Linear stability of the delay logistic equation Original Research Article

The equation View the MathML sourcedydt=εy(t)(1−∑k=0nbky(t−kr)),ε>0,bk,r∈[0;∞),(0≤k≤n), has beendiscussed. It is shown that the stationary solution View the MathML sourcey≡1/∑k=0nbk is stable with respect to small perturbations when the sequence (bk) is nonnegative and convex.