A discrete analogue of an integrodifferential equation
A discrete version of the integrodifferential equation dx(t)/dt = x(t) [a - x(t) - b integral(-infinity)(t) k(t - s)x(s) ds] is formulated. It is shown that the discrete equation has a globally asymptotically stable positive equilibrium under the same conditions with which the positive equilibrium of the integrodifferential equation is globally asymptotically stable. The integrodifferential equation has applications in population dynamics. (C) 1999 Elsevier Science Ltd. All rights reserved.
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