Abstract
The standard model of a single population fragmented into two patches connected by migration, was first introduced in the 1970s by Freedman and Waltman, since generating long-term research interest, though its full analysis for arbitrary values of migration rate has only been completed relatively recently. Here, we present a model of two competing species in a two-patch habitat with migrations between patches. We derive equilibrium solutions of this model for three cases of migration rate resulting in isolated, well-mixed and semi-isolated habitats. We evaluate the full range of effects of habitat, life-history and migration parameters on population sizes. Finally, we add harvesting mortality and define conditions under which introduction of a no-harvesting (protected) area may lead to increased maximum sustainable yield. The results have applications in mixed fishery management and the design of wildlife protection zones, including marine protected areas (MPAs).
| Original language | English |
|---|---|
| Pages (from-to) | 114-122 |
| Number of pages | 9 |
| Journal | Theoretical Population Biology |
| Volume | 142 |
| Early online date | 15 Nov 2021 |
| DOIs | |
| Publication status | Published - 08 Dec 2021 |
Bibliographical note
Copyright © 2021 Elsevier Inc. All rights reserved.
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- Model of two competing populations in two habitats with migration, gives optimal size of protected area
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