TOUIL, Asma (2017) EXISTENCE GLOBALE OU EXPLOSION EN TEMPS FINI DES SOLUTIONS D’EQUATION D’EVOLUTION. Doctoral thesis, Université de Batna 2.
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Abstract
The purpose of this thesis is to study the question of global existence of solutions for some non linear evolution equations. In the first part, we are interested with the study of some reaction-diffusion systems arising fromthe diffusion of an epidemic phenomena,with homogeneousNeumann boundary conditions and nonlinearities of weakly exponential growth. We establish a result on the global existence and the asymptotic behavior of these solutions via a Lyapunov functional. In the second part, a threshold condition, given by the basic reproduction number, determines the global stability of the equilibrium points. In the last, we deal with the stability analysis of equilibrium points of the ODE system corresponding to the system studied in the first part.
| Item Type: | Thesis (Doctoral) |
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| Subjects: | Mathématiques |
| Divisions: | Faculté des mathématiques et de l'informatique > Département des mathématiques |
| Date Deposited: | 07 Jun 2017 11:06 |
| Last Modified: | 07 Jun 2017 11:06 |
| URI: | http://eprints.univ-batna2.dz/id/eprint/1424 |
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