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增长区域上两种群的竞争和扩散
朱家桢, 林支桂
扬州大学 数学科学学院, 江苏 扬州 225002
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。
关键词:  竞争  增长区域  生态再生指标  数值模拟
DOI:10.3969/J.ISSN.1000-5137.2020.05.002
分类号:O175.26
基金项目:The National Natural Science Foundation of China (11771381, 11911540464)
Competition and diffusion of two species on a growing domain
ZHU Jiazhen, LIN Zhigui
School of Mathematical Science, Yangzhou University, Yangzhou 225002, Jiangsu, China
Abstract:
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.
Key words:  competition  growing domain  ecological reproduction indexes  simulation