The existence of periodic travelling waves for singularly perturbed predator-prey equations via the Conley Index

Author:

Gardner R,Smoller J

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference6 articles.

1. K. Alligood, J. Mallet-Paret, and J. Yorke, Families of periodic orbits: local continuability does not imply global continuability, to appear.

2. Isolated Invariant Sets and the Morse Index;Conley,1978

3. On travelling wave solutions of nonlinear diffusion equations;Conley,1975

4. Diffusion and the predator-prey interaction;Conway;SIAM J. Appl. Math.,1977

5. Boundary and interior transition layer phenomena for pairs of second order differential equations;Fife;J. Math. Appl. Anal.,1976

Cited by 45 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Traveling Wavefronts to a Model of Precursor and Differentiated Cells: Impacting Parameter-Structure Transition from Monostable to Bistable, and from Monotone to Non-monotone;Journal of Dynamics and Differential Equations;2024-08-06

2. Existence of Traveling Wave Solutions for the Perturbed Modefied Gardner Equation;Qualitative Theory of Dynamical Systems;2024-02-09

3. Dynamics for a diffusive prey–predator model with advection and free boundaries;Mathematical Methods in the Applied Sciences;2024-01-23

4. Topological Inference of the Conley Index;Journal of Dynamics and Differential Equations;2023-09-23

5. Periodic traveling waves with large speed;Zeitschrift für angewandte Mathematik und Physik;2023-04-24

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3