Chan W L, Guo B Z
Department of Mathematics, Chinese University of Hong Kong, Shatin, N.T.
J Math Biol. 1990;28(2):225-35. doi: 10.1007/BF00163146.
We study the large time behaviour of a nonlinear population model with a general logistic term. It is proved that every solution must have a limit when time becomes infinite. We present conditions that guarantee the boundedness of the solution. Furthermore, we prove that in general no oscillation is possible for the total number of population. This is in sharp contrast to the linear case.
我们研究了一个带有一般逻辑项的非线性种群模型的长时间行为。结果表明，当时间趋于无穷时，每个解都必定有一个极限。我们给出了保证解有界的条件。此外，我们证明了总体数量一般不可能出现振荡。这与线性情况形成了鲜明对比。
