43 citations
5 papers
An Overview of Complex Adaptive Systems
E. Ahmed, A. S. Elgazzar, A. S. Hegazi
Almost every biological, economic and social system is a complex adaptive system (CAS). Mathematical and computer models are relevant to CAS. Some approaches to modeling CAS are gi…
On complex adaptive systems and terrorism
E. Ahmed, A. S. Elgazzar, A. S. Hegazi
Complex adaptive systems (CAS) are ubiquitous in nature. They are basic in social sciences. An overview of CAS is given with emphasize on the occurrence of bad side effects to seem…
On Persistence and Stability of some Biological Systems with Cross Diffusion
E. Ahmed, A. S. Hegazi, A. S. Elgazzar
The concept of cross diffusion is applied to some biological systems. The conditions for persistence and Turing instability in the presence of cross diffusion are derived. Many exa…
Group-cograded multiplier Hopf (*-)algebras
A. T. Abd El-hafez, L. Delvaux, A. Van Daele
Let be a group and assume that is a family of algebras with identity. We have a {\it Hopf -coalgebra} (in the sense of Turaev) if, for each pair ,…
On Spatial Asymmetric Games
E. Ahmed, A. S. Hegazi, A. S. Elgazzar
The stability of some spatial asymmeric games is discussed. Both linear and nonlinear asymptotic stability of asymmetric hawk-dove and prisoner's dilemma are studied. Telegraph rea…