Dr. K. RAMESH

Associate Professor

drkrameshhs@anurag.edu.in

Biography

Dr. K. Ramesh is currently working as an Associate Professor of Mathematics at Anurag University, Hyderabad, Telangana. He obtained his M.Sc. in Applied Mathematics in the year 2003 from National Institute of Technology, Warangal. He received his Ph.D. form Osmania University, Hyderabad in the year 2013. His present research interests include Dynamical Systems, Mathematical Modeling, Mathematical Ecology, Mathematical Biology and Biomedicine, Epidemiology of Infectious Diseases. He has total 21+ years of teaching experience. He published 18 research papers in reputed international journals and also published two patents.

Research Interests

Dr. K. Ramesh’s research interests “Three Body Scattering problem “which is one of the fundamental problems in celestial mechanics. The classical Newtonian three-body gravitational problem has the subject of investigations for over four hundred years. Apart from the classical three body problem, restricted three body problem too has been of interests as it finds applications in satellite dynamics. An estimation of orbital elements in binary-binary encounters, encounters between single stars using numerical simulations. Also, the interaction of galaxies which often result in the formation of merged system or formation of galactic tails and bridges.

Teaching Interests

Linear Algebra, Calculus, Ordinary differential equations, Vector calculus, Numerical methods,Probability and Statistics, Functions of complex variables and computer oriented numerical methods.

Selected Publications

  1. Dynamical study of fractional order Leslie-Gower Model of Predator-Prey with Fear, Allee effect, and Inter-Species Rivalry, Results in Control and Optimization (2024) 14, 100403: 1-12
  2. Dynamics of an SEIR Epidemic Model with Saturated Incidence Rate including Stochastic Influence, Computational Methods for Differential Equations (2024) Vol.12(2):350-360
  3. Hopf Bifurcation and Stochastic Stability of a Prey-Predator Model Including Prey Refuge and Intra-specific Competition Between Predators, Int. J. Appl. Comput. Math, Aug (2022) 8:209.

Selected Awards and Honors

  1. Received certification in NPTEL from IIT Madras

External Profile Links

  • 2007-2013 Doctor of Philosophy in Mathematics, Department of Mathematics, Osmania University.
  • 2001-2003 Master of Science, in Applied Mathematics, National Institute of Technology, Warangal.
  • 1998-2001 Bachelor of Science in Mathematics, Physics and Chemistry, Kakatiya University
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