Mathematical Modeling of Population Dynamics Based on Recurrent Equations: Results and Prospects. Part II

Genetic polymorphism under cyclical selection in long-lived species: the complex effect of age structure and maternal selection

“…We focused on asymmetric cyclic selection, which allows us to describe fluctuations of environments similar to food resources cycles with rare peaks and prolonged decline of prey abundance. Such environment provides conditions for r-K selection, at which some genotypic groups rapidly propagate and therefore exhibit a high reproductive potential r (r-strategy), whereas other groups adapt to limited resources and present a high capacity of the ecological niche K (K-strategy) [9,10]. With the asymmetric external cycle, dominant genotypes that produce more offspring most often concede to recessive genotypes with low reproductive potential to be able to adapt to limited food resources.…”

Mathematical Modeling of the Evolutionary Dynamics of a Planktonic Community Using a Discrete-Time Model

“…Delay equations are often applied to model the blooming effect [25,26]. Recurrent equations, widely used in modeling populations and communities [27] and allowing us to describe delay effects naturally, are virtually unused in this subject area.…”