizing” Effect of Cannibalism in a Spatially Explicit Three-Species Age Structured Predator-Prey Model. Complexity. 2017. Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1142791
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142791