一个带休眠期反应扩散模型常数平衡解的全局稳定性
The Global Asymptotic Stability of a Reaction-diffusion Model with a Quiescent Stage
摘要
对一个带休眠期的反应扩散模型建立了Lyapunov泛函,由此得到了其常数平衡解的全局渐近稳定性.
The Lyapunov functional is established for a reaction diffusion model with a resting stage,and the global asymptotic stability of the constant equilibrium solution is obtained.
出处
《菏泽学院学报》
2016年第5期36-39,共4页
Journal of Heze University
关键词
休眠期
反应扩散模型
常数平衡解
LYAPUNOV泛函
quiescent stage
reaction-diffusion model
constant equilibrium solutions
Lyapunov functional
二级参考文献12
-
1J]N Yu, ZHAO Xiao-qiang. Spatial dynamics of a non-local periodic reaction diffusion model with stage structure[J]. SIAMJ Math Anal, 2009, 40(23): 2496-2516.
-
2GOURLEY S, KUANG Y. Wavefronts and global sta?bility is a time-delayed population model with stage structure[J]. R Soc Lond Proc, Ser A: Math Phys Eng Sci, 2003, 459(2034): 1563-1579.
-
3GOURLEY S, SoJ, WuJ. Non-locality of reaction?diffusion equations induced by delay: biological modeling and nonlinear dynamics[J).J Math Sci, 2004, 124(4): 5119-5153.
-
4SoJ, WuJ, Zou X. A reaction-diffusion model for a single species with age structure: I. traveling wave fronts on unbounded domains[J]. Proc R Soc Lond A, 2001, 457(2012): 1841-1853.
-
5THIEME H, ZHAO Xiao-qiang. Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models[J].J Differen?tial Equations, 2003, 195(2): 430-470.
-
6Xu Da-shun, ZHAO Xiao-qiang. A non local reaction?diffusion population model with stage structure[J]. Can Appl Math Q, 2003, 11(3): 303-320.
-
7LIANG Xing, YI Ying-fei, ZHAO Xiao-qiang. Spread?ing speeds and traveling waves for periodic evolution systems[J].J Differential Equations, 2006, 21(231): 57-77.
-
8PETER Hess. Periodic-parabolic boundary value problems and positivity[M). Essex: Longman Sci?entific and Technical, 1991: 20-38.
-
9MARTIN R, SMITH H. Abstract functional differ?ential equations and reaction-diffusion systems[J]. Trans Amer Math Soc, 1990,321(1): 1-44.
-
10SMITH H. Monotonic dynamical systems: an intro?duction to the theory of competitive and coopera?tive systems[Mil /Mathematical Surveys and Mono?graphs. Providence: American Mathematical Soci?ety, 1995: 124-126.
共引文献5
-
1王婷婷,唐浩彭,马智慧.具有生境复杂性效应的时滞捕食-食饵系统[J].兰州大学学报（自然科学版）,2018,54(5):682-690. 被引量：1
-
2李学仕,舒雅琴,霍锦霞.离散时间的时滞反应扩散方程组的行波解（英文）[J].兰州大学学报（自然科学版）,2016,52(1):112-116.
-
3王双明.一类具有时滞的周期流行病模型的动力学分析[J].山东大学学报（理学版）,2017,52(1):81-87. 被引量：1
-
4王双明,张明军,樊馨蔓.一类具时滞的周期logistic传染病模型空间动力学研究[J].应用数学和力学,2018,39(2):226-238. 被引量：6
-
5王双明,樊馨蔓,张明军,梁俊荣.具周期性潜伏期的SEIR传染病模型的动力学[J].数学物理学报（A辑）,2020,40(2):527-539. 被引量：8
-
1柏萌,冯兆永,徐士河,刘成霞.带分布时滞的具有尺度结构的种群模型的平衡指数增长[J].中山大学学报（自然科学版）,2014,53(1):22-27. 被引量：1
-
2柏萌,王华,徐士河.带分布时滞的具有尺度结构的种群模型的异步指数增长[J].数学的实践与认识,2014,44(12):170-178.
-
3西班牙稀产量大幅度增长[J].中国果业信息,2005,22(5X):38-38.
-
4张久远,冯兆永,刘成霞,卫雪梅.关于肿瘤细胞破坏并入侵正常组织或细胞质基质的数学模型的分析[J].中山大学学报（自然科学版）,2013,52(3):48-54. 被引量：3
-
5余利隽,曹群阳,毛军铭.金边凤梨(镶边五彩凤梨)的栽培与养护[J].农业工程技术（温室园艺）,2008(5):59-59.
