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