Global attractivity in monotone and subhomogeneous almost periodic systems
作者： Xiao-Qiang Zhao
DOI: 10.1016/S0022-0396(02)00054-2
关键词: Mathematics 、 Monotone polygon 、 Class (set theory) 、 Mathematical analysis 、 Delay differential equation 、 Applied mathematics 、 Differential systems
摘要: Abstract A global attractivity theorem is first proved for a class of skew-product semiflows. Then this result applied to monotone and subhomogeneous almost periodic reaction–diffusion equations, ordinary differential systems delay equations their dynamics.
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sci-hub.se 参考文章(31)
Stability and convergence in strongly monotone dynamical systems. Crelle's Journal. ,vol. 383, pp. 1- 53 ,(1988) , 10.1515/CRLL.1988.383.1
Vincenzo Capasso, V Capasso, Mathematical structures of epidemic systems ,(1993)
Horst R. Thieme, Uniform weak implies uniform strong persistence for non-autonomous semiflows Proceedings of the American Mathematical Society. ,vol. 127, pp. 2395- 2403 ,(1999) , 10.1090/S0002-9939-99-05034-0
Jack K. Hale, Asymptotic Behavior of Dissipative Systems ,(1988)
Daniel Bauman Henry, Geometric Theory of Semilinear Parabolic Equations ,(1981)
E. N. Dancer, P. Hess, Stability of fixed points for order-preserving discrete-time dynamical systems Crelle's Journal. ,vol. 419, pp. 125- 139 ,(1991)
Morris W. Hirsch, Hal L. Smith, Xiao-Qiang Zhao, Chain Transitivity, Attractivity, and Strong Repellors for Semidynamical Systems Journal of Dynamics and Differential Equations. ,vol. 13, pp. 107- 131 ,(2001) , 10.1023/A:1009044515567
Wenxian Shen, Yingfei Yi, Convergence in almost periodic Fisher and Kolmogorov models Journal of Mathematical Biology. ,vol. 37, pp. 84- 102 ,(1998) , 10.1007/S002850050121
S.R Dunbar, K.P Rybakowski, K Schmitt, Persistence in models of predator-prey populations with diffusion Journal of Differential Equations. ,vol. 65, pp. 117- 138 ,(1986) , 10.1016/0022-0396(86)90044-6