The dynamics of a cooperative difference system with coefficient a Metzler matrix

DOI10.1080/10236198.2013.799153zbMath1298.39017OpenAlexW1996417495MaRDI QIDQ4979801

George L. Karakostas

Publication date: 19 June 2014

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2013.799153

zbMATH Keywords

convergencespectral radius\(M\)-matrixbasin of attractiondifference equationattractivitycooperative systemMetzler matrixglobal attractionunstable critical point

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory for difference equations (39A30)

Related Items (4)

New class of solvable systems of difference equations ⋮ Solvability of a product-type system of difference equations with six parameters ⋮ Properties of basins of attraction for planar discrete cooperative maps ⋮ A four-dimensional solvable system of difference equations in the complex domain

Cites Work

• Unnamed Item
• On some solvable systems of difference equations
• Study of the asymptotic behavior of the solutions of three systems of difference equations of exponential form
• Global stability in job systems
• M-matrix characterizations. I: nonsingular M-matrices
• On the global character of solutions of the system:
• Global Stability in Ecological Systems with Continuous Time Delay

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