STOCHASTIC PREDATOR-PREY MODEL WITH LESLIE-GOWER AND HOLLING-TYPE II SCHEMES WITH REGIME SWITCHING

被引：1
|
作者：
Lv, Jingliang [1 ]
Wang, Ke [1 ]
机构：
[1] Harbin Inst Technol Weihai, Dept Math, Weihai, Peoples R China
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2018年 / 48卷 / 04期
关键词：
Predator-prey; Markov chains; comparison theorem; optimal harvest policy; Markovian switching; LOTKA-VOLTERRA MODEL; POPULATION-DYNAMICS; PERTURBATION; BEHAVIOR;
D O I：
10.1216/RMJ-2018-48-4-1201
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A predator-prey model with Leslie-Gower and Holling-type II schemes with regime switching will be considered, that is, both white and color noises are taken into account. We firstly show that there exists a globally unique solution to the stochastic predator-prey model by use of the comparison theorem. Then, asymptotic properties of the system will be examined and the conditions under which the system is stochastically persistent will be given. Moreover, lastly, we analyze the optimal harvesting policy of the stochastic prey-predator model with Markovian switching.
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页码：1201 / 1218
页数：18
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