TRAVELING PULSES AND THEIR BIFURCATION IN A DIFFUSIVE ROSENZWEIG-MACARTHUR SYSTEM WITH A SMALL PARAMETER

被引：0
作者：
Hou, X. I. A. O. J. I. E. [1 ]
LI, Y. I. [2 ]
机构：
[1] Univ North Carolina Wilmington, Dept Math & Stat, Wilmington, NC 28403 USA
[2] City Univ New York, John Jay Coll Criminal Justice, Dept Math & Comp Sci, New York, NY 10019 USA
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2022年
关键词：
Traveling pulses; homoclinic orbits; geometric singular perturbations; transversality; Melnikov?s function; Exchange Lemma; HOMOCLINIC BIFURCATIONS; STABILITY; ORBITS; WAVES; EXISTENCE;
D O I：
10.3934/dcdsb.2022186
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Conditions for the long term coexistence of the prey and preda -tor populations of a diffusive Rosenzweig-MacArthur model are studied. The coexistence is represented by traveling pulses, which approach a coexistence equilibrium state as the moving coordinate approaches to infinities. Three dif-ferent pulses, according to their speeds, are analyzed by regular perturbation as well as geometric singular perturbation methods. We further show that the pulses are connected by a bifurcation curve (surface) in parametric space. The paper concludes with several numerical simulations.
引用
收藏
页码：2655 / 2680
页数：26
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