Impulsive control of a Lotka-Volterra system

1 September 1998

journal article
research article
Published by Oxford University Press (OUP) in IMA Journal of Mathematical Control and Information

Vol. 15 (3) , 269-284
https://doi.org/10.1093/imamci/15.3.269

Abstract

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.

Keywords

IMPULSIVE CONTROL
LOTKA VOLTERRA
EQUILIBRIUM POINT
POPULATION DYNAMICS
POPULATION GROWTH
VOLTERRA SYSTEM

This publication has 0 references indexed in Scilit: