摘要
运用数学物理方法,通过生态模型考虑了在一个由群体P1和P2所组成的生态社会中,在作用因素不同的条件下,由繁殖和相互作用等引起的各群体数量n1(t)和n2(t)随时间的发展变化规律.讨论了线性模型中指数系数β1和β2随系数kij的符号变化而表现出的五种情况,说明了各种情况下n1(t)和n2(t)的变化趋势;分别给出了考虑有限环境承载容量和掠食者掠食周期条件下的非线性模型.
The ecological model of an eco-society, which is composed of group P1 and P2, was set up by the method of mathematical physics. The law of the change in number of the groups, n1 （t） and n2 （t）, over time caused by the propagation and interaction under the role of different factors was considered. The five cases appeared in exponential coefficientsβ1 andβ2 caused by the change of the symbol of coefficients kij in linear model were discussed. The trend of n1（ t ） and n2 （t） in different cases were explained. The nonlinear models were given considering the limited environmental carrying capacity and under the conditions of predators＇ predatory cycle.
关键词
数学物理方法
生态社会
线性模型
非线性模型
method of mathematical phvsics
eco-societw linear model
nonlinear model
