Abstract

Outbreaks of individual species populations are important phenomena in many aspects and are not alike in terms of the theory of multispecies community dynamics. Outbreaks of insect populations develop more quickly with long-lasting effects experienced by the forest industry. These events are considered as extreme unbalanced and transient processes. The mechanisms of the development and subsidence of insect outbreaks differ in different taxonomic groups of pests. The duration and occurrence of repeated outbreaks of psyllids and forest moths, which affect deciduous or coniferous forests in the same region, are different. Computational simulation is needed for understanding the dynamics of insect outbreaks. For the mathematical description of the outbreaks of forest tent caterpillar, in addition to the threshold version of the development of the insect outbreak, it is interesting to modify continuous computational models for the analysis of fluctuation dynamics. In this paper, we simulate the dynamics of spontaneously damping oscillations under a specific scenario during a population outbreak using a continuous model with delayed regulation and nonlinear counteraction by the biotic environment. The scenario described by the new phenomenological equation, which consists of a series of maxima of different sizes and final attenuation of peaks near balance, occurs for the pest tent caterpillar, Malacosoma disstria, which affects deciduous forests in North America leading to large-scale defoliation. The new scenario is qualitatively different from our model of the threshold development and subsidence of outbreaks of the psyllid Cardiaspina albitextura in Australia.

中文翻译：

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食虫蛾，毛毛虫，疟原虫（鳞翅目，鳞翅目科）的种群爆发振荡的连续模型。

摘要

在许多方面，单个物种种群的爆发是重要的现象，就多物种群落动力学的理论而言并非如此。昆虫种群的爆发发展得更快，并具有林业所经历的长期影响。这些事件被认为是极端的不平衡和短暂过程。在不同的有害生物分类组中，昆虫爆发的发展和下沉机制不同。影响同一地区的落叶或针叶林的木虱和森林飞蛾反复暴发的持续时间和发生方式是不同的。需要计算机模拟来了解昆虫爆发的动态。为了对森林帐篷毛毛虫的爆发进行数学描述，除了昆虫爆发发展的阈值版本外，修改连续的计算模型以分析波动动态也很有趣。在本文中，我们使用具有延迟调节和生物环境非线性抵消作用的连续模型，模拟了种群爆发期间特定情况下自发阻尼振荡的动力学。新的现象学方程式描述的场景由一系列不同大小的最大值和接近平衡的峰值最终衰减构成，它发生在害虫帐篷毛虫上，我们使用具有延迟调节和生物环境非线性抵消作用的连续模型，模拟了种群爆发期间特定情况下自发阻尼振荡的动力学。新的现象学方程式描述的场景由一系列不同大小的最大值和接近平衡的峰值最终衰减构成，它发生在害虫帐篷毛虫上，我们使用具有延迟调节和生物环境非线性抵消作用的连续模型，模拟了种群爆发期间特定情况下自发阻尼振荡的动力学。新的现象学方程式描述的场景由一系列不同大小的最大值和接近平衡的峰值最终衰减构成，它发生在害虫帐篷毛虫上，疟原虫（Malacosoma disstria），其影响北美的落叶林，导致大规模落叶。新的方案在质量上与我们的阈值发展模型和澳大利亚木虱Cardiaspina albitextura暴发的下陷模型不同。