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Habitat Adaptation Index In A Retarded Functional Equation of Population Dynamics

Peter O.K. Aiyelo, J.M. Tchuenche

Abstract



Consider herein are three classes of retarded functional integral equation, namely – those in which the deviation of the argument is a function of the dependent variable, that is of the unknown solution itself – secondly, those in which the lag is any given function – and lastly, those in which the time lag is a suitably chosen constant. In the latter case, we show using Fourier transform approach that the function u(t) is bounded if periodic. These equations might have a broad spectrum of applications in mathematical biology in general and population dynamics in particular. Indeed, the habitat adaptation index comes naturally into play here.

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