Uniform persistence and almost periodic solutions of a nonautonomous patch occupancy model

被引：0
作者：
Hui Zhou
Jehad Alzabut
Shahram Rezapour
Mohammad Esmael Samei
机构：
[1] Hefei Normal University,School of Mathematics and Statistics
[2] Prince Sultan University,Department of Mathematics and General Sciences
[3] Azarbaijan Shahid Madani University,Department of Mathematics
[4] Bu-Ali Sina University,Department of Mathematics
[5] University of Science and Technology of China,School of Mathematics
[6] China Medical University Hospital,Department of Medical Research
来源：
Advances in Difference Equations | / 2020卷
关键词：
Nonautonomous dynamical species; Uniform persistence; Almost periodic solution; Global asymptotic stability; 34K13; 34C25; 92D25; 34D40;
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摘要：
In this paper, a nonlinear nonautonomous model in a rocky intertidal community is studied. The model is composed of two species in a rocky intertidal community and describes a patch occupancy with global dispersal of propagules and occupy each other by individual organisms. Firstly, we study the uniform persistence of the model via differential inequality techniques. Furthermore, a sharp threshold of global asymptotic stability and the existence of a unique almost periodic solution are derived. To prove the main results, we construct an appropriate Lyapunov function whose conditions are easily verified. The assumptions of the model are reasonable, and the results complement previously known ones. An example with specific values of parameters is included for demonstration of theoretical outcomes.
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