|
|||||
|
|
Optimal control of swinging alliances in a parabolic competition model |
|
| Authors: | E. Asano S. Lenhart V. Protopopescu |
| Affiliation: | a Department of Environmental Science, Policy and Geography University of South Florida, St. Petersburg, FL 33701, USA b Department of Mathematics, University of Tennessee, Knoxville, TN 37996-0612, USA c Computational Sciences and Engineering Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831-6016, USA |
| Abstract: | A system of parabolic partial differential equations describes the interaction of three populations, modeling a dynamic competition/cooperation scenario. More precisely, two populations are always competing with each other, but the third population can switch the mode of alliance with the other two populations between cooperation and competition. The control is a function measuring the strength and nature of the alliance and the goal is to maximize the population with the swinging alliance while keeping the other two populations close to each other and minimizing the cost of the alliance action. Various scenarios are illustrated with numerical results. |
| Keywords: | Optimal control Parabolic PDEs Competition Cooperation Opportunistic alliances |
| 本文献已被 ScienceDirect 等数据库收录！ | |