Dynamics of a physiologically structured population in a time-varying environment

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Physiologically structured population models have become a valuable tool to model the dynamics of populations. In a stationary environment such models can exhibit equilibrium solutions as well as periodic solutions. However, for many organisms the environment is not stationary, but varies more or less regularly. In order to understand the interaction between an external environmental forcing and the internal dynamics in a population, we examine the response of a physiologically structured population model to a periodic variation in the food resource. We explore the addition of forcing in two cases: (A) where the population dynamics is in equilibrium in a stationary environment, and (B) where the population dynamics exhibits a periodic solution in a stationary environment. When forcing is applied in case A, the solutions are mainly periodic. In case B the forcing signal interacts with the oscillations of the unforced system, and both periodic and irregular (quasi-periodic or chaotic) solutions occur. In both cases the periodic solutions include one and multiple period cycles, and each cycle can have several reproduction pulses.
Original languageEnglish
JournalEcological Complexity
Volume28
Pages (from-to)54-61
ISSN1476-945X
DOIs
Publication statusPublished - 2016
CitationsWeb of Science® Times Cited: No match on DOI

    Research areas

  • Structured population model, Periodic variation, Bifurcation diagram

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