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
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.
- 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.