Research Article
Dynamical Analysis of a Predator-Prey Economic Model with Impulsive Control Strategy
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@INPROCEEDINGS{10.1007/978-3-030-72795-6_60, author={Airen Zhou and Jianjun Jiao}, title={Dynamical Analysis of a Predator-Prey Economic Model with Impulsive Control Strategy}, proceedings={Simulation Tools and Techniques. 12th EAI International Conference, SIMUtools 2020, Guiyang, China, August 28-29, 2020, Proceedings, Part II}, proceedings_a={SIMUTOOLS PART 2}, year={2021}, month={4}, keywords={Control strategy Extinction Permanence}, doi={10.1007/978-3-030-72795-6_60} }- Airen Zhou
Jianjun Jiao
Year: 2021
Dynamical Analysis of a Predator-Prey Economic Model with Impulsive Control Strategy
SIMUTOOLS PART 2
Springer
DOI: 10.1007/978-3-030-72795-6_60
Abstract
In the present work, a predator-prey economic model with impulsive stocking immature predator and impulsive harvesting mature predator is studied. First, the method of stroboscopic mapping of the discrete dynamics is used in our demonstrate. After that, it is proved that the relevant solution of the studied system is globally asymptotically stable. Next, based on the principle of comparison of pulsed differential equations, it is also proved that the studied system possesses its persistence. In the end, the numerical experiment is introduced to demonstrate our results. The obtained conclusions provide a methodological guidance for the actual biological economic managements.
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