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.
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Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R ChinaCent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
Hu, Die
Tang, Xianhua
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Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R ChinaCent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
Tang, Xianhua
Zhang, Qi
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Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R ChinaCent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
机构:
South China Univ Technol, Dept Appl Math, Guangzhou 510640, Guangdong, Peoples R ChinaSouth China Univ Technol, Dept Appl Math, Guangzhou 510640, Guangdong, Peoples R China
Wang, Youjun
Shen, Yaotian
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South China Univ Technol, Dept Appl Math, Guangzhou 510640, Guangdong, Peoples R ChinaSouth China Univ Technol, Dept Appl Math, Guangzhou 510640, Guangdong, Peoples R China