SIR DYNAMICAL MODEL WITH DEMOGRAPHY AND LAGRANGE-HAMILTON GEOMETRIES
MIRCEA NEAGU 1, ADRIANA VERONICA LITRĂ 2 1. Transilvania University of Brașov,
Faculty of Mathematics and Computer Science,
Department of Mathematics and Computer Science,
50, Iuliu Maniu Blvd., 500091 Brașov, ROMANIA
e-mail: mircea.neagu@unitbv.ro
2. Transilvania University of Brașov,
Faculty of Economic Sciences and Business Administration,
Department of Finance, Accounting and Economic Theory,
1, Colina Universității, Building A, 3-rd Floor, Brașov, ROMANIA
e-mail: adriana.litra@unitbv.ro
The aim of this paper is to develop, via the least squares variational method, the La-grange-Hamilton geometries (in the sense of nonlinear connections, d-torsions and La-grangian Yang-Mills electromagnetic-like energy) produced by the SIR dynamical system with demography in epidemiology. From a geometrical point of view, the Jacobi instabil-ity of this SIR dynamical system with demography is established. At the same time, some possible epidemiological and demographic interpretations are also derived.
