Numerical and Analytical Study for the Stochastic Spatial Dependent Prey-Predator Dynamical System

IF 17.7 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-07-20 DOI:10.1115/1.4066038

M. Z. Baber, Muhammad Waqas Yasin, Changjin Xu, Nauman Ahmed, M. Iqbal

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Abstract

Prey and predator are the important factor of the ecosystem. Generally, it is considered that prey-predator models depends on time and it is only required nonlinear system of equations for its dynamical study. But it is observed that such species can move from one to place to another and in such a way there is a need of nonlinear equations which also depends on spatial as well. The stochastic prey-predator system is investigated numerically and analytically. The proposed stochastic NSFD is used for numerical study; it is consistent with given system and its linear stability analysis showed that it is unconditionally stable. There are 2 equilibria one is predator free and second is coexistence equilibrium. These equilibria are successfully gained in the numerical case. Extended generalized Riccati equation mapping method is applied for analytical study. The obtained solutions are of the form rational, hyperbolic, trigonometric. For the comparative study, the unique physical problems are developed and their simulations are drawn for various choices of the parameters. The graphical behavior depict the ecacy of our study.

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随机空间依赖性猎物-捕食者动态系统的数值和分析研究

猎物和捕食者是生态系统的重要因素。一般认为，猎物-捕食者模型取决于时间，因此只需要非线性方程组来对其进行动态研究。但据观察，这些物种可以从一个地方移动到另一个地方，因此需要同样取决于空间的非线性方程。我们对随机猎物-捕食者系统进行了数值和分析研究。提出的随机 NSFD 被用于数值研究；它与给定系统一致，其线性稳定性分析表明它是无条件稳定的。有两个平衡点，一个是无捕食者平衡点，另一个是共存平衡点。在数值计算中成功地获得了这些均衡。扩展的广义里卡提方程映射法被用于分析研究。得到的解有有理、双曲、三角三种形式。为了进行比较研究，提出了独特的物理问题，并针对不同的参数选择进行了模拟。图形行为描述了我们研究的生态性。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.