@incollection{fdi:010096110,
  title = {{G}lobal dynamics of a spore producing pathogens epidemic system with nonlocal diffusion process},
  author = {{D}jidjou-{D}emasse, {R}ams{\`e}s and {L}emdjo, {C}assandra and {S}eydi, {O}usmane},
  editor = {},
  language = {{ENG}},
  abstract = {{I}n 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. {T}he global existence, compactness and dissipativity of the semiflow generated by the system are established. {B}y defining a threshold number (the basic reproduction number), we first express conditions for the existence of non-trivial stationary states. {N}ext, 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. {F}inally, we go through some simulations of our general analysis.},
  keywords = {},
  booktitle = {{N}onlinear analysis, geometry and applications :  {P}roceedings of the second {NLAGA}-{BIRS} {S}ymposium, {C}ap {S}kirring, {S}enegal, {J}anuary 25-30, 2022},
  numero = {},
  pages = {83--120},
  address = {{C}ham},
  publisher = {{B}irkhäuser},
  series = {{T}rends in {M}athematics},
  year = {2022},
  DOI = {10.1007/978-3-031-04616-2_4},
  ISBN = {978-3-031-04615-5},
  URL = {https://www.documentation.ird.fr/hor/fdi:010096110},
}