Global dynamics and optimal harvesting in a stochastic two-predators one-prey system with distributed delays and Lévy noise.

IF 1.8 4区数学 Q3 ECOLOGY

Journal of Biological Dynamics Pub Date : 2020-12-01 DOI:10.1080/17513758.2019.1707888

Nafeisha Tuerxun, Xamxinur Abdurahman, Zhidong Teng

引用次数: 5

Abstract

In this paper, we first investigate a stochastic two-predators one-prey model with Lévy noise and distributed delays. The global dynamical behaviour is discussed. The criteria on the existence of global positive solutions, stochastic boundedness, extinction and global asymptotic stability in the mean with probability one are established. And then, the harvesting for each species is introduced to the model. The optimal harvesting strategy and the maximum of expectation of sustainable yield (MESY, for short) are further established.

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具有分布延迟和lsamvy噪声的随机双捕食者单捕食系统的全局动力学和最优收获。

本文首先研究了一类随机双捕食者单捕食模型，该模型具有l杂讯和分布延迟。讨论了系统的全局动力学行为。建立了全局正解的存在性、随机有界性、消光性和概率为1的全局渐近稳定性的判据。然后，每个物种的收获被引入到模型中。进一步建立了最优收获策略和最大可持续产量预期(MESY)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Biological Dynamics ECOLOGY-MATHEMATICAL & COMPUTATIONAL BIOLOGY

CiteScore

4.90

自引率

3.60%

发文量

审稿时长

33 weeks

期刊介绍： Journal of Biological Dynamics, an open access journal, publishes state of the art papers dealing with the analysis of dynamic models that arise from biological processes. The Journal focuses on dynamic phenomena at scales ranging from the level of individual organisms to that of populations, communities, and ecosystems in the fields of ecology and evolutionary biology, population dynamics, epidemiology, immunology, neuroscience, environmental science, and animal behavior. Papers in other areas are acceptable at the editors’ discretion. In addition to papers that analyze original mathematical models and develop new theories and analytic methods, the Journal welcomes papers that connect mathematical modeling and analysis to experimental and observational data. The Journal also publishes short notes, expository and review articles, book reviews and a section on open problems.