ON SOME METHODOLOGICAL ISSUES IN MATHEMATICAL MODELING OF INTERACTING POPULATIONS

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
E. Venturino, Yuri Caridi, Vitória Dos Anjos, G. D'ancona
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引用次数: 0

Abstract

In this paper, we focus on some important aspects of model building. The discussion specifically concerns the case of predator–prey interactions. We introduce here two models whose slight difference lies just in the way predators survive. In the former, they are taken to feed only on the modeled prey, i.e., to be specialists; in the second one, they are generalists, i.e., they can survive on other not explicitly modeled food resources. But our main focus is on the prey, that may disappear due to the Allee effect, if reduced to very low numbers. On the other hand, they also exhibit herd behavior. Our main aim is the discussion of the issues of mathematical modeling of such situation. We show on this example that modeling requires much more than equations patching from different systems. The analysis of the models indicates that the ecosystem may collapse in the case of specialist predators. If the predators have other feeding resources, they instead can thrive. Both types of models exhibit bistability between the prey-free state and coexistence.
交互种群数学建模中的一些方法论问题
在本文中,我们关注模型构建的一些重要方面。讨论特别关注捕食者-猎物相互作用的情况。我们在这里介绍两种模型,它们的细微差别仅仅在于捕食者的生存方式。在前一种情况下,它们只以模拟的猎物为食,即成为专家;在第二种情况下,它们是多面手,也就是说,它们可以依靠其他没有明确建模的食物资源生存。但我们主要关注的是猎物,如果数量减少到非常少,它们可能会因为阿尔利效应而消失。另一方面,它们也表现出群体行为。我们的主要目的是讨论这种情况下的数学建模问题。我们在这个例子中表明,建模需要的不仅仅是来自不同系统的方程补丁。对模型的分析表明,在特殊捕食者的情况下,生态系统可能会崩溃。如果捕食者有其他的食物来源,它们反而可以茁壮成长。两种模型都表现出无猎物状态和共存状态之间的双稳定性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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