Structural sensitivity of global bifurcation structure in Hastings-Powell model

The classical Hastings-Powell model was introduced to capture the chaotic dynamics observed in a three-species food chain modeled by coupled nonlinear ordinary differential equations. Chaotic dynamics arise in HP model through period-doubling bifurcations of stable coexistence limit cycles, while chaotic attractors vanish due to basin boundary collision. This presentation focuses on the mathematical foundations of three-species population interaction model (HP model), emphasizing local and global bifurcation analyses. The ultimate objective is to discuss the structural sensitivity of chaotic dynamics under varying parameterizations of the functional responses. In particular, the dynamics of the model are compared when employing Holling type II functional responses versus Ivlev functional responses.