固定和增长区域上一类互惠模型的扩散动力学

Diffusion dynamics of mutualistic model on fixed and growing domains

在生态中,互惠是一类常见的种群关系,由于某种群的数量增加对另一种群的变化有积极的作用,进而使得物种不断地繁衍进化.种群数量的变化受多种因素影响,尤其是栖息地大小的变化.为了研究区域的增长对互惠种群的影响,围绕互惠扩散模型,在固定区域和增长区域上通过数学分析和数值模拟了解其空间动力学.结果表明互惠的两种群之间互利、共生,在合适的环境中不会灭绝,并且区域的增长有利于互惠种群的生存发展.

In the ecological world,mutualism is a very common type of population relationship.The change in the quantity of a certain group affects the change of another group,so that populations continue to multiply and evolve.It is known that the change in population is affected by all aspects,especially the change in habitat size.In order to study the impact of regional growth on the mutualistic population,this paper studied the diffusive mutualistic model,and analyzed its dynamics on fixed and growing domains.Our results showed that the two groups with mutualistic relations benefit each other,and do not tend to be extinct in a suitable environment.In addition,regional growth is conducive to the survival and development of mutualisticl populations.