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THE EXISTENCE AND ASYMPTOTIC BEHAVIOR OF PERIODIC SOLUTIONS TO A QUASILINEAR PARABOLIC SYSTEM

THE EXISTENCE AND ASYMPTOTIC BEHAVIOR OF PERIODIC SOLUTIONS TO A QUASILINEAR PARABOLIC SYSTEM
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摘要 In this paper, we investigate the existence, stability and global attractivity of T-periodic solutions for a class of quasilinear parabolic equations under Robin boundary conditions. We obtain that periodic solutions exist if the inter-specific competition rates are weak. The numerical simulations are also presented to illustrate our result.
作者 WEN-ZHEN GAN
出处 《International Journal of Biomathematics》 2013年第2期191-203,共13页 生物数学学报(英文版)
关键词 Competitor-competitor-mutualist model QUASILINEAR T-periodic solution asymptotic behavior. 拟线性抛物系统 周期解 解的存在性 拟线性抛物方程 边界条件 全局吸引 数值模拟 稳定性
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