0000000001025569
AUTHOR
Sm Buccellato
Equilibrium in a duopoly game with homogeneous adaptive expectations and isoelastic demand
In this paper we consider a non linear discrete time Cournot duopoly game with isoelastic demand and where players have homogeneous adaptive expectations. The evolution of expected outputs over time is generated by the iteration of two-dimensional map and the long-run behavior is characterized by equilibrium points which are locally stable.
Mesure invariante d'une equation integrale stochastique a coefficients periodiques et applications a un modele d'epidemiologie
We consider a stochastic integral equation, whose coe cients are periodic in time. Under a suitable condition we prove the existence of an invariant mesure for this stochastic equation. This invariant mesure is constructed on a Banach space of continuous functions. We study also its application to an epidemiologic model of malaria, which concerns the infected population and the vector population.
SIRV epidemic model with stochastic perturbation
We propose a stochastic disease model where vaccination is included and such that the immunity is permanent. The existence, uniqueness and positivity of the solution and the stability of the disease free-equilibrium are studied