时滞非局部扩散Lotka-Volterra竞争系统行波解的存在性

Existence of traveling wave solutions in delayed nonlocal diffusive Lotka-Volterra competitive system

导出

摘要研究了时滞非局部扩散Lotka-Volterra竞争系统,利用单调迭代方法,通过构造合适的上下解,运用Schauder不动点定理,得到了系统连接两边界平衡点的行波解的存在性。 We consider a delayed nonlocal diffusive Lotka-Volterra competitive system. By using monotone iteration and constructing proper upper-lower solution,we obtain the existence of traveling wave solutions with Schauders fixed point theorem.

作者张秋华刘利斌周恺

机构地区池州学院数学与计算机科学系

出处《山东大学学报（理学版）》 CAS CSCD 北大核心 2015年第1期90-94,共5页 Journal of Shandong University(Natural Science)

基金国家自然科学基金资助项目(11301044) 安徽高校省级自然科学研究项目(KJ2013B173 KJ2013B178) 安徽省高校省级优秀青年人才基金重点资助项目(2013SQRL095ZD)

关键词 LOTKA-VOLTERRA竞争系统非局部行波解上下解 Lotka-Volterra competitive system nonlocal traveling wave solution upper-lower solution

分类号 O175 [理学—数学]

引文网络
相关文献

参考文献1

1Jian-hua Huang,Xing-fu Zou.Travelling Wave Solutions in Delayed Reaction Diffusion Systems with Partial Monotonicity[J].Acta Mathematicae Applicatae Sinica,2006,22(2):243-256. 被引量：6

二级参考文献21

1Huang, J, Zou, X. Existence of travelling wavefronts of delayed reaction diffusion systems without monotonicity. Disc. Conti. Dynam. Syst. (series A), 9:925-936 (2003) 被引量：1
2Huang, W. Monotonicity of heteroclinic orbits and spectral properties of variational equations for delay differential equations. J. Differential Equations, 162:91-139 (2000) 被引量：1
3Ma, S. Travelling wavefronts for delayed reaction-diffusion systems via a fixed point theorem. J. Differential Equations, 171:294-314 (2001) 被引量：1
4Murray J. D. Murray. Mathematical Biology, Springer-Verlag, New York, 1989 被引量：1
5Pao, C.V. Nonlinear parabolic and elliptic equations. New York, Plenum Press, 1992 被引量：1
6Schaaf, K. Asymptotic behavior and travelling wave solutions for parabolic functional differential equations.Trans. Amer. Math. Soc, 302:587-615 (1987) 被引量：1
7Smith, H.L, Thieme, H.R. Monotone semiflows in scalar non-quasimonotone functional differential equations. J. Math. Anal Appl, 150:289-306 (1990) 被引量：1
8Smith, H.L, Thieme, H.R. Strongly order preserving semiflows generated by functional differential equations. J. Differential Equations, 93:322-363 (1991) 被引量：1
9Smith, H.L, Zhao, X.Q. Global asymptotic stability of travelling waves in delayed reaction-diffusion equations. SIAM J. Math. Anal, 31:514-534 (2000) 被引量：1
10So, J. W.H, Wu, J, Zou, X. A reaction diffusion model for a single species with age structure Ⅰ. Travelling wave fronts on uubounded domains, Proc. Royal Soc. London, Ser. A, 457: 1841-1854, 2001 被引量：1

共引文献5

1ZHIPING WANG RUI XU.TRAVELING WAVES OF AN EPIDEMIC MODEL WITH VACCINATION[J].International Journal of Biomathematics,2013,6(5):115-133.
2Junli Liu,Tailei Zhang.Traveling wave solutions of a delayed prey-predator system with diffusion[J].International Journal of Biomathematics,2017,10(1):1-11.
3李海萍.一类具有时滞和空间扩散的SIR传染病模型的行波解[J].数学的实践与认识,2018,48(12):292-295. 被引量：1
4谷雨萌,黄明迪.一类时间周期的时滞竞争系统行波解的存在性[J].应用数学和力学,2020,41(6):658-668. 被引量：4
5Qing Ge,Xia Wang,Libin Rong.A delayed reaction–diffusion viral infection model with nonlinear incidences and cell-to-cell transmission[J].International Journal of Biomathematics,2021,14(8):305-342. 被引量：1

1吴庆华.带时滞互惠模型的稳定性和行波解的存在性[J].生物数学学报,2010,25(1):24-28. 被引量：1
2Fengxiang Mei,Huibin Wu.Gradient systems and mechanical systems[J].Acta Mechanica Sinica,2016,32(5):935-940. 被引量：1
3金银来,朱德明.三点粗异宿环分支[J].数学学报（中文版）,2004,47(6):1237-1242.
4黄璇,王丽英.高维鞍焦点同宿环的稳定性[J].华东师范大学学报（自然科学版）,2009(1):61-67.
5黄璇,王丽英,金银来.任意有限维空间中鞍焦点同宿环的稳定性[J].数学年刊（A辑）,2009,30(4):563-574.
6第四代光学界面AgX光纤探头DS系列[J].实验与分析,2009(4):63-63.
7Ben WANG,Zongyuan MAO.Nonlinear variable structure excitation and steam valving controllers for power system stability[J].控制理论与应用（英文版）,2009,7(1):97-102.
8梅特勒-托利多第四代光学界面AgX光纤探头DS系列全新上市[J].香料香精化妆品,2009(4):60-60.
9梅特勒-托利多第四代光学界面AgX光纤探头DS系列全新上市[J].化工学报,2009,60(7):1772-1772.
10梅特勒-托利多第四代光学界面AgX光纤探头DS系列全新上市[J].中国医药工业杂志,2009,40(7):550-550.

山东大学学报（理学版）

2015年第1期

浏览历史

内容加载中请稍等...

时滞非局部扩散Lotka-Volterra竞争系统行波解的存在性

参考文献1

二级参考文献21

共引文献5

相关作者

相关机构

相关主题

浏览历史