Dynamic analysis of unilateral diffusion Gompertz model with impulsive control strategy View Full Text


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Article Info

DATE

2018-12

AUTHORS

Yaning Li, Huidong Cheng, Jianmei Wang, Yanhui Wang

ABSTRACT

In this paper, we establish a unilateral diffusion Gompertz model of a single population in two patches in a theoretical way. Firstly, we prove the existence and uniqueness of an order-one periodic solution by the geometry theory of differential equations and the method of successor function. Secondly, we prove the stability of the order-one periodic solution by imitating the theory of the limit cycle of an ordinary differential equation. Finally, we verify the theoretical results by numerical simulations. More... »

PAGES

32

References to SciGraph publications

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    http://scigraph.springernature.com/pub.10.1186/s13662-018-1484-3

    DOI

    http://dx.doi.org/10.1186/s13662-018-1484-3

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    https://app.dimensions.ai/details/publication/pub.1100557582


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