THE CRITERIA OF ULTIMATE BOUNDEDNESS FOR NONAUTONOMOUS DIFFUSIVE LOTKA-VOLTERRA SYSTEMS IN TWO HETEROGENEOUS PATCHES

In this paper, a set of sufficient conditions is obtained for the ultimate boundedness of nonautonomous n-species diffusive Lotka-Volterra sub-models in two heterogeneous patches. The sub-models are the Lotka-Volterra tree systems, including the Lotka-Volterra chain systems and the Lotka-Volterra models between one and multispecies. The criteria in this paper are in explicit forms of the parameters and thus are easily verifiable.

斑块环境下具Allee效应的捕食者-食饵模型

为了研究斑块环境下捕食者带有Allee效应的捕食者与食饵相互作用的种群扩散模型的动力学性质,分析了两个斑块环境下扩散对种群的影响,并给出了模型解的正性,最终有界性,以及平衡点的存在性和局部稳定性。最终得出当扩散系数很大时,平衡点都是不稳定的;当扩散系数很小时,存在两个平衡点是局部渐近稳定的,这个现象是由模型中的Allee效应产生的。最后进行数值模拟,验证所得结果。