A Minmax Problem for Parabolic Systems with Competitive Interactions
| dc.contributor.author | Chawla, Sanjay | |
| dc.date.accessioned | 2019-11-12T19:34:08Z | |
| dc.date.available | 2019-11-12T19:34:08Z | |
| dc.date.issued | 1999-12-13 | |
| dc.description.abstract | In this paper we model the evolution and interaction between two competing populations as a system of parabolic partial differential equations. The interaction between the two populations is quantified by the presence of non-local terms in the system of equations. We model the whole system as a two-person zero-sum game where the gains accrued by one population necessarily translate into the others loss. For a suitably chosen objective functional (pay-off) we establish and characterize the saddle point of the game. The controls(strategies) are kernels of the interaction terms. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Chawla, S. (1999). A minmax problem for parabolic systems with competitive interactions. <i>Electronic Journal of Differential Equations, 1999</i>(50), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/8791 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Optimal control | |
| dc.subject | Game theory | |
| dc.subject | Saddle point | |
| dc.title | A Minmax Problem for Parabolic Systems with Competitive Interactions | |
| dc.type | Article |