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On Some SEIRS Epidemic Models
  
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KeyWord:Epidemiology, SEIRS model, stability of solution, invariant surface
Author NameAffiliation
Valery G. Romanovski Center for Applied Mathematics and Theoretical Physics, University of Maribor, Mladinska 3, SI-2000 Maribor, Slovenia
Faculty of Electrical Engineering and Computer Science, University of Maribor, Koro\v ska c. 46, 2000 Maribor, Slovenia
Faculty of Natural Science and Mathematics, University of Maribor, Koro\v ska c. 160, 2000 Maribor, Slovenia 
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Abstract:
      We discuss a few variations of the SEIRS epidemic model. How basic dynamical properties of the models can be derived by using some tools of the computer algebra system Mathematica is shown, and how invariant surfaces of the system can be found by using computer algebra system Singular is explained. Some numerical simulations are presented as well.