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- W4245790084 abstract "A population equation of Volterra, which generalizes the classical logistic equation for single species growth to include hereditary influences, is considered. Necessary as well as sufficient conditions are given for the existence of periodic solutions which bifurcate from the carrying capacity at certain, explicitly found critical values of the inherent birth rate. The method is that of an appropriate operator formulation of the equation suitable for the application of standard techniques from bifurcation theory available for completely continuous perturbations of compact linear operators. As a special case, we obtain some known results concerning constant time-lag models. Our results are also related to known asymptotic results for this equation of Volterra." @default.
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- W4245790084 date "1976-09-01" @default.
- W4245790084 modified "2023-09-26" @default.
- W4245790084 title "Periodic Solutions of Volterra’s Population Equation with Hereditary Effects" @default.
- W4245790084 doi "https://doi.org/10.1137/0131020" @default.
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