Most recent preprints

  1. A. Ponosov, L. Idels, R. Kadiev,  A Novel Algorithm for Asymptotic Stability Analysis of Some Classes of Stochastic Time-Fractional Volterra Equations.https://www.sciencedirect.com/science/article/abs/pii/S1007570423004124. 
  2. A. Ponosov, L. Idels,Peano theorems for Ladde-type multi-scale stochastic differential equations driven by fractional noise. Submitted to Stochastic Analysis and Applications.
  3. L. Idels, R. Kadiev, A. Ponosov Novel Stochastic McKendrick-von Foerster Models with Applications, Differential Equations QUALITDE–2020, 87. 
  4. A. Ponosov, L. Idels, R. Kadiev Stochastic McKendrick–Von Foerster models with applications, Physica A: Statistical Mechanics and its Applications 537, 122641. 2020
  5.  L. Idels, R. Kadiev, A. Ponosov Stability of High-Order Linear Itô Equations with Delays, Applied Mathematics 9 (3), 250-263.  

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Preprints 2010-2016


      1. P. Amster and L. Idels, New Applications of M-matrix to Stability of High-order Linear Delayed Equations, Applied Mathematics Letters,  54  (2016)  1-6
      2. L. Berezansky, E. Braverman and L. Idels, Stabilisation for  Second Order Nonlinear Non-autonomous Delay Models,  International Journal of Control, Volume 88, 8 (2015) 1533-1539 Rank A .
      3. L. Berezansky, E. Braverman and L. Idels,  Stability Tests for Second Order Linear and Nonlinear Delayed Models,   Nonlinear Differential Equations and Applications NoDEA, 22 (2015) 1523-1543 . Rank A
      4. L. Berezansky, E. Braverman and L. Idels, Effect of Treatment on the Global Dynamics of Delayed Pathological Angiogenesis Models,  Journal of Theoretical Biology 363 (21) (2014) 13-21  Rank A
      5. L. Berezansky, E. Braverman and L. Idels, New Global Exponential Stability Criteria for Nonlinear Delay Differential Systems with Applications to BAM Neural Networks,  Applied Mathematics and Computation, 243 ( 2014)  899 -910  Rank A
      6. P. Amster and L. Idels, Existence Theorems for Some Abstract Nonlinear Non-autonomous Systems with Delays,  Communications in Nonlinear Science and Numerical Simulation 19 (2014) 2974-2982  Rank B
      7. L. Berezansky, E. Braverman and L. Idels, The Mackey-Glass Model of Hematopoiesis with Non-monotone Feedback: Stability, Oscillation and Control,  Applied Math. and Computation 219 (2013) 6268-6283. Rank A
      8. P. Amster and L. Idels, Periodic Solutions in General Scalar Models of Population Dynamics with Delays,  Nonlinear Differential Equations and Applications NoDEA: Volume 20, Issue 5 (2013)  1577-1596  Rank A
      9. P. Amster, R.  Balderrama* and L. Idels, Existence of Periodic Solutions in the Modified Wheldon Model of CML, Electron. J. Diff. Equ.,  272 (2013)   1-14 . Rank B
      10. L. Berezansky, E. Braverman and L. Idels, Mackey-Glass model of hematopoiesis with monotone feedback revisited, Applied Math. and Computation 219 (2013) 4892-4907.  Rank A
      11. P. Amster and L. Idels, Periodic Solutions of Nonautonomous Mackey-type Systems with Delay, Jour. Abstr. Differ. Equ. Appl. Vol. 4 (2013),  1, 11-22


      1. L. Berezansky, E. Braverman and L. Idels, Mackey-Glass Model of Respiratory Dynamics:  Review and New Results, Nonlinear Analysis Series A: TMA 75 (2012) 6034-6052
      2. C. Christou* and L. Idels, Bioeconomical Ricker's Model of Marine Protected Areas EJDE Vol. 2012 (2012), No. 76, pp. 1-11.  Rank B
      3. P. Amster, L. Berezansky and L. Idels, Stability of Hahnfeldt Angiogenesis Models with Time Lags,  Math. and Computer Modelling 55 (2012) 2052-2060.   Rank B
      4. P. Amster, L. Berezansky and L. Idels, Periodic Solutions of Angiogenesis Models with Time Lags, Nonlinear Analysis Series B: RWA  13 ( 2012) 299-311.  Rank B
      5. L. Berezansky, L. Idels and L. Troib*, Global Dynamics of NicholsoType Delay Systems with Applications, Nonlinear Analysis Series B: Real World Applications 12 (2011) 436-445.   Rank B
      6. L. Berezansky, L. Idels and L. Troib*, Global Dynamics of One Class of Nonlinear Non-autonomous Systems with Time-Varying Delays,   Nonlinear Analysis: TMA 74  (2011) 7499-7512   Rank A
      7. L. Berezansky, E. Braverman and L. Idels, Nicholson’s Blowflies Differential Equations Revisited: Main Results and Open Problems, Applied Math Modelling 34 (6) 1405-17  Rank B Top Cited Article 
      8. L. Berezansky, L. Idels and M. Kipnis, Mathematical Model of Marine Protected Area, IMA Journal of Applied Math 76 (2)  312-325.    Rank A 


    1. 2004-2009


      L. Idels and M. Kipnis, Stability Criteria for a Nonautonomous Nonlinear System with Delay, Applied Mathematical Modelling 33 (5) 2293-2297.   


      L. Berezansky and L. Idels, Periodic Fox Harvesting Models with Delay, Applied Mathematics and Computation 195 (1) 142-153. 


      L. Idels and M. Wang*, Harvesting Strategies with Modified Effort Function, Intern. J. of Model., Identification and Control, Special issue “Modeling Complex Systems”  (IJMIC)  3 (1)   83-87.         


      L. Berezansky and L. Idels, Stability of Time-varying Fishing Model with Delay, Appl. Math. Letters 21 447-452.        


      L. Berezansky and L. Idels, Population Models with Delay in Periodic Environment, Intern. J. of Qualitative Theory of Differential Equations and Applications: Serials Publications 1,  19-27.        
       
       L. Idels, Stability Analysis of Periodic Fox Production Models, Canadian Applied Math. Quarterly 14 (3)  333-343.  




      L. Berezansky,  E. Braverman and L. Idels, On Delay Differential  Equations With Hill's Type Growth Rate and Linear Harvesting, Computers and Mathematics with Applications 49  549-563.          


      L. Berezansky and L. Idels, Oscillation and asymptotic stability of delay differential equation with Richards’ nonlinearity, Electronic Journal of Differential Equations 12,   21-27.   




      L. Berezansky, E. Braverman and L. Idels, On Oscillation in Nonlinear Delay Differential Equations, Proc. of the Inter. Conf. on Fixed Point Theory and its Applications, Valencia, Spain, Jokahama Publishers,  Japan pp. 14. 


      L. Berezansky, E. Braverman and L. Idels, Delay Differential Logistic Equations With Harvesting, Math. and Computer Modelling  39  1243-1259.             




      *  PhD student