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Periodicity and global dynamics of an impulsive delay Lasota-Wazewska model - MaRDI portal

Periodicity and global dynamics of an impulsive delay Lasota-Wazewska model (Q860574)

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scientific article; zbMATH DE number 5083280
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Periodicity and global dynamics of an impulsive delay Lasota-Wazewska model
scientific article; zbMATH DE number 5083280

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    Periodicity and global dynamics of an impulsive delay Lasota-Wazewska model (English)
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    9 January 2007
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    For the system \[ y'(t)=-\alpha(t)y(t)+\sum_{k=1}^m \beta_k(t)e^{-\gamma_k(t)y(t-m_k\omega)} \] \[ y(\tau_k^+)=(1+b_k)y(\tau_k) \] the authors obtain sufficient and/or necessary conditions for the existence of a positive periodic solution and for its global stability.
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    impulses
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    global stability
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