Djidjou-Demasse Ramsès, Lemdjo Cassandra, Seydi Ousmane. (2022). Global dynamics of a spore producing pathogens epidemic system with nonlocal diffusion process. In :
Seck D. (ed.), Kangni K. (ed.), Nang P. (ed.), Sambou M.S. (ed.). Nonlinear analysis, geometry and applications : Proceedings of the second NLAGA-BIRS Symposium, Cap Skirring, Senegal, January 25-30, 2022. Cham : Birkhäuser, 83-120. (Trends in Mathematics). NLAGA-BIRS Symposium, 2., Cap Skirring (SEN), 2022/01/25-30. ISBN 978-3-031-04615-5.
Titre du document
Global dynamics of a spore producing pathogens epidemic system with nonlocal diffusion process
Année de publication
2022
Type de document
Partie d'ouvrage
Auteurs
Djidjou-Demasse Ramsès, Lemdjo Cassandra, Seydi Ousmane
In
Seck D. (ed.), Kangni K. (ed.), Nang P. (ed.), Sambou M.S. (ed.) Nonlinear analysis, geometry and applications : Proceedings of the second NLAGA-BIRS Symposium, Cap Skirring, Senegal, January 25-30, 2022
Source
Cham : Birkhäuser, 2022,
83-120 (Trends in Mathematics). ISBN 978-3-031-04615-5
Colloque
NLAGA-BIRS Symposium, 2., Cap Skirring (SEN), 2022/01/25-30
In this paper, we analyze a nonlocal spatial epidemic model presenting the diffusion process of a spore producing plant pathogens responsible of one of the most destructive cocoa pods disease. The global existence, compactness and dissipativity of the semiflow generated by the system are established. By defining a threshold number (the basic reproduction number), we first express conditions for the existence of non-trivial stationary states. Next, we show that the qualitative dynamics of the model range from the extinction (i.e. the global stability of the disease-free stationary state), to the persistence (i.e. the global stability of the endemic stationary state) of the epidemics. Finally, we go through some simulations of our general analysis.
Plan de classement
Mathématiques [020MATH]
Localisation
Fonds IRD [F B010096110]
Identifiant IRD
fdi:010096110
