Structural sensitivity in the functional responses of predator–prey models

In mathematical modeling, several different functional forms can often be used to fit a data set equally well, especially if the is sparse. such cases, these mathematically but similar looking are typically considered interchangeable. Recent work, however, shows that responses may nonetheless result in significantly bifurcation points for Rosenzweig-MacArthur predator-prey system. Since behaviours include destabilising oscillations, predicting occurrence of clearly important. Ecologically, mean predictions obtained from models. These range stable coexistence extinction both species, so obtaining more accurate also important conservationists. Mathematically, this difference structure given called structural sensitivity. We extend existing work find Leslie-Gower-May system structurally sensitive response. Using and models, we then aim determine there some way obtain description our model not sensitive. first add stochasticity better similarity resulting structures achieved. Then, analyze using two methods which part each function contributes most observed behaviour. prey densities around steady state defining Lastly, propose procedure ecologists modelers increase accuracy systems.