Optimal harvesting for a stochastic competition system with stage structure and distributed delay
A stochastic competition system with harvesting and distributed delay is investigated, which is described by stochastic differential equations with distributed delay. The existence and uniqueness of a global positive solution are proved via Lyapunov functions, and an ergodic method is used to obtain...
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University of Szeged
2021-04-01
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doaj-14f7df5b4c7c4c8783e8bc2acf3775832021-09-10T11:12:07ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752021-04-0120212512210.14232/ejqtde.2021.1.258747Optimal harvesting for a stochastic competition system with stage structure and distributed delayYue Zhang0Jing Zhang1Northeastern University, Shenyang, Liaoning, ChinaNortheastern University, Shenyang, Liaoning, ChinaA stochastic competition system with harvesting and distributed delay is investigated, which is described by stochastic differential equations with distributed delay. The existence and uniqueness of a global positive solution are proved via Lyapunov functions, and an ergodic method is used to obtain that the system is asymptotically stable in distribution. By using the comparison theorem of stochastic differential equations and limit superior theory, sufficient conditions for persistence in mean and extinction of the stochastic competition system are established. We thereby obtain the optimal harvest strategy and maximum net economic revenue by the optimal harvesting theory of differential equations.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8747stochastic differential equationdistributed delaycompetition systemstability in distributionoptimal harvesting strategy |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yue Zhang Jing Zhang |
spellingShingle |
Yue Zhang Jing Zhang Optimal harvesting for a stochastic competition system with stage structure and distributed delay Electronic Journal of Qualitative Theory of Differential Equations stochastic differential equation distributed delay competition system stability in distribution optimal harvesting strategy |
author_facet |
Yue Zhang Jing Zhang |
author_sort |
Yue Zhang |
title |
Optimal harvesting for a stochastic competition system with stage structure and distributed delay |
title_short |
Optimal harvesting for a stochastic competition system with stage structure and distributed delay |
title_full |
Optimal harvesting for a stochastic competition system with stage structure and distributed delay |
title_fullStr |
Optimal harvesting for a stochastic competition system with stage structure and distributed delay |
title_full_unstemmed |
Optimal harvesting for a stochastic competition system with stage structure and distributed delay |
title_sort |
optimal harvesting for a stochastic competition system with stage structure and distributed delay |
publisher |
University of Szeged |
series |
Electronic Journal of Qualitative Theory of Differential Equations |
issn |
1417-3875 |
publishDate |
2021-04-01 |
description |
A stochastic competition system with harvesting and distributed delay is investigated, which is described by stochastic differential equations with distributed delay. The existence and uniqueness of a global positive solution are proved via Lyapunov functions, and an ergodic method is used to obtain that the system is asymptotically stable in distribution. By using the comparison theorem of stochastic differential equations and limit superior theory, sufficient conditions for persistence in mean and extinction of the stochastic competition system are established. We thereby obtain the optimal harvest strategy and maximum net economic revenue by the optimal harvesting theory of differential equations. |
topic |
stochastic differential equation distributed delay competition system stability in distribution optimal harvesting strategy |
url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8747 |
work_keys_str_mv |
AT yuezhang optimalharvestingforastochasticcompetitionsystemwithstagestructureanddistributeddelay AT jingzhang optimalharvestingforastochasticcompetitionsystemwithstagestructureanddistributeddelay |
_version_ |
1714270716223815680 |