增长区域上两种群的竞争和扩散  

Competition and diffusion of two species on a growing domain

作　　者：朱家桢[1] 林支桂[1] ZHU Jiazhen;LIN Zhigui(School of Mathematical Science,Yangzhou University,Yangzhou 225002,Jiangsu,China)

机构地区：[1]扬州大学数学科学学院,江苏扬州225002

出　　处：《上海师范大学学报（自然科学版）》2020年第5期505-520,共16页Journal of Shanghai Normal University(Natural Sciences)

基　　金：The National Natural Science Foundation of China(11771381,11911540464)。

摘　　要：考虑了增长区域上一类具扩散的Lotka-Volterra竞争模型,定义了生态再生指标并将其作为阈值。探讨了模型的稳定态以及初边值问题解的渐近行为。理论结果与数值模拟均表明,生存区域的增长对竞争种群的双方都有利。This paper is concerned with a Lotka-Volterra competition model with diffusion on a growing domain.We establish a threshold type result on the global dynamics by the virtue of reproduction index.Our theoretical results,together with the numerical simulations,reveal that the expansion of living area benefits the long-term persistence of competitive populations for both sides.

关 键 词：竞争 增长区域 生态再生指标 数值模拟 

分 类 号：O175.26[理学—数学]