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            <funder>Pauline Clin is supported by a Ph.D. fellowship from the INRAE “Plant Health and the Environment” Division and the Council of Brittany Region. Frédéric Hamelin acknowledges funding from the INRAE “Plant Health and the Environment” Division.</funder>
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                <term xml:lang="en">polymorphism</term>
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                <term xml:lang="en">systemic acquired resistance</term>
                <term xml:lang="en">priming</term>
                <term xml:lang="en">avirulent</term>
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              <p>Host mixtures are a promising method for agroecological plant disease control. Plant immunity is key to the success of host mixtures against polymorphic pathogen populations. This immunity results from priming-induced cross-protection, whereby plants able to resist infection by specific pathogen genotypes become more resistant to other pathogen genotypes. Strikingly, this phenomenon was absent from mathematical models aiming at designing host mixtures. We developed a model to specifically explore how priming affects the coexistence of two pathogen genotypes in host mixtures composed of two host genotypes and how it affects disease prevalence. The main effect of priming is to reduce the coexistence region in the parameter space (due to the cross-protection) and to generate a singular mixture of resistant and susceptible hosts corresponding to the maximal reduction disease prevalence (in absence of priming, a resistant pure stand is optimal). The epidemiological advantage of host mixtures over a resistant pure stand thus appears as a direct consequence of immune priming. We also showed that there is indirect cross-protection between host genotypes in a mixture. Moreover, the optimal mix prevents the emergence of a resistance-breaking pathogen genotype. Our results highlight the importance of considering immune priming to design optimal and sustainable host mixtures.</p>
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