一类推广的森林模型波前解的稳定性

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一类推广的森林模型波前解的稳定性王丽娜¹, 杨益民¹, 赵烨²1. 北京工商大学理学院, 北京 100048;
2. 北京石油化工学院数理系, 北京 102617 Stability of Traveling Front Solutions for an Extended Forest Dynamical System WANG Lina¹, YANG Yimin¹, ZHAO Ye²1. School of Science, Beijing Technology and Business University, Beijing 100048, China;
2. Department of Mathematics and Physics, Beijing Institute of Petrolchemical Technology, Beijing 102617, China

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摘要这篇文章主要研究了一类带交错扩散的推广的森林模型波前解的稳定性.在一定的假设条件下，利用细致的谱分析以及应用连续半群理论，可以由波前解的谱稳定性直接推出其线性及非线性指数稳定性.

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收稿日期: 2015-09-16

PACS:

O175.2

基金资助:本文由国家自然科学基金（11501016，11471221，61403034），北京市教育委员会基金（KZ201310028030）以及北京工商大学青年教师科研启动基金（QNJJ2015-16）资助项目.

引用本文:

王丽娜, 杨益民, 赵烨. 一类推广的森林模型波前解的稳定性[J]. 应用数学学报, 2017, 40(1): 73-84. WANG Lina, YANG Yimin, ZHAO Ye. Stability of Traveling Front Solutions for an Extended Forest Dynamical System. Acta Mathematicae Applicatae Sinica, 2017, 40(1): 73-84.

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http://123.57.41.99/jweb_yysxxb/CN/或 http://123.57.41.99/jweb_yysxxb/CN/Y2017/V40/I1/73

[1]	Kuznetsov Y A, Antonovsky M Y, Biktashev V N, Aponina E A. A cross-diffusion model of forest boundary dynamics. J. Math. Biol, 1994, 32:219-232
[2]	Chuan L H, Tsujikawa T, Yagi A. Stationary solutions to forest kinematic model. Glasg. Math. J., 2009, 51:1-17
[3]	Chuan L H, Tsujikawa T, Yagi A. Asymptotic behavior of solutions for forest kinematic model. Funkcial. Ekvac., 2006, 49:427-449
[4]	Wu Y P, Lin Y Q. The stability of steady states for a model with diffusion and spatial average. J. Math. Anal. Appl., 1999, 232:259-271
[5]	Shirai T, Chuan L H, Yagi A. Stationary solutions for forest kinematic model under Dirichlet conditions. Sci. Math. Jpn., 2008, 67:319-328
[6]	Wang L N, Shao H L, Wu Y P. Stability of traveling front solutions for a forest dynamical system with cross-diffusion. IMA Journal of Applied Mathematics, 2013, 78:494-512
[7]	Wu Y P. Stability of traveling waves for a cross-diffusion model. J. Math. Anal. Appl., 1997, 215:388-414
[8]	Wu Y P. The existence of traveling waves for a cross-diffusion model of forest boundary dynamics. Beijing Mathematics, 1995, 1:278-287
[9]	Pazy A. Semigroups of Linear Operators and Applications to Partial Differential Equations. Applied Mathematical Sciences 44., New York, Berlin:Springer-Verlag, 1983
[10]	Henry D. Geometric thoery of semilinear parabolic equations. Lecture Notes in Mathematics, 180, New York, Berlin:Springer-Verlag, 1981
[11]	Volpert A, Volpert V A, Volpert V A. Traveling wave solutions of parabolic systems. Translations of Mathematical Monographs, Vol. 140, American Mathematical Society, 1994
[12]	Wang L N, Wu Y P, Li T. Exponential stability of large-amplitude traveling fronts for quasi-linear relaxation systems with diffusion. Physica D., 2011, 240:971-983
[13]	Huang F L. Characteristic condition for exponential stability of linear dynamical systems in Hilbert spaces. Ann. Differential Equations, 1985, 1:43-56

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