Stability of Rosenzweig–MacArthur models with non-diffusive dispersal on non-regular networks

Ryusuke Kon and Dinesh Kumar

Theoretical Population Biology, 2023, vol. 150, issue C, 14-22

Abstract: This paper examines the stability of the Rosenzweig–MacArthur model distributed to identical discrete habitat patches. Migration between patches is assumed to follow the non-diffusive rule that individuals have a fixed rate of leaving their local habitat patch and migrating to another. Under this non-diffusive migration rule, we found that population dispersal on a non-regular and connected habitat network can both stabilize and destabilize the Rosenzweig–MacArthur model. It is also shown that our non-diffusive migration rule apparently becomes diffusive if the habitat network is regular.

Keywords: Rosenzweig–MacArthur model; Stability; Network structure; Geometric singular perturbation theory (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:150:y:2023:i:c:p:14-22

DOI: 10.1016/j.tpb.2023.02.002

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