Chawla, Sanjay2019-11-122019-11-121999-12-13Chawla, S. (1999). A minmax problem for parabolic systems with competitive interactions. <i>Electronic Journal of Differential Equations, 1999</i>(50), pp. 1-18.1072-6691https://hdl.handle.net/10877/8791In 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.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalOptimal controlGame theorySaddle pointArticle