A predator-prey Gompertz model with time delay and impulsive perturbations on the prey
The authors study existence of a periodic solution, permanence and global stability for the following impulsive system \[ \begin{cases} \frac{dx}{dt}=rx(t)\ln \frac{K}{x(t)}-\frac{x^2(t)}{1+mx^2(t)}y(t), \\ \frac{dy}{dt}=\beta \frac{x^2(t-\tau)}{1+mx^2(t-\tau)}y(t-\tau)-dy(t),& t\not =nT,\;n\in N, \\ \Delta x(t)=-px(t),~\Delta y(t)=0,& t=nt,\;n\in N. \end{cases} \]
scientific article; zbMATH DE number 5701459
scientific article