Ramos del Olmo, Ángel Manuel and Roubícek, Tomás (2007) Nash equilibria in noncooperative predator-prey games. Applied Mathematics & Optimization, 56 (2). pp. 211-241. ISSN 0095-4616
Official URL: http://www.springerlink.com/content/0095-4616/
A non-cooperative game governed by a distributed-parameter predator-prey system is consid-ered, assuming that two players control initial conditions for predator and prey, respectively. Existence of a Nash equlibrium is shown under the condition that the desired population pro¯les and the environ-mental carrying capacity for the prey are su±ciently small. A conceptual approximation algorithm is proposed and analyzed. Finally, numerical simulations are performed, too.
|Uncontrolled Keywords:||Reaction-diffusion system, Lotka-Volterra system, Nash equilibrium, 2nd-order analysis, Existence, Numerical simulations|
|Subjects:||Sciences > Mathematics > Differential equations|
|Deposited On:||09 Mar 2011 11:02|
|Last Modified:||09 Mar 2011 11:02|
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