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

Volume

1

fYear

2010

Firstpage

257

Lastpage

260

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ICCMS.2010.170

Filename

5421392