SIR DYNAMICAL MODEL WITH DEMOGRAPHY AND LAGRANGE-HAMILTON GEOMETRIES

Autori: 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

Abstract

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.

Cuvinte cheie

(co)tangent bundles least squares Lagrangian and Hamiltonian Lagrange-Hamilton ge-ometries SIR model with demography.