4 papers
Integrating the enveloping technique with the expansion strategy to establish stability
Ziyad AlSharawi, Jose S. Cánovas
In this paper, we focus on finding one-dimensional maps that detect global stability in multidimensional maps. We consider various local and global stability techniques in discrete…
Increasing delay as a strategy to prove stability
Ziyad AlSharawi, Jose S. Cánovas
We consider difference equations of the form and increase the delay through a process of successive substitutions to obtain a sequence of syste…
Constrained polynomial roots and a modulated approach to Schur stability
Ziyad AlSharawi, Jose S. Cánovas, Sadok Kallel
It is common in stability analysis to linearize a system and investigate the spectrum of the Jacobian matrix. This approach faces the challenge of determining the matrix spectrum w…
Global stability in the Ricker model with delay and stocking
Ziyad AlSharawi, Sadok Kallel
We consider the Ricker model with delay and constant or periodic stocking. We found that the high stocking density tends to neutralize the delay effect on stability. Conditions are…