Existence of an Optimal Stationary Solution in the KPP Model under Nonlocal Competition

• Published in: Proceedings of the Steklov Institute of Mathematics Vol. 327; no. Suppl 1; pp. S66 - S73
• Main Authors: Davydov, A. A., Platov, A. S., Tunitsky, D. V.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Moscow Pleiades Publishing 01.12.2024; Springer Nature B.V
• Subjects: Earth surface; Mathematics; Mathematics and Statistics; KPP model; time-averaged harvesting; stationary solution; optimal strategy

We consider a resource distributed on a compact closed connected manifold without edge, for example, on a two-dimensional sphere representing the Earth surface. The dynamics of the resource is governed by a model of the Fisher–Kolmogorov–Petrovsky–Piskunov type with coefficients in the reaction term...