Fig. 4

Probability of persistence associated with different combinations of the number of patches (\(N\)), host growth rate (\(\lambda\)), and host-dependent parasitoid dispersal (\(\mu\)). The deterministic model predicts that persistence is never possible when host dispersal is random, but it is possible in the stochastic model as shown. The parameter combinations resulting in persistence increase as the number of patches increases. \(\alpha_{i} = 1/N\) for all i, and \(a\) = 1. The persistence probability in each parameter combination was estimated based on 10,000 simulations