Coffee leaf rust ( CLR ) is one of the main diseases that affect coffee plantations worldwide . It is caused by the fungus Hemileia vastatrix . Damages induce severe yield losses (up to 70% ). Its control mainly relies on cultural practices and fungicides , the latter having harmful ecological impact and important cost . Our goal is to understand the propagation of this fungus in order to propose a biocontrol solution, based on a mycoparasite that inhibits H.~ vastatrix reproduction. We develop and explore a spatio -temporal model that describes CLR propagation in a coffee plantation during the rainy and dry seasons . We show the existence of a solution and prove that there exists two threshold parameters , the dry and rainy basic reproduction numbers , that determine the stability of the equilibria for the dry and rainy season subsystems . To illustrate these theoretical results , numerical simulations are performed , using a non-standard finite method to integrate the pest model . We also numerically investigate the biocontrol impact. We determine its efficiency threshold in order to ensure CLR eradication .
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