Table 1 Parameter values assumed in the model analysis

Initial number of people with mild to moderate disorders engaged with services

M₀

–

Initial number of people with severe disorders engaged with services

S₀

–

Initial population

P₀

1,000,000

Population increase per year

g

0

Per capita services engagement rate

i

0.05496

[15, 16]

Proportion of people with a severe disorder when they initially engage with services

γ

0

Per capita disease progression rate

v

0.5882

[15, 16]

Per capita spontaneous recovery rate

u

0.3096

[34]

Initial services capacity (services per year)

C₀

–

Services capacity increase per year

h

0

Services required per patient (mild to moderate disorders)

k

2

Ratio of services required for patients with severe disorders versus patients with mild to moderate disorders

θ

10

Proportion of patients recovering when treated

r

0.4460

[35]

Per capita mortality rate (mild to moderate disorders)

μ

0.008772

[36]

Mortality hazard ratio (severe disorders)

η

1.3971

[37]