具有较大繁殖参数的人口暂时急剧减少的情景模型

A. Perevaryukha
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摘要

我们正在进行的研究致力于预测不稳定生物系统中入侵过程的各个方面。极端事件的建模很有趣。这项工作的目的是在一个计算实验中描述一个主动对抗的场景,它暂时抑制了侵略性侵入过程的发展。在缓慢调控的情况下,入侵物种的影响不是开始于初始的小种群N(0) L,而是在达到临界种群阈值时才开始影响。相关性让我们在模型中考虑一种情况,这种情况可以解释为在延迟免疫激活的情况下人为产生的抗性。在大多数情况下,入侵后,物种的存在仍然存在,但低于其生物最佳水平。方法:采用双时滞方程的修正方法。在有可能克服危机或人口死亡的情况下,获得了新颖性模型,这取决于影响的激活时间。在模型中没有观察到振荡情景。具有阈值反应的方程可以进一步扩展并用于多组分多模配合物的组成。
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SCENARIOS MODEL OF THE EFFECT OF A TEMPORARY SHARP REDUCTION OF POPULATION WITH A LARGE REPRODUCTIVE PARAMETER
Our ongoing research is devoted to various aspects of predicting invasive processes in unstable biosystems. Extreme events are interesting for modeling. The purpose of this work is to describe in a computational experiment a scenario of active counteraction, which temporarily suppresses the development of an aggressive invasive process. The impact in a situation of slow regulation begins to affect not the small initial group N(0) L of individuals of the invading species, but only when the critical population threshold is reached. Relevance let us consider in the model a scenario that can be interpreted as an artificially created resistance in case of delayed immune activation. In most cases, after invasion, the presence of the species remains, but below its biological optimum. Method a modification of the equation with two delays is used. Novelty a model has been obtained where it is possible to overcome the crisis or the death of the population, depending on the time of activation of the impact. The oscillatory scenario is not observed in the model. The equation with a threshold reaction assumes further expansion and use in the composition of multicomponent polymodel complexes.
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