Local Sensitivity Analysis - It is a method to investigates the effect of small change in a parameter (input) of a model to its output (result). Mathematically this is: @@0@@
Where @@1@@ is result or output, @@2@@ is parameter with subscript representing @@3@@-parameter. Since a small change in the parameter is to be considered, the limiting value can be considered, i,e, @@4@@. This makes the above equation an ODE, which for the right side is: @@5@@
Solving the ODE and multiplying by factor @@6@@.
Below we perform the above operations for our fit-model (S-shaped)
Now we need to choose fixed values for @@0@@, @@1@@ and @@2@@ and letting @@3@@ be the original value. Let @@4@@, @@5@@, @@6@@ and let @@7@@
Next we do the same above exercise using other parameters. Let's say next we want to check with parameter @@0@@. Then first we get the differential @@1@@. Finally functional plots.
Now you can assign different values for @@0@@ and @@1@@ and continue as done above.