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- W2330344485 abstract "We consider the Trojan Y Chromosome (TYC) model for eradication of invasive species in population dynamics. We present global estimates for the TYC system in a spatial domain. In this work we prove the existence of a global attractor for the system. We derive uniform estimates to tackle the question of asymptotic compactness of the semi-group for the TYC model in $H^2(Omega)$. This along with the existence of a bounded absorbing set, which we also derive, demonstrates the existence of a global attractor for the TYC model. The present analysis reveals that extinction of an invasive species is always possible to achieve irrespective of geometric considerations of the domain. This result is valid for TYC systems in which advection is negligible. This theoretical work lays the foundation for experimental studies of the application of the TYC eradication strategy in spatial ecology, since the outcome is in principle guaranteed." @default.
- W2330344485 created "2016-06-24" @default.
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- W2330344485 date "2010-11-01" @default.
- W2330344485 modified "2023-09-26" @default.
- W2330344485 title "On the global attractor of the Trojan Y Chromosome model" @default.
- W2330344485 cites W2102128253 @default.
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- W2330344485 doi "https://doi.org/10.3934/cpaa.2011.10.339" @default.
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