Yongkun Li, Li Yang, Wanqin Wu (2014)
Applications of Mathematics
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In this paper, using Mawhin's continuation theorem of the coincidence degree theory, we obtain some sufficient conditions for the existence of positive almost periodic solutions for a class of delay discrete models with Allee-effect.
Tianwei Zhang, Yongzhi Liao (2017)
Kybernetika
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By using some analytical techniques, modified inequalities and Mawhin's continuation theorem of coincidence degree theory, some sufficient conditions for the existence of at least one positive almost periodic solution of a kind of fishing model with delay are obtained. Further, the global attractivity of the positive almost periodic solution of this model is also considered. Finally, three examples are given to illustrate the main results of this paper.
Raffoul, Y. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Corduneanu, C. (2005)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Huo, Hai-Feng, Li, Wan-Tong (2003)
International Journal of Mathematics and Mathematical Sciences
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Wang, Jinrong, Xiang, X., Wei, W., Chen, Qian (2008)
Discrete Dynamics in Nature and Society
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Yang, Xitao, Tang, Siping (2009)
Abstract and Applied Analysis
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Ezzinbi, Khalil, Jazar, Mustapha (2004)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Wang, Jinrong, Xiang, X., Wei, W. (2007)
Advances in Difference Equations [electronic only]
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Wang, Jinrong, Xiang, X., Wei, W., Chen, Qian (2008)
Fixed Point Theory and Applications [electronic only]
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J. W. McCoy (1970)
Colloquium Mathematicae
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Radosław Pietkun (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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The existence of a continuous periodic and almost periodic solutions of the nonlinear integral inclusion is established by means of the generalized Schauder fixed point theorem.
Bingwen Liu (2015)
Annales Polonici Mathematici
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This paper is concerned with a class of Nicholson's blowflies models with multiple time-varying delays, which is defined on the nonnegative function space. Under appropriate conditions, we establish some criteria to ensure that all solutions of this model converge globally exponentially to a positive almost periodic solution. Moreover, we give an example with numerical simulations to illustrate our main results.