journal-of-dynamical-systems-and-geometric-theories Journal of Dynamical Systems and Geometric Theories 2169-0057 1726-037X Taru Publications 10.1080/1726037X.2008.10698541 Jet Riemann-Lagrange Geometry and Some Applications in Theoretical Biology Nicola Ileana Rodica Department of Mathematics I, Faculty of Applied Sciences, University Politehnica of Bucharest, Splaiul Independenţei 313, Bucharest, 060042, Romania Neagu Mircea Faculty of Mathematics and Informatics, University Transilvania of Braşov, Str. Lămâiţei, Nr. 66, Bl. 93, Sc. G, Ap. 10, Braşov Bv 500371, Romania 6 1 13 25 03 06 2013

The aim of this paper is to construct a natural Riemann-Lagrange differential geometry on 1-jet spaces, in the sense of nonlinear connections, generalized Cartan connections, d-torsions, d-curvatures, jet electromagnetic fields and jet electromagnetic Yang-Mills energies, starting from some given nonlinear evolution ODEs systems modelling biologic phenomena like the cancer cell population model or the infection by human immunodeficiency virus-type 1 (HIV-1) model.

 1-jet spaces jet least squares Lagrangian functions jet Riemann-Lagrange geometry cancer cell population evolution model infection by HIV-1 evolution model access open retracted no