On the interplay of harvesting and various diffusion strategies for spatially heterogeneous populations.

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ID: 90810
2019
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Abstract
The paper explores the influence of harvesting (or culling) on the outcome of the competition of two species in a spatially heterogeneous environment. The harvesting effort is assumed to be proportional to the space-dependent intrinsic growth rate. The differences between the two populations are the diffusion strategy and the harvesting intensity. In the absence of harvesting, competing populations may either coexist, or one of them may bring the other to extinction. If the latter is the case, introduction of any level of harvesting to the successful species guarantees survival to its non-harvested competitor. In the former case, there is a strip of "close enough" to each other harvesting rates leading to preservation of the original coexistence. Some estimates are obtained for the relation of the harvesting levels providing either coexistence or competitive exclusion.
Reference Key
braverman2019onjournal Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Braverman, Elena;Ilmer, Ilia;
Journal Journal of theoretical biology
Year 2019
DOI
S0022-5193(19)30036-0
URL
Keywords
harvesting competition global attractivity carrying capacity driven diffusion ideal free pair system of partial differential equations

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