Mohammad Reza Razvan

Papers

Integrating physics of the problem into data-driven methods to enhance elastic full-waveform inversion with uncertainty quantification,V Negahdari, SR Moghadasi, MR Razvan, Physica D: Nonlinear Phenomena, 2025
The role of resonator neuron in the dynamics of two coupled integrator and resonator neurons of different types of excitability, MR Razvan, S Yasaman, arXiv preprint, 2024
Stability and Hopf bifurcation in leech heart interneuron model, F Parvizi, M Razvan, Y Alipour Fakhri, Iranian Journal of Numerical Analysis and Optimization, 2023
Emergence of bursting in two coupled neurons of different types of excitability, MR Razvan, S Yasaman, Chaos, Solitons & Fractals, 2020
Hopf bifurcation of an age-structured virus infection model, H Mohebbi, A Aminataei, CJ Browne, MR Razvan, Discrete & Continuous Dynamical Systems, 2018
On the existence of canards in a nonlinear fluid system manifesting oscillatory behaviour, H Fallah, P Lundberg, MR Razvan, International Journal of Non-Linear Mechanics ,2018
Optimal Control of Differential Infectivity Models, M Afshar, MR Razvan, International Journal of Applied and Computational Mathematics, 2017
Bifurcation analysis and multistability detection of two delay-coupled FHN neurons, N Farajzadeh Tehrani, MR Razvan, arXiv, 2016
Stepwise Solutions for Optimal Control Problems, M Afshar, F Merrikh-Bayat, MR Razvan, Çankaya Üniversitesi Bilim ve Mühendislik Dergisi, 2016
Bifurcation structure of two coupled FHN neurons with delay, NF Tehrani, MR Razvan, Mathematical biosciences, 2015
Stepwise Methods in Optimal Control Problems, M Afshar, F Merrikhbayat, MR Razvan, arXiv, 2015
Symmetric bursting behaviors in the generalized FitzHugh–Nagumo model, AH Abbasian, H Fallah, MR Razvan, 2013, Biological cybernetics , 2013
Global analysis of a delay SVEIR epidemiological model , N Farajzadeh Tehrani, MR Razvan, S Yasaman, IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2013
 “Global Dynamics of a Differential Susceptibility Model” ” with S.Yasaman, International
Journal of Biomathematics 5 (2012).
 “Global Analysis of a Model of Differential Susceptibility Induced by Genetics” with S.Yasaman,
Nonlinear analysis: Real World Applications 12 (2011), 2183–2197.
 “Global Analysis of an SAIS Model” with S.Yasaman, Journal of Biological Dynamics
(2011), 1-8.
 "Global Stability of a Deterministic Model for HIV Infection in Vivo" with M.Dehghan and
M. Nasri, Chaos, Solitons and Fractals 34 (2007) 1225–1238
 “Multiple Equilibria for an SIS Epidemiological System”, with A. Katanforoush, to appear.
 “On the Poincare index of Isolated Invariant Sets”, with M. Fotouhi, to appear,
preprint math.DS/0102142.
 “Multiple Equilibria for an SIRS Epidemiological System”, preprint math.CA/0101051.
 “The Dynamics of a Vertically Transmitted Disease”, J. Prime Research, 3 (2007),
201-209.
 “Palais-Smale Conditions, Index Pairs and Critical Point Theory”, preprint
math.DS/0006203.
 “Lusternik-Schnirelmann Theory for a Morse Decomposition”, SEABM, 29 (2005),
1131-1138.
 “Some Relations among Lusternik-Schnirelmann Categories”, SEABM, 28 (2004),
539-546.
 “On Conley's Fundamental Theorem of Dynamical Systems”, Int. J. Math. Math. Sci.
(2004), 1397-1401.
 “Analysis of a Disease Transmission model in a Population with two Groups of
Infectives”, Meth. Appl. Anal. 9 (2002) 119-126.
 “Relative Ljusternik-Schnirelmann Category of Index Pairs and Applications to Critical
Point Theory, Proceedings of the 31st Iranian Mathematical Conference, (Tehran, 2000),
50-55.
 “The Dynamics of HIV/AIDS Transmission in an Open Environment”, with M. Hesaaraki,
Proceedings of the 31st Iranian Mathematical Conference, (Tehran, 2000), 84-107.
 “Lusternik-Schnirelmann Theory and Conley Index, a noncompact version”, Asian J.
Math. 4 (2000), 383-390.