Title :
Dynamic Complexities in a Host-Parasitoid Model with Parasitoid Intergenerational Survival
Author :
Dai, Huawei ; Li, Wenlong ; Li, Zizhen ; Deng, Shounian
Author_Institution :
Sch. of Math. & Stat., Lanzhou Univ., Lanzhou, China
Abstract :
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.
Keywords :
biology; difference equations; attractions basin; attractor crises; chaotic bands; difference equations; dynamic complexity; fractal basin boundaries; host population; host-parasitoid model; nonunique dynamics; parasitoid intergenerational survival; parasitoid population; self-similarity pattern; Chaos; Computational modeling; Computer simulation; Difference equations; Electronic mail; Fractals; Insects; Mathematical model; Mathematics; Statistics; Bifurcation; Chaos; Dynamic complexity; Host-parasitoid model; Numerical simulation;
Conference_Titel :
Computer Modeling and Simulation, 2010. ICCMS '10. Second International Conference on
Conference_Location :
Sanya, Hainan
Print_ISBN :
978-1-4244-5642-0
Electronic_ISBN :
978-1-4244-5643-7
DOI :
10.1109/ICCMS.2010.170