Inference for Ecological Dynamical Systems: A Case Study of Two Endemic Diseases

Table 1

Structural representation of SI state-event transitions.

Event path	Parameter	Transition	Flow in node		Flow out node		Flow difference		Change 𝝂𝑗
	𝛼𝑗	𝑒𝑗	𝑆^𝑗in	𝐼^𝑗in	𝑆^𝑗out	𝐼^𝑗out	Δ𝑆^𝑗=𝜈𝑗1	Δ𝐼^𝑗=𝜈𝑗2
𝒫1	𝛽/𝑁	𝑆𝐼	0	1	1	0	−1	1	𝝂1
𝒫2	𝜇𝑁	1	1	0	0	0	1	0	𝝂2
𝒫3	𝜇	𝑆	0	0	1	0	−1	0	𝝂3
𝒫4	𝛾	𝐼	0	0	0	1	0	−1	𝝂4
𝒫5	𝜇	𝐼	0	0	0	1	0	−1	𝝂5
𝒫6	𝜎	1	0	1	0	0	0	1	𝝂6
𝒫7	𝜇	𝑅	0	0	0	0	0	0	𝝂7