Abstract:
We study the question of determining all those parameters for which all positive solutions of the logistic equation with delay tend to zero as $ t \to \infty $. The well-known Wright conjecture [1] on the estimation of the set of such parameters is proved. A methodology has been developed that makes it possible to consistently refine this estimate.
Keywords:logistic equation, global stable, delay, one-dimensional mapping, asymptotics of solutions.