污染环境下随机三种群系统的生存阈值研究

发布时间：2018-03-11 09:25

本文选题：污染环境　切入点：三种群　出处：《石河子大学》2017年硕士论文　论文类型：学位论文

【摘要】：科技的发展,加速了工业化的进程,使人们得到了许多便利,但随之而来的环境污染问题却日益严重,并且已经威胁到在其中生存的各种生物的日常生存。而生存于自然界中的种群必然与周围的生物息息相关,生物群落中各物种之间的相互关系,通常是围绕物质、能量、信息和栖所等方面展开的。在一个共同的自然环境中生存的两种群之间的相互作用有互惠共存、相互竞争、捕食者与被捕食者及寄生物与寄主。三种群及一般的多种群之间的相互作用显然要比两种群间的相互作用要复杂,本文研究污染环境下三种群随机互惠、竞争、一食饵两捕食者与两食饵一捕食者这几种关系。并且,通过研究各相互关系所对应的生态模型,获得了各种群趋于局部灭绝、随机非平均持久与随机弱平均持久的充分条件,随之得到了各种群随机弱平均持久与趋于灭绝之间的阈值;并且通过数值模拟对所得结论进行验证。
[Abstract]:The development of science and technology has accelerated the process of industrialization and made people much more convenient, but the problem of environmental pollution has become more and more serious. And it has threatened the daily survival of the various organisms that live in it. And the populations that live in nature are bound to be closely related to the surrounding organisms, and the relationships between the species in the biota, usually around matter, energy, The interaction between two species living in a common natural environment is mutually beneficial and competitive. The interaction between predator and prey, host and host is obviously more complicated than that between two species. In this paper, we study the stochastic reciprocity and competition of three species in polluted environment. The relationships between one predator, two predators and two prey and one predator are studied. By studying the ecological models corresponding to each other, sufficient conditions are obtained for the local extinction, stochastic non-average persistence and random weakly mean persistence of various groups. The threshold between the persistence of random weak mean and the tendency to extinction is obtained, and the results are verified by numerical simulation.
【学位授予单位】：石河子大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O175

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