带脉冲毒素的随机三种群模型的动力学分析

taptap下载安装安卓学报 ›› 2020, Vol. 38 ›› Issue (3): 61-64.

• 基础科学 • taptap点点手机网页

带脉冲毒素的随机三种群模型的动力学分析

高永馨，王娜娜

（taptap下载安装安卓理学院，天津300300）

出版日期:2020-06-26 发布日期:2020-06-23
作者简介:高永馨（1966—），女，吉林辽源人，教授，硕士，研究方向为常微分方程理论及其应用.
基金资助:
国家自然科学基金项目（11472298，11401574）；中央高校基本科研业务费专项（ZXH2012K004）；天津市自然科学基金项目（13JCQNJC04400）

Dynamical analysis on stochastic three-specy model with impusive toxicant

GAO Yongxin, WANG Nana

(College of Science, CAUC, Tianjin 300300, China)

Online:2020-06-26 Published:2020-06-23

摘要/Abstract

摘要：

研究一类有脉冲毒素输入的Beddington-DeAngelis 功能性反应的三种群随机捕食者-食饵模型，来探究白噪声与环境毒素对模型动力学的影响。通过分析模型的极限系统，给出了种群灭绝、平均意义下强持久时间及平均意义下有上界的充分条件。

关键词: 三种群模型, 脉冲, 灭绝, 平均意义下强持久, 白噪声

Abstract: A stochastic three-specy prey-predator model with Beddington-DeAngelis functional response and impusive toxicant input is studied in order to find out how white noise and impusive toxicant input influence the dynamics of the model. By analyzing the limit system of the proposed model, the sufficient conditions for extinction, mean strong persistence and superior bound with average time are supplied.

Key words: three-specy model, impluse, extinction, mean strong persistence, white noise

中图分类号:

O175.6

高永馨, 王娜娜. 带脉冲毒素的随机三种群模型的动力学分析[J]. taptap下载安装安卓学报, 2020, 38(3): 61-64.

GAO Yongxin, WANG Nana. Dynamical analysis on stochastic three-specy model with impusive toxicant[J]. Journal of Civil Aviation University of China, 2020, 38(3): 61-64.

参考文献 12

[1]	HALLAM T G, CLARK C E, LASSITER R R. Effects of toxicants on populations: a qualitative approach I. Equilibrium environmental exposure[J]. Ecological Modelling, 1983, 18(3/4): 291-304.
[2]	AGARWAL M, DEVI S. The effect of environmental tax on the survival of biological species in a polluted environment: a mathematical model[J]. Nonlinear Analysis Modelling & Control, 2010, 3(3): 15-24.
[3]	WEN XIANZHANG, WANG ZHICHENG. Persistence and extinction in two species models with impulse[J]. Acta Mathematica Sinica(English Series), 2006, 2: 447-454.
[4]	LIU MENG, ZHANG LEI. Dynamics of a two-species Lotka-Volterra competition system in a polluted environment with pulse toxicant input[J]. Applied Mathematics and Computation, 2009, 214(1): 155-162.
[5]	BAHAR A, MAO X. Stochastic delay Lotka-Volterra model[J]. Journal of Mathematical Analysis & Applications, 2004, 292(2): 364-380.
[6]	LIU MENG, WANG KE. Persistence, extinction and global asymptotical stability of a non-autonom ous predator-prey model with random perturbation[J]. Applied Mathematical Modelling, 2012, 36: 5344-5353.
[7]	LIU MENG, WANG KE. Stochastic Lotka-Volterra systems with L佴vy noise[J]. Journal of Mathematical Analysis & Applications,2014, 410(2):750- 763.
[8]	LIU QUN, CHEN QINGMEI, LIU ZHENHAI. Analysis on stochastic delay Lotka-Volterra systems driven by L佴vy noise[J]. Applied Mathematics & Computation, 2014, 235: 261-271.
[9]	BAI LING, LI JINGSHI, ZHANG KAI, et al. Analysis of a stochastic ratio-dependent predator-prey model driven by L佴vy noise[J]. Applied Mathematics & Computation, 2014, 233(1): 480-493.
[10]	董冉冉, 张道祥, 尹红云. 一类带Beddington -DeAngelis 功能反应的基于比率依赖的三种群扩散捕食者-食饵系统的周期解[J]. 生物数学学报, 2012, 27(2): 213-223.
[11]	LIU MENG, WANG KE, WU QIONG. Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle[J]. Bulletin of Mathematical Biology, 2011, 73:1969-2012.
[12]	ZHANG TONGQIAN, MA WANBIAO, MENG XINZHU. Global dynamics of a delayed chemostat model with harvest by impulsive flocculant input[J]. Advances in Difference Equations, 2017, 1: 1-17.

带脉冲毒素的随机三种群模型的动力学分析

Dynamical analysis on stochastic three-specy model with impusive toxicant

可视化

摘要/Abstract

引用本文

使用本文

参考文献 12

相关文章 5

编辑推荐

Metrics

本文评价

[1]	王志平, 沈月, 韩志勇. 涂覆铝膜CoCrAlY的HCPEB改性过程温度场模拟#br#[J]. taptap下载安装安卓学报, 2019, 37(4): 60-64.
[2]	詹湘琳，石志超. taptap点点手机网页版 [J]. taptap下载安装安卓学报, 2017, 35(1): 52-56.
[3]	李冬霞，李思，崔颜敏. taptap点点手机网页版 [J]. taptap下载安装安卓学报, 2016, 34(2): 10-14.
[4]	李冬霞，杨玲，张媛媛. taptap点点手机网页版 [J]. taptap下载安装安卓学报, 2015, 33(1): 19-23.
[5]	李航，孙薇，刘社宣. taptap点点手机网页版 [J]. taptap下载安装安卓学报, 2013, 31(4): 52-56.