Table 1.

Description of the model variables and parameters including their default values.

Symbol	Description	Default value
Variables
Hi	Healthy leaf area density cultivar i
Ei	Density of latent tissue area on cultivar i
Ii	Density of infectious tissue area on cultivar i
LSi	Lesion size on cultivar i
αi	Spore production capacity, i.e. number of spores produced per lesion per time unit
Parameters
θ	Fraction of the resistant cultivar within the landscape	[0…1]
gi	Cultivar-specific intrinsic host growth rate	1.5
K	Host population total carrying capacity	500
ωi	Cultivar-specific host mortality rate	0.02
1/γi	Cultivar-specific latent period	5
1/μi	Cultivar-specific infectious period	10
βmn	Infection efficiency of a spore produced by a lesion on cultivar n that lands on cultivar m	5 × 10−6
a	Upper asymptote of the spore production capacity versus lesion size relationship	200
b	Lesion size displacement of the spore production capacity versus lesion size relationship	−50
c	Slope of the spore production capacity versus lesion size relationship	−10
ɛ	Permanent shift in lesion size, i.e. lesions are generally smaller on the resistant cultivar	1500
σ	Relative strength of resistance for resistance scenario 1	0.8
ρ	Relative strength of resistance for resistance scenario 2	0.8