论文标题
关于能够爆炸性生长的物种的相互作用
On the interaction of species capable of explosive growth
论文作者
论文摘要
在经典的Lotka-Volterra种群模型中，相互作用的物种会影响彼此的增长率。我们提出了一个替代模型，其中该物种通过限制系数相互影响，而不是通过增长率来影响彼此。这似乎更现实：狐狸的存在不太可能会降低兔子的生育能力，而是有助于限制兔子的人口。在定期系数的情况下，都考虑了捕食和竞争的情况，以及竞争。当一个人切换到变量的倒数时，我们的模型变成线性。在另一个方向上，我们使用类似的想法来得出一类周期方程的多重性结果。
In the classical Lotka-Volterra population models, the interacting species affect each other's growth rate. We propose an alternative model, in which the species affect each other through the limitation coefficients, rather then through the growth rates. This appears to be more realistic: the presence of foxes is not likely to diminish the fertility of rabbits, but will contribute to limiting rabbit's population. Both the cases of predation and of competition are considered, as well as competition in case of periodic coefficients. Our model becomes linear when one switches to the reciprocals of the variables. In another direction we use a similar idea to derive a multiplicity result for a class of periodic equations.
