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IMA Journal of Mathematical Control and Information 1998 15(3):269-284; doi:10.1093/imamci/15.3.269
© 1998 by Institute of Mathematics and its Applications
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Impulsive control of a Lotka-Volterra system

XINZHI LIU and KATRIN ROHLF

Department of Applied Mathematics, University of Waterloo Waterloo, Ontario N2L 3G1, Canada

This paper investigates control problems of a Lotka-Volterra population growth model. We assume that our only means of controlling the population dynamics is via impulses in the N1 population, i.e. adding or removing some members. With this impulsive control, we establish criteria for keeping all the species from going extinct by stabilizing some positive point, which may not be the equilibrium point of the system. Several examples are also worked out.


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