Dynamic Complexities in a Host-Parasitoid Model with Parasitoid Intergenerational Survival

In this study, host and parasitoid populations whose generations with non-overlapping are modeled by difference equations. The effect of parasitoid intergenerational survival on the model is investigated qualitatively. Many form of complexities are observed, including (a) non-unique dynamics, meaning that several attractors coexist, (b) basins of attractions with fractal properties (pattern of self-similarity and fractal basin boundaries), (c) attractor crises, (d) chaotic bands with narrow or wide periodic windows.