|本期目录/Table of Contents|

[1]黄幼林,魏春金,张树文.周期随机捕食-食饵系统的周期解的存在性[J].集美大学学报(自然科学版),2022,27(2):171-180.
　HUANG Youlin,WEI Chunjin,ZHANG Shuwen.The Existence of Periodic Solution of Periodic Stochastic Predator-Prey Model[J].Journal of Jimei University,2022,27(2):171-180.
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第27卷
期数:
2022年第2期
页码:
171-180
栏目:
数理科学与信息工程
出版日期:
2022-03-28

文章信息/Info

Title:
The Existence of Periodic Solution of Periodic Stochastic Predator-Prey Model
作者:
黄幼林; 魏春金; 张树文
（集美大学理学院，福建 厦门 361021）
Author(s):
HUANG Youlin; WEI Chunjin; ZHANG Shuwen
(School of Science,Jimei University,Xiamen 361021,China)
关键词:
捕食-食饵系统; Holling Ⅱ增长函数; 全局正解; 存在唯一性; 周期解; 持久与灭绝
Keywords:
predatorprey system; HollingⅡgrowth function; global positive solution; the existence and uniqueness; periodic solution; persistence and extinction
分类号:
-
DOI:
-
文献标志码:
A
摘要:
利用随机分析的方法，研究捕食者具有Holling Ⅱ增长函数的周期随机捕食食饵系统的周期解的存在性。通过李雅普诺夫泛函方法证明，对于给定的任意正初始值,系统都存在唯一的全局正解。给出系统存在非平凡的正周期解的充分条件，得到系统持久性与灭绝的充分条件。最后,给出数值模拟来验证主要结果。
Abstract:
In this paper,the existence of periodic solutions for a periodic stochastic predatorprey model with Holling Ⅱgrowth function in the predator was studied by stochastic analysis.It was proved that the system had a unique global positive solution for any given positive initial value by the Lyapunov functional method.Then some sufficient conditions for the existence of nontrivial positive periodic solutions were given,and the persistence and extinction of the population were proved.Finally,some numerical simulations were given to verify the main results.

参考文献/References:

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备注/Memo

备注/Memo:
更新日期/Last Update: 2022-05-01