6533b85bfe1ef96bd12bb641
RESEARCH PRODUCT
On the qualitative analysis of the solutions of a mathematical model of social dynamics
Maria Letizia BertottiMarcello Edoardo Delitalasubject
education.field_of_studyPopulation modelsDynamical systems theoryDiscretizationAsymptotic stabilityApplied MathematicsStochastic gamePopulationComplex systemBoltzmann modelsDynamical systemSocial dynamicsExponential stabilityApplied mathematicseducationKinetic theoryMathematical economicsNonlinearityMathematicsDiscretizationdescription
Abstract This work deals with a family of dynamical systems which were introduced in [M.L. Bertotti, M. Delitala, From discrete kinetic and stochastic game theory to modelling complex systems in applied sciences, Math. Models Methods Appl. Sci. 7 (2004) 1061–1084], modelling the evolution of a population of interacting individuals, distinguished by their social state. The existence of certain uniform distribution equilibria is proved and the asymptotic trend is investigated.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-10-01 | Applied Mathematics Letters |