Opuscula Math. 33, no. 4 (2013), 615-630
http://dx.doi.org/10.7494/OpMath.2013.33.4.615

 
Opuscula Mathematica

Global existence and asymptotic behavior for a nonlinear degenerate SIS model

Tarik Ali Ziane

Abstract. In this paper we investigate the global existence and asymptotic behavior of a reaction diffusion system with degenerate diffusion arising in the modeling and the spatial spread of an epidemic disease.

Keywords: reaction diffusion systems, degenerate diffusion, global existence, asymptotic behavior, population dynamics.

Mathematics Subject Classification: 35K55, 35K57, 35K65, 35B40, 92D30.

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  • Tarik Ali Ziane
  • USTHB, Laboratoire AMNEDP, Faculté des Mathématiques, BP 32 El alia Bab Ezzouar, 16111, Algiers, Algeria
  • Received: 2012-06-16.
  • Accepted: 2012-11-23.
Opuscula Mathematica - cover

Cite this article as:
Tarik Ali Ziane, Global existence and asymptotic behavior for a nonlinear degenerate SIS model, Opuscula Math. 33, no. 4 (2013), 615-630, http://dx.doi.org/10.7494/OpMath.2013.33.4.615

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