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A Stage-Structured Predator-Prey Model in a Patchy Environment
Joint Authors
Lu, Xuejuan
Chen, Yuming
Liu, Shengqiang
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-08
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this paper, we propose a stage-structured predator-prey model with migrations among patches in an n-patch environment.
The net reproduction number for each patch in isolation is obtained along with the net reproduction number of the system of patches, ℛ0.
Inequalities describing the relationship among these numbers are also given.
Furthermore, threshold dynamics determined by ℛ0 is established: the predator dies out if ℛ0<1 while the predator persists if ℛ0>1.
Focusing on the case with two patches, we obtain that the dispersal decreases the net reproduction number ℛ0.
By numerical simulations, we find that the dispersal may be a good thing or a bad thing because the dispersal could make the predator population thrive or extinct, and hence we might seek steady state in the ecological environment by controlling parameters related to the prey and the predator.
American Psychological Association (APA)
Lu, Xuejuan& Chen, Yuming& Liu, Shengqiang. 2020. A Stage-Structured Predator-Prey Model in a Patchy Environment. Complexity،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1142683
Modern Language Association (MLA)
Lu, Xuejuan…[et al.]. A Stage-Structured Predator-Prey Model in a Patchy Environment. Complexity No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1142683
American Medical Association (AMA)
Lu, Xuejuan& Chen, Yuming& Liu, Shengqiang. A Stage-Structured Predator-Prey Model in a Patchy Environment. Complexity. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1142683
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142683