Figure 2
From: Info-gap theory to determine cost-effective eradication of invasive species
Post-border spatial dispersal modelling10. After an individual invasive species enters location \(L\), the probability of its survival and establishment at location \(L\) is \(p_{L}^{E}\). The cost of non-survival is zero. The probability of it being detected after establishment with surveillance cost \(S_{L}\) spent at location \(L\) is \(p_{L}^{D} (S_{L} )\). Once detected, it will be eradicated with eradication cost \(Z_{L}^{E}\); if not, it will become widespread at location \(L\), or even move to other potential locations \(m = 1,2, \ldots ,n\backslash L\) with probability \(p_{L}^{S} w_{L}^{m}\) (\(p_{L}^{S}\) is a common coefficient that is specific to location \(L\), \(w_{L}^{m}\) is a spatial connection weight between location \(L\) and \(m\)) and another loop process starts. It is assumed that when the invasive species becomes widespread at location \(L\), the invasive species could be detected with 100% probability. The following eradication conducted with budget \(Z_{L}^{W}\) (much higher than \(Z_{L}^{E}\)), may fail with probability \(1 - p_{L}^{Suc}\). It should be noticed that \(\sum\nolimits_{m = 1}^{N} {w_{L}^{m} = 1,} \, m \in \{ 1,2, \ldots ,n\} \backslash L\).
