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

Huawei Dai, Wenlong Li, Zi-zhen Li, Shounian Deng
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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.
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寄主-拟寄主代际生存模型的动态复杂性
在本研究中,寄主种群和寄生蜂种群的代不重叠用差分方程建模。对寄生蜂代际生存对模型的影响进行了定性研究。观察到许多形式的复杂性,包括(a)非唯一动力学,意味着多个吸引子共存,(b)具有分形特性的吸引子盆地(自相似模式和分形盆地边界),(c)吸引子危机,(d)具有窄或宽周期窗口的混沌带。
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