Existence of a Maximum of Time-Averaged Harvesting in the KPP Model on Sphere with Permanent and Impulse Harvestingстатья
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Дата последнего поиска статьи во внешних источниках: 17 апреля 2024 г.
Аннотация:A distributed renewable resource of any nature is considered on a two-dimensional sphere. Itsdynamics is described by a model of the Kolmogorov–Petrovsky–Piskunov–Fisher type, and the exploitationof this resource is carried out by constant or periodic impulse harvesting. It is shown that, after choosing an admissible exploitation strategy, the dynamics of the resource tend to limiting dynamics corresponding to this strategy and there is an admissible harvesting strategy that maximizes the time-averaged harvesting of the resource.