population dynamics age-structured models periodic solutions oscillations nonlinear delay equations Laboratory for Numerical Methods
Institute of Mathematics with Computer Center at the Bulgarian Academy of Sciences
We consider an age-structured model of population dynamics with vital rates depending on the size of a certain age class, the so called dominant age group. We introduce the notion of “totally oscillatory solutions” of an age-dependent model. These are solutions whose total population size oscillates. We demonstrate that the dominant age-dependent model admits totally oscillatory solutions. Numerical examples illustrate the theory.