Table 1 Parameters of the model

model analysis

K

Carrying capacity local populations

100

I

Initial infection rates

0, 0.1

λ

mean offspring number

4

σ

standard deviation in mean offspring number; reflects environmental stochasticity

0, 0.5,...,4.5

μ

dispersal mortality

0.1, 0.15...,0.45

Sensitivity analysis

K

Carrying capacity

10, 250, 500

I

Initial infection rates

0.001, 0.01, 0.02, 0.50, 0.80