Dr. K. RAMESH

Associate Professor

[email protected]

Biography

Dr. K. Ramesh received a Master of Science (Applied Mathematics) from National Institute of Technology, Warangal, in 2003, and a Ph. D in Mathematics from Osmania University, Hyderabad in 2013. His initial academic appointment was at C.V.S.R College of Engineering as Asst Professor in 2003. He served as Additional controller of examinations from 2005-07. He is also the life member of APTSMS.

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. Hopf Bifurcation and Stochastic Stability of a Prey-Predator Model Including Prey Refuge and Intra-specific Competition Between Predators, Int. J. Appl. Comput. Math (2022) 8:209.
  2. Dynamics of bio Economic and Optimal Harvesting in Multi Species Fish Population Dynamical System, Annals of R.S.C.B., ISSN:1583-6258, Vol. 25, Issue 6, 2021, Pages. 17195-17211.
  3. Spatiotemporal and Delay Dynamics on a Prey–Predator Fishery Model, Springer Nature Singapore Pte Ltd. 2020, R. R. Chillarige et al. (eds.), Advances in Computational Intelligence and Informatics, Lecture Notes in Networks and Systems 119.
  4. Diffusion effect on stability of interacting species – competition, AIP Conference Proceedings 2246, 020015 (2020).
  5. Periodic Changes in the Synodic Period of the Moon and Its Relation with the Advance of its Perigee, International Journal of Mathematical Sciences and Engineering Applications, ISSN 0973-9424, vol.7, No. IV, 2013.
  6. Study of Motion of Three Bodies with Numerical Results, Global Journal of Theoretical and Applied Mathematics Sciences, ISSN 2248-9916, vol.1, 2011.

Selected Awards and Honors

Education

  • 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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