Permanence and Extinction of a Diffusive Predator–Prey Model with Robin Boundary Conditions

The main concern of this paper is to study the dynamic of a predator–prey system with diffusion. It incorporates the Holling-type-II and a modified Leslie–Gower functional responses under Robin boundary conditions. More concretely, we study the dissipativeness of the system by using the comparison p...

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Bibliographic Details
Published inActa biotheoretica Vol. 66; no. 4; pp. 367 - 378
Main Authors Aziz-Alaoui, M. A., Daher Okiye, M., Moussaoui, A.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.12.2018
Springer Nature B.V
Subjects
Animals
Boundary conditions
Diffusion
Ecology
Ecosystem
Education
Evolutionary Biology
Extinction
Food Chain
Models, Biological
Philosophy
Philosophy of Biology
Population Dynamics
Predatory Behavior
Prey
Regular Article
Extinction
37N25
Predator–prey
Robin boundary conditions
35B40
Permanence
Reaction–diffusion
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Summary:The main concern of this paper is to study the dynamic of a predator–prey system with diffusion. It incorporates the Holling-type-II and a modified Leslie–Gower functional responses under Robin boundary conditions. More concretely, we study the dissipativeness of the system by using the comparison principle, and we derive a criteria for permanence and for predator extinction.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:0001-5342
1572-8358
DOI:10.1007/s10441-018-9332-0