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Journal of Applied Mathematics and Computing

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01-06-2016 | Original Research

Study on a giant panda reintroduction state feedback control pulse model with diffusion between two patches

Authors: Xiangyun Shi, Jingen Yang, Guohua Song

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2016

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Abstract

We establish a pulse model for giant pandas reintroduction with state feedback control and diffusion between two patches. A unique order one periodic solution of the system with orbital asymptotic stability are obtained by using the geometry theory of semi-continuous dynamic systems. Especially, the order one periodic solution is bigger than the number of minimum viable population. Besides, we also prove that the system does not have order k (k = 2, 3,...) periodic solutions, which means the order one periodic solution is the unique periodic solution. It is essential for design and development of the reintroduction of captive giant pandas work in the future.

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Title: Study on a giant panda reintroduction state feedback control pulse model with diffusion between two patches
Authors: Xiangyun Shi
Jingen Yang
Guohua Song
Publication date: 01-06-2016
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2016
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-015-0904-8

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