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Stability of the logistic population model with generalized piecewise constant delays

Stability of the logistic population model with generalized piecewise constant delays

In this paper, we consider the logistic equation with piecewise constant argument of generalized type. We analyze the stability of the trivial fixed point and the positive fixed point after reducing the equation into a nonautonomous difference equation. We also discuss the existence of bounded solutions for the reduced nonautonomous …