强扰动对竞争两种群的影响

发布时间：2018-04-15 23:09

本文选题：Lotka-Volterra竞争系统 + 扰动系统　；参考：《华中师范大学》2017年硕士论文

【摘要】：本文旨在研究竞争两种群的Lotka-Volterra系统在唯一正平衡点P处发生扰动后的扰动系统,在P为正平衡点的前提下,指出扰动参数在不同范围内扰动系统的稳定性情况.在现实生活中,一个种群竞争系统总会发生一些意料不到的意外,造成难以估计的后果,但是我们可以通过扰动系统对其作出预测分析,减少损失,具有重要的现实意义。
[Abstract]:The purpose of this paper is to study the perturbed Lotka-Volterra system with two competing species after it is perturbed at the unique positive equilibrium point P. if P is the positive equilibrium point, the stability of the perturbed system with perturbation parameters in different ranges is pointed out.In real life, some unexpected accidents will occur in a population competition system, resulting in inestimable consequences. However, we can make prediction and analysis of the population competition system by perturbation system to reduce the loss, which is of great practical significance.
【学位授予单位】：华中师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O175

【参考文献】