A Stage-Structured Predator-Prey Model in a Patchy Environment

Xuejuan Lu, Yuming Chen and Shengqiang Liu

Complexity, 2020, vol. 2020, 1-13

Abstract:

In this paper, we propose a stage-structured predator-prey model with migrations among patches in an - patch environment. The net reproduction number for each patch in isolation is obtained along with the net reproduction number of the system of patches, . Inequalities describing the relationship among these numbers are also given. Furthermore, threshold dynamics determined by is established: the predator dies out if while the predator persists if . Focusing on the case with two patches, we obtain that the dispersal decreases the net reproduction number . 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.

Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/8503/2020/6028019.pdf (application/pdf)
http://downloads.hindawi.com/journals/8503/2020/6028019.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:6028019

DOI: 10.1155/2020/6028019

Access Statistics for this article

More articles in Complexity from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().