Table 2.
Summary of principal results with respect to the CSS (continuously stable strategy) lesion size and total healthy host density, in landscapes with both susceptible, S, and quantitatively resistant, R, cultivars of wheat. The fraction of resistance within the landscape is denoted by θ.
Resistance scenario 1: resistance affects upper limit of spore production with respect to lesion size (cf. Fig. 3A,C) | Resistance scenario 2: resistance affects growth rate of spore production with respect to lesion size (cf. Fig. 3B,D) | |
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CSS lesion sizes (LS) | ||
θ ≈ 0; ∼S only | LS on S ≈ LS in homogeneous S landscape | LS on S ≈ LS in homogeneous S landscape |
LS on R ≪ LS in homogeneous S landscape | LS on R ≪ LS in homogeneous S landscape | |
Heterogeneous landscape containing S and R | Linear increase in LS on S&R as fraction of R increases in the landscape | Nonlinear increase in LS on S&R as fraction of R increases in the landscape |
θ ≈ 1; ∼R only | LS on R ≈ LS in homogeneous R landscape | LS on R ≈ LS in homogeneous R landscape |
LS on S ≫ LS in homogeneous R landscape | LS on S > LS in homogeneous R landscape |