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2017 | OriginalPaper | Buchkapitel

6. Almost Periodic Competitive Systems

verfasst von : Xiao-Qiang Zhao

Erschienen in: Dynamical Systems in Population Biology

Verlag: Springer International Publishing

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Abstract

In the periodic chemostat model discussed in the previous chapter, we assumed that the nutrient input, dilution, and species-specific removal rates were all periodic with commensurate period. It is possible for these parameters to have different periods. Ecologically, a population may be of some inherent periodic variation that may be different from the seasonal variation. This way we naturally obtain special almost periodic systems. Moreover, the almost periodicity can also be viewed as a deterministic version of a random variation in the environment. This chapter is devoted to the study of the long-term behavior of solutions and almost periodic coexistence states in almost periodic Kolmogrov competitive systems of ordinary differential equations and an almost periodic chemostat. We also discuss competitive coexistence in nonautonomous two-species competitive Lotka–Volterra systems.

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Metadaten
Titel
Almost Periodic Competitive Systems
verfasst von
Xiao-Qiang Zhao
Copyright-Jahr
2017
DOI
https://doi.org/10.1007/978-3-319-56433-3_6