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Imagine a biological population composed of adult and juvenile individuals. Let N(t) denote the density of adults at time t. Assume that the length of the juvenile period is exactly h units of time for each individual. Assume that adults produce offspring at a per capita rate α and that their probability per unit of time of dying is μ. Assume that a newborn survives the juvenile period with probability ρ and put r = αρ. Then the dynamics of N can be described by the differential equation$$\dot N\left( t \right) = - \mu N\left( t \right) + rN\left( {t - h} \right)$$ ((1.1)) which involves a nonlocal term, where N has argument t — h, since newborns become adults with some delay. So the rate of change of N involves the current as well as the past values of N. Such equations are called Retarded Functional Differential Equations (RFDE) or, alternatively, Delay Equations.KeywordsPeriodic OrbitHopf BifurcationSolution OperatorDelay EquationJuvenile PeriodThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.