Global exponential stability of periodic solutions to a delay Lasota-Wazewska model with discontinuous harvesting (Q2789855)

The authors consider a Lasota-Ważewska model with multiple time-varying delays: NEWLINENEWLINE\[NEWLINE x'(t)=-a(t)x(t)+\sum_{i=1}^mp_i(t)e^{-q_{i}(t)x(t-\tau_{i}(t))}-b(t)H(x(t)),\tag{E}NEWLINE\]NEWLINE NEWLINEwhere \(a\), \(p_i\), \(q_i\), \(\tau_i\) and \(b\) are continuous \(T\)-periodic functions. Easily verifiable delay-independent criteria on the existence and global exponential stability of positive periodic solutions of (E) are established via nonsmooth analysis and the generalized Lyapunov method. A numerical simulation to demonstrate the theoretical results is also presented.