捕食者-猎物模型一般形式中的耦合非线性随机积分方程

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2024-10-14 DOI:10.1016/j.amc.2024.129123

Hengameh Tamimi, Mohammad Bagher Ghaemi, Reza Saadati

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引用次数: 0

摘要

本文探讨了随机捕食者-猎物模型。该模型为理解相互作用物种的动态提供了一个概率框架。面对自然界的不可预测性，随机捕食者-猎物模型是预测捕食者和猎物之间错综复杂的生存平衡的实用工具。本研究引入了一种新的非紧凑性测量方法，并将其应用于研究非线性随机方程的解。此外，我们还提出了一种使用块脉冲函数的数值方法，并通过新的非紧凑性度量证明了该方法在求解随机积分系统时的收敛性。最后，我们利用所提出的方法求解了一个数值示例。

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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Coupled nonlinear stochastic integral equations in the general form of the predator-prey model

This article explores the stochastic predator-prey model. This model offers a probabilistic framework for understanding the dynamics of interacting species. The stochastic predator-prey model is a practical tool for predicting the intricate balance of survival between predators and their prey in the face of nature's unpredictability. This study introduces a new measure of noncompactness and applies it to investigate solutions in nonlinear stochastic equations. Additionally, we present a numerical method using block pulse functions and demonstrate its convergence through the new measure of noncompactness for solving the system of stochastic integrals. Finally, the proposed method is employed to solve a numerical example.

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.