摘要
主要研究捕食者和食饵皆具有一般密度制约的扩散BeddingtonDeAngelis捕食-食饵模型的行波解.通过构造行波系统的Wazewski集和Lyaponov函数,应用拓扑打靶法的方法建立系统连结边界平衡点到共存平衡点的轨道,进而证明原扩散系统连结边界平衡点到共存平衡点的非负行波解的存在性.
In this paper,traveling wave solutions of the diffusive Beddington-DeAngelis predatorprey models with the general density restricts are considered.By constructing the Wazewski set of the traveling wave systems and using the methods of topological shooting,the authors established the existence of traveling wave solutions for the connecting a boundary equilibrium point to the coexistence equilibrium point for the original models,with the help of constructed Lyaponov function.
作者
刘欣然
肖海滨
Liu Xinran;Xiao Haibin(School of Mathematics and Statistics,Ningbo University,Ningbo 315211,China)
出处
《纯粹数学与应用数学》
2021年第3期306-317,共12页
Pure and Applied Mathematics
基金
浙江省自然科学基金(Y17A010023,Y14A010004).
