33 citations
9 papers
Simple mathematical models for controlling COVID-19 transmission through social distancing and community awareness
Ahmed S. Elgazzar
The novel COVID-19 pandemic is a current, major global health threat. Up till now, there is no fully approved pharmacological treatment or a vaccine. In this study, simple mathemat…
Quantum Symmetric Cooperative Game with a Harmonious Coalition
A. S. Elgazzar, H. A. Elrayes
The concept of forming harmonious coalitions is introduced to both classical and quantum symmetric cooperative game. In both cases, players are motivated to form coalitions. Also,…
New exact solutions of nonlinear variants of the RLW, the PHI-four and Boussinesq equations based on modified extended direct algebraic method
A. A. Soliman, H. A. Abdo
By means of modified extended direct algebraic method (MEDA) the multiple exact complex solutions of some different kinds of nonlinear partial differential equations are presented…
On differences between fractional and integer order differential equations for dynamical games
E. Ahmed, A. S. Elgazzar, M. I. Shehata
We argue that fractional order (FO) differential equations are more suitable to model complex adaptive systems (CAS). Hence they are applied in replicator equations for non-coopera…
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…
Sato-Crutchfield formulation for some Evolutionary Games
E. Ahmed, A. S. Hegazi, A. S. Elgazzar
The Sato-Crutchfield equations are studied analytically and numerically. The Sato-Crutchfield formulation is corresponding to losing memory. Then Sato-Crutchfield formulation is ap…