• 文献检索
  • 文档翻译
  • 深度研究
  • 学术资讯
  • Suppr Zotero 插件Zotero 插件
  • 邀请有礼
  • 套餐&价格
  • 历史记录
应用&插件
Suppr Zotero 插件Zotero 插件浏览器插件Mac 客户端Windows 客户端微信小程序
定价
高级版会员购买积分包购买API积分包
服务
文献检索文档翻译深度研究API 文档MCP 服务
关于我们
关于 Suppr公司介绍联系我们用户协议隐私条款
关注我们

Suppr 超能文献

核心技术专利:CN118964589B侵权必究
粤ICP备2023148730 号-1Suppr @ 2026

文献检索

告别复杂PubMed语法,用中文像聊天一样搜索,搜遍4000万医学文献。AI智能推荐,让科研检索更轻松。

立即免费搜索

文件翻译

保留排版,准确专业,支持PDF/Word/PPT等文件格式,支持 12+语言互译。

免费翻译文档

深度研究

AI帮你快速写综述,25分钟生成高质量综述,智能提取关键信息,辅助科研写作。

立即免费体验

Stochastic models for toxicant-stressed populations.

作者信息

Gard T C

机构信息

Department of Mathematics, University of Georgia, Athens, 30602.

出版信息

Bull Math Biol. 1992 Sep;54(5):827-37. doi: 10.1007/BF02459932.

DOI:10.1007/BF02459932
PMID:1638262
Abstract

We obtain conditions for the existence of an invariant distribution on (0, infinity) for stochastic growth models of Ito type. We interpret the results in the case where the intrinsic growth rate is adjusted to account for the impact of a toxicant on the population. Comparisons with related results for ODE models by Hallam et al. are given, and consequences of taking the Stratonovich interpretation for the stochastic models are mentioned.

摘要

相似文献

1
Stochastic models for toxicant-stressed populations.
Bull Math Biol. 1992 Sep;54(5):827-37. doi: 10.1007/BF02459932.
2
Multivariate Markov processes for stochastic systems with delays: application to the stochastic Gompertz model with delay.具有时滞的随机系统的多元马尔可夫过程:应用于具有时滞的随机冈珀茨模型
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Jul;66(1 Pt 1):011914. doi: 10.1103/PhysRevE.66.011914. Epub 2002 Jul 26.
3
Harvesting in a random environment: Itô or Stratonovich calculus?
J Theor Biol. 2007 Feb 7;244(3):424-32. doi: 10.1016/j.jtbi.2006.08.029. Epub 2006 Sep 23.
4
Itô versus Stratonovich calculus in random population growth.随机种群增长中的伊藤微积分与斯特拉托诺维奇微积分
Math Biosci. 2007 Mar;206(1):81-107. doi: 10.1016/j.mbs.2004.09.002. Epub 2005 Oct 6.
5
Stratonovich-to-Itô transition in noisy systems with multiplicative feedback.噪声系统中具有乘法反馈的 Stratonovich-Itô 转换。
Nat Commun. 2013;4:2733. doi: 10.1038/ncomms3733.
6
Quantitative aspects of evaluating the consequences of pollution for parasite populations and communities.评估污染对寄生虫种群和群落影响的定量方面。
Parassitologia. 1997 Sep;39(3):243-8.
7
Dynamical behaviors of a stochastic delay logistic system with impulsive toxicant input in a polluted environment.污染环境中具有脉冲毒物输入的随机时滞 logistic 系统的动态行为。
J Theor Biol. 2013 Jul 21;329:1-5. doi: 10.1016/j.jtbi.2013.03.005. Epub 2013 Mar 21.
8
Multiplicative Lévy processes: Itô versus Stratonovich interpretation.乘法 Lévy 过程:伊藤解释与斯特拉托诺维奇解释
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Nov;80(5 Pt 1):051113. doi: 10.1103/PhysRevE.80.051113. Epub 2009 Nov 12.
9
Stochastic population growth in spatially heterogeneous environments: the density-dependent case.空间异质环境中的随机种群增长:密度依赖情形
J Math Biol. 2018 Feb;76(3):697-754. doi: 10.1007/s00285-017-1153-2. Epub 2017 Jul 3.
10
On a conjecture concerning population growth in random environment.关于随机环境中种群增长的一个猜想。
Biol Cybern. 1979 Mar 6;32(2):95-9. doi: 10.1007/BF00337440.

引用本文的文献

1
Tumor growth and population modeling in a toxicant-stressed random environment.有毒物质胁迫随机环境中的肿瘤生长和种群建模。
J Math Biol. 2024 Jan 21;88(2):18. doi: 10.1007/s00285-023-02035-y.

本文引用的文献

1
A generalized model of a resource-population system : I. General properties.
Oecologia. 1971 Dec;7(4):382-413. doi: 10.1007/BF00345861.
2
Deciphering death: a commentary on Gompertz (1825) 'On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies'.解读死亡:对戈姆珀茨(1825年)《论表达人类死亡率规律的函数的性质,以及确定生命意外事件价值的一种新模式》的评论
Philos Trans R Soc Lond B Biol Sci. 2015 Apr 19;370(1666). doi: 10.1098/rstb.2014.0379.
3
Paradox of enrichment: destabilization of exploitation ecosystems in ecological time.富集悖论:生态时间尺度下捕食生态系统的失稳
Science. 1971 Jan 29;171(3969):385-7. doi: 10.1126/science.171.3969.385.
4
Persistence in population models with demographic fluctuations.
J Math Biol. 1986;24(3):327-39. doi: 10.1007/BF00275641.
5
A nonautonomous model of population growth.
J Math Biol. 1989;27(5):491-506. doi: 10.1007/BF00288430.
6
The threshold of survival for systems in a fluctuating environment.
Bull Math Biol. 1989;51(3):311-23. doi: 10.1007/BF02460110.