Global attractivity of a positive periodic solution for a nonautonomous stage structured population dynamics with time delay and diffusion |
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| Authors: | Zhengqiu Zhang Li Wang |
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| Institution: | Department of Applied Mathematics, Hunan University, Changsha 410082, PR China |
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| Abstract: | By employing the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for a nonautonomous stage structured population dynamics with time delay and diffusion is established. Further, by constructing a Lyapunov functional and using the result of the existence of positive periodic solution, the attractivity of a positive periodic solution for above system is obtained. |
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| Keywords: | Time delay Stage-structures Diffusion Positive periodic solutions Lyapunov functional The continuation theorem of coincidence degree theory |
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