MohammadReza Razvan's Homepage

My researches

Publications

Bifurcation structure of two coupled FHN neurons with delay, N. Farajzadeh Tehrani and M. R. Razvan, Mathematical Biosciences, Volume 270, Part A, December 2015, Pages 41-56 .
Symmetric bursting behaviors in the generalized FitzHugh-Nagumo model, A. Abbasian, H, Fallah and M. R. Razvan, Biol. Cybern (2013) 107: 465-476.
Global analysis of a delay SVEIR epidemiological model, N. Farajzadeh Tehrani, M. R. Razvan and S. Yasaman, IJST (2013) 37A4: 483-489.
Global Dynamics of a Differential Susceptibility Model, M. R. Razvan and S. Yasaman, Int. J. Biomath. 05, 1250046 (2012).
Global Analysis of a Model of Differential Susceptibility Induced by Genetics, M. R. Razvan and S. Yasaman, Real World Applications 12 (2011), 2183-2197.
On the Poincare Index of Isolated Invariant Sets , M. R. Razvan and M. Fotouhi, Sci. Ira, 15 (2008) 574-577.
Global Stability of a Deterministic Model for HIV Infection in Vivo, M.Dehghan, M. Nasri and M. R. Razvan , Chaos, Solitons and Fractals 34 (2007) 1225-1238
Multiple Equilibria for an SIRS Epidemiological System, M. R. Razvan, preprint math.CA/0101051.
The Dynamics of a Vertically Transmitted Disease, M. R. Razvan,J. Prime Research, 3 (2007),201-209.
Palais-Smale Conditions, Index Pairs and Critical Point Theory, M. R. Razvan, preprint math.DS/0006203.
Lusternik-Schnirelmann Theory for a Morse Decomposition, M. R. Razvan, SEABM, 29 (2005), 1131-1138.
Some Relations among Lusternik-Schnirelmann Categories, M. R. Razvan, SEABM, 28 (2004), 539-546.
On Conley's Fundamental Theorem of Dynamical Systems, M. R. Razvan, Int. J. Math. Math. Sci. (2004), 1397-1401.
Analysis of a Disease Transmission model in a Population with two Groups of Infectives, M. R. Razvan, Meth. Appl. Anal. 9 (2002) 119-126
Ljusternik-Schnirelmann Theory and Conley Index, a noncompact version, M. R. Razvan, Asian J. Math. 4 (2000), 383-390.
Multiple Equilibria for an SIS Epidemiological System, M. R. Razvan and A. Katanforoush Int. J. Info. sys. Sci, (2000).

Conferences

Mathematical Neuroscience, August 12-17, IPM, Tehran, Iran, 2008 (Organizer)
8th Conference on Differential Equations and Dynamical Systems, Isfahan University of Technology, Isfahan, Iran, (Scientific Committee)
7th Conference on Differential Equations and Dynamical Systems, Tabriz University, Tabriz, Iran, (Scientific Committee)
6th Conference on Differential Equations and Dynamical Systems, IASBS, Zanjan, Iran, (Scientific Committee)
3rd Conference on Topology and Geometry, Azarbaijan University, Tabriz, Iran, July 2004 (Scientific Committee)
Mathematical Control Theory, Classical versus Quantum Control, IASBS, Zanjan, Aug 2003. (Organizer)

Talks

Mathematical Models in Epidemiology", IPM, Tehran, Iran, Feb 2010.
Periodic Solutions in Neuronal Models" Sharif University, Nov 2009.
Topological Indices in Dynamical Systems", IPM, Tehran, Iran, Oct 2009.
Canards in Neuronal Models", IPM, Tehran, Iran, Aug 2008.
Particle-Mesh Method for water-flooding Problem with Multiple Injection/Production Wells, International Workshop on Efficient Techniques for Numerical Solutions of Coupled PDE's and Applications to Reservoir Simulation, IPM, Tehran, Iran, Dec 2003.
On The Poincare Index of Isolated Invariant Sets", 34 th Iranian Math Conference, Shahrood University, Shahrood, Iran.
Deformation in Manifolds", Conference on Geometry and Topology, Amir-Kabir University, Tehran, Iran, Feb 2003.
Morse Theory for Flows on Metric Spaces", IASBS, Zanjan, Iran, Mar 2002.
Index Filtration and Gradient-like flows", IPM, Tehran, Iran, Feb 2002.
Infinitely many Homoclinic Orbits for Planar Vector Fields", Workshop On Dynamical Systems, ICTP, Trieste, Italy, Aug 2001.
Duality in Lusternik-Schnirelmann Theory", ICTP, Trieste, Italy, Apr 2001.
Unifying Index Theories for Flows", IPM, Tehran, Iran, Nov 2000.
Index Pairs and Their topological Properties", IPM, Tehran, Iran, Oct 2002.
Topological Methods in Dynamical Systems", Tarbeyat Modarres University, Tehran, Iran, Oct 2002.
Conley Index and Critical point Theory", University of Tehran, Tehran, Iran, June 2000.