Open Access
Article
The Behavior of Spatially Homogeneous and Inhomogeneous Autocatalysis System at Infinity
M. Karimi Amalehmath6854@gmail.comDepartment of MathematicsHormozgan University. s:Hormozgan, IranView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 07 May 2014
- Accepted:
- 24 Jul 2014
- Published Online:
- 03 Dec 2014
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2014.979707
- Pages:
- 109–116
Abstract
This paper is devoted to the study of a two dimensional spatially homogeneous and inhomogeneous autocatalysis dynamical system. Using the infinite singularity theory and projecting on Poincare hemisphere, spatially homogeneous and inhomogeneous autocatalysis system behavior at infinity explains.
Keywords
Subject Classifications
: 34A3434C0734C23
References
- A.Hunding, P.G.Sorensen, Size adaptation of Turing prepatterns , J. Math. Biol . 26 ( 1988 ) 27 – 39 .
- J.D.Murray, Mathematical Biology , second ed ., Springer-Verlag , Berlin, 1993 .
- S.D.Scott, P.Gray, Chemical reactions in isothermal systems: oscillations and instabilities , in: Nonlinear Phenomena and Chaos , Adam Hilger , Bristol, 1986 .
- W.Han, Z.H.Bao, Hopf bifurcation analysis of a reactiondiffusion Selkov system , J. Math. Anal. Appl . 356 ( 2009 ) 633 – 641 .
- F.Q.Yi, J.J.Wei, J.P.Shi, Diffusion-driven instability and bifurcation in the LengyelEpstein system , Nonlinear Anal. RWA 9 ( 2008 ) 1038 – 1051 .
- F.Q.Yi, J.X.Liu, J.J.Wei, Spatiotemporal pattern formation and multiple bifurcations in a diffusive bimolecular model , Nonlinear Anal. RWA 11 ( 5 )
- J.F.Zhang, W.T.Li, X.P.Yan, Hopf bifurcation and Turing instability in spatial homogeneous and inhomogeneous predatorprey models , Appl. Math. Comput . 218 ( 2011 ) 1883 – 1893 .
- L.Perko, Differential equations and dynamical systems . New York , Springer-Verlag, 2001
Views: 39Downloads: 74Citations: 0




