  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.
